Edit Profile (opens in new tab) Shanmugalingam, Nageswari Co-Author Distance Author ID: shanmugalingam.nageswari Published as: Shanmugalingam, Nageswari; Shanmugalingam, N. Documents Indexed: 112 Publications since 2000, including 1 Book and 11 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 3 Reviews Biographic References: 1 Publication Co-Authors: 68 Co-Authors with 100 Joint Publications 1,284 Co-Co-Authors all top 5 Co-Authors 13 single-authored 17 Björn, Jana 17 Korte, Riikka 15 Björn, Anders 10 Koskela, Pekka 9 Lahti, Panu 8 Kinnunen, Juha 7 Durand-Cartagena, Estibalitz 6 Gibara, Ryan 5 Alonso-Ruiz, Patricia 5 Baudoin, Fabrice 5 Chen, Li 5 Eriksson-Bique, Sylvester 5 Rogers, Luke G. 5 Teplyaev, Alexander 5 Tuominen, Heli 5 Tyson, Jeremy T. 4 Aikawa, Hiroaki 4 Jaramillo, Jesús Angel 4 Malý, Lukáš 4 Marola, Niko 3 Adamowicz, Tomasz 3 Lindquist, Jeff 3 Miranda, Michele jun. 3 Zhou, Yuan 2 Capogna, Luca 2 Gill, James T. 2 Hakkarainen, Heikki 2 Heinonen, Juha 2 Holopainen, Ilkka 2 Kilpeläinen, Tero 2 Kline, Josh 2 Lehrbäck, Juha 2 Li, Xining 2 Liu, Qing 2 Snipes, Marie A. 2 Speight, Gareth 2 Xie, Xiangdong 2 Yang, Dachun 2 Yuan, Wen 2 Zhong, Xiao 2 Zhou, Xiaodan 1 Albin, Nathan 1 Bonk, Mario 1 Butaev, Almaz 1 Caamaño, Iván 1 Estep, Dewey 1 Giovannardi, Gianmarco 1 Gogatishvili, Amiran 1 Hajł, Asz Piotr 1 Herron, David A. 1 Hoppis, Jared 1 Järvenpää, Esa 1 Järvenpää, Maarit 1 Jiang, Renjin 1 Jones, Rebekah 1 Juutinen, Petri 1 Kallunki, Sari 1 Kline, Joshua 1 Lorent, Andrew 1 Luo, Liangbing 1 MacManus, Paul 1 Minda, David 1 Poggi-Corradini, Pietro 1 Ponnusamy, Saminathan 1 Rajala, Kai 1 Rogovin, Kevin 1 Rogovin, Sari 1 Williams, Alex all top 5 Serials 6 Journal of Differential Equations 5 Journal of Functional Analysis 5 The Journal of Geometric Analysis 5 Potential Analysis 4 Indiana University Mathematics Journal 4 Mathematische Zeitschrift 4 Revista Matemática Iberoamericana 4 Calculus of Variations and Partial Differential Equations 4 Annales Academiae Scientiarum Fennicae. Mathematica 3 Journal of Mathematical Analysis and Applications 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 The Journal of Analysis 3 Analysis and Geometry in Metric Spaces 2 Journal d’Analyse Mathématique 2 Arkiv för Matematik 2 Collectanea Mathematica 2 Illinois Journal of Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Nachrichten 2 Michigan Mathematical Journal 2 Transactions of the American Mathematical Society 2 Advances in Calculus of Variations 2 Annales Fennici Mathematici 1 Archive for Rational Mechanics and Analysis 1 Houston Journal of Mathematics 1 Advances in Mathematics 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Publicacions Matemàtiques 1 Notices of the American Mathematical Society 1 Mathematical Research Letters 1 Positivity 1 Revista Matemática Complutense 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Proceedings of the Steklov Institute of Mathematics 1 New Mathematical Monographs 1 Complex Analysis and its Synergies 1 Pure and Applied Functional Analysis all top 5 Fields 62 Potential theory (31-XX) 60 Functions of a complex variable (30-XX) 43 Functional analysis (46-XX) 20 Real functions (26-XX) 17 Measure and integration (28-XX) 14 Partial differential equations (35-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 8 Differential geometry (53-XX) 7 General topology (54-XX) 4 Probability theory and stochastic processes (60-XX) 3 Abstract harmonic analysis (43-XX) 3 Geometry (51-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 2,238 times in 927 Documents Cited by ▼ Year ▼ Newtonian spaces: An extension of Sobolev spaces to metric measure spaces. Zbl 0974.46038 Shanmugalingam, Nageswari 384 2000 Sobolev spaces on metric measure spaces. An approach based on upper gradients. Zbl 1332.46001 Heinonen, Juha; Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T. 296 2015 Harmonic functions on metric spaces. Zbl 0989.31003 Shanmugalingam, Nageswari 124 2001 Regularity of quasi-minimizers on metric spaces. Zbl 1006.49027 Kinnunen, Juha; Shanmugalingam, Nageswari 123 2001 Sobolev classes of Banach space-valued functions and quasiconformal mappings. Zbl 1013.46023 Heinonen, Juha; Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T. 93 2001 Quasicontinuity of Newton–Sobolev functions and density of Lipschitz functions on metric spaces. Zbl 1170.46032 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 61 2008 The Dirichlet problem for \(p\)-harmonic functions on metric spaces. Zbl 1018.31004 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 53 2003 Fat sets and pointwise boundary estimates for \(p\)-harmonic functions in metric spaces. Zbl 1003.31004 Björn, Jana; MacManus, Paul; Shanmugalingam, Nageswari 49 2001 Boundary Harnack principle for \(p\)-harmonic functions in smooth Euclidean domains. Zbl 1121.35060 Aikawa, Hiroaki; Kilpeläinen, Tero; Shanmugalingam, Nageswari; Zhong, Xiao 48 2007 Lebesgue points and capacities via boxing inequality in metric spaces. Zbl 1146.46018 Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli 47 2008 Interpolation properties of Besov spaces defined on metric spaces. Zbl 1195.46033 Gogatishvili, Amiran; Koskela, Pekka; Shanmugalingam, Nageswari 42 2010 Poincaré inequalities, uniform domains and extension properties for Newton-Sobolev functions in metric spaces. Zbl 1132.46021 Björn, Jana; Shanmugalingam, Nageswari 41 2007 The Perron method for \(p\)-harmonic functions in metric spaces. Zbl 1039.35033 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 38 2003 Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces. Zbl 1027.31006 Koskela, Pekka; Rajala, Kai; Shanmugalingam, Nageswari 35 2003 Modulus and continuous capacity. Zbl 1002.31004 Kallunki, Sari; Shanmugalingam, Nageswari 31 2001 Non-conformal Loewner type estimates for modulus of curve families. Zbl 1210.30020 Adamowicz, Tomasz; Shanmugalingam, Nageswari 30 2010 Pointwise properties of functions of bounded variation in metric spaces. Zbl 1295.26012 Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli 29 2014 A characterization of Newtonian functions with zero boundary values. Zbl 1238.31008 Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli 26 2012 Some convergence results for \(p\)-harmonic functions on metric measure spaces. Zbl 1034.31006 Shanmugalingam, Nageswari 26 2003 Trace theorems for functions of bounded variation in metric spaces. Zbl 1392.26016 Lahti, P.; Shanmugalingam, N. 22 2018 Prime ends for domains in metric spaces. Zbl 1297.30056 Adamowicz, Tomasz; Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 22 2013 Stability and continuity of functions of least gradient. Zbl 1318.26028 Hakkarainen, H.; Korte, R.; Lahti, P.; Shanmugalingam, N. 21 2015 Regularity of sets with quasiminimal boundary surfaces in metric spaces. Zbl 1311.49116 Kinnunen, Juha; Korte, Riikka; Lorent, Andrew; Shanmugalingam, Nageswari 21 2013 Singular functions on metric measure spaces. Zbl 1039.31016 Holopainen, Ilkka; Shanmugalingam, Nageswari 20 2002 Measurability of equivalence classes and MEC\(_p\)-property. Zbl 1146.28001 Järvenpää, Esa; Järvenpää, Maarit; Rogovin, Kevin; Rogovin, Sari; Shanmugalingam, Nageswari 19 2007 Carleson type estimates for \(p\)-harmonic functions and the conformal Martin boundary of John domains in metric measure spaces. Zbl 1076.31006 Aikawa, Hiroaki; Shanmugalingam, Nageswari 19 2005 Characterizations of sets of finite perimeter using heat kernels in metric spaces. Zbl 1353.30054 Marola, Niko; Miranda, Michele jun.; Shanmugalingam, Nageswari 19 2016 Geometric analysis on Cantor sets and trees. Zbl 1376.46025 Björn, Anders; Björn, Jana; Gill, James T.; Shanmugalingam, Nageswari 19 2017 The Dirichlet problem for \(p\)-harmonic functions with respect to the Mazurkiewicz boundary, and new capacities. Zbl 1341.31009 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 18 2015 Uniformity from Gromov hyperbolicity. Zbl 1189.30055 Herron, David; Shanmugalingam, Nageswari; Xie, Xiangdong 17 2008 Trace and extension theorems for functions of bounded variation. Zbl 1406.46025 Malý, Lukáš; Shanmugalingam, Nageswari; Snipes, Marie 17 2018 Dirichlet forms, Poincaré inequalities, and the Sobolev spaces of Korevaar and Schoen. Zbl 1088.31005 Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T. 17 2004 Fine properties and a notion of quasicontinuity for BV functions on metric spaces. Zbl 1359.30055 Lahti, Panu; Shanmugalingam, Nageswari 17 2017 Besov class via heat semigroup on Dirichlet spaces. I: Sobolev type inequalities. Zbl 1504.47069 Ruiz, Patricia Alonso; Baudoin, Fabrice; Chen, Li; Rogers, Luke G.; Shanmugalingam, Nageswari; Teplyaev, Alexander 16 2020 Polar sets on metric spaces. Zbl 1078.31008 Kinnunen, Juha; Shanmugalingam, Nageswari 15 2006 Comparisons of relative BV-capacities and Sobolev capacity in metric spaces. Zbl 1248.28002 Hakkarainen, Heikki; Shanmugalingam, Nageswari 15 2011 Notions of Dirichlet problem for functions of least gradient in metric measure spaces. Zbl 1434.31008 Korte, Riikka; Lahti, Panu; Li, Xining; Shanmugalingam, Nageswari 14 2019 Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property. Zbl 1278.30026 Korte, Riikka; Marola, Niko; Shanmugalingam, Nageswari 14 2012 Besov class via heat semigroup on Dirichlet spaces. II: BV functions and Gaussian heat kernel estimates. Zbl 1441.31007 Alonso-Ruiz, Patricia; Baudoin, Fabrice; Chen, Li; Rogers, Luke; Shanmugalingam, Nageswari; Teplyaev, Alexander 14 2020 Removable sets for the Poincaré inequality on metric spaces. Zbl 0958.30008 Koskela, P.; Shanmugalingam, N.; Tuominen, H. 13 2000 Sobolev extensions of Hölder continuous and characteristic functions on metric spaces. Zbl 1137.46018 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 12 2007 Geometry of prime end boundary and the Dirichlet problem for bounded domains in metric measure spaces. Zbl 1307.30098 Estep, Dewey; Shanmugalingam, Nageswari 12 2015 Preservation of bounded geometry under sphericalization and flattening. Zbl 1328.30019 Li, Xining; Shanmugalingam, Nageswari 12 2015 Semmes family of curves and a characterization of functions of bounded variation in terms of curves. Zbl 1327.31026 Korte, Riikka; Lahti, Panu; Shanmugalingam, Nageswari 11 2015 A rigidity property of some negatively curved solvable Lie groups. Zbl 1255.22005 Shanmugalingam, Nageswari; Xie, Xiangdong 11 2012 Equivalence and self-improvement of \(p\)-fatness and Hardy’s inequality, and association with uniform perfectness. Zbl 1189.31006 Korte, Riikka; Shanmugalingam, Nageswari 10 2010 Equivalence of AMLE, strong AMLE, and comparison with cones in metric measure spaces. Zbl 1101.31008 Juutinen, Petri; Shanmugalingam, Nageswari 10 2006 Geometry and analysis of Dirichlet forms. II. Zbl 1297.53033 Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan 10 2014 Intrinsic geometry and analysis of diffusion processes and \(L^{\infty}\)-variational problems. Zbl 1302.60113 Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan 10 2014 The Mazurkiewicz distance and sets that are finitely connected at the boundary. Zbl 1342.30054 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 10 2016 Extension and trace results for doubling metric measure spaces and their hyperbolic fillings. Zbl 1486.31022 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 10 2022 Geometric properties of planar \(BV\)-extension domains. Zbl 1196.46025 Koskela, Pekka; Miranda, Michele; Shanmugalingam, Nageswari 9 2010 Hajłasz gradients are upper gradients. Zbl 1326.46035 Jiang, Renjin; Shanmugalingam, Nageswari; Yang, Dachun; Yuan, Wen 9 2015 Boundary measures, generalized Gauss-Green formulas, and mean value property in metric measure spaces. Zbl 1333.30071 Marola, Niko; Miranda, Michele jun.; Shanmugalingam, Nageswari 9 2015 The De Giorgi measure and an obstacle problem related to minimal surfaces in metric spaces. Zbl 1211.49055 Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli 9 2010 Bounded geometry and \(p\)-harmonic functions under uniformization and hyperbolization. Zbl 1466.53048 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 9 2021 Besov class via heat semigroup on Dirichlet spaces. III: BV functions and sub-Gaussian heat kernel estimates. Zbl 1477.31042 Alonso-Ruiz, Patricia; Baudoin, Fabrice; Chen, Li; Rogers, Luke; Shanmugalingam, Nageswari; Teplyaev, Alexander 9 2021 The \(\infty \)-Poincaré inequality on metric measure spaces. Zbl 1275.46018 Durand-Cartagena, Estibalitz; Jaramillo, Jesús; Shanmugalingam, Nageswari 9 2012 Locally \(p\)-admissible measures on \(\mathbf{R}\). Zbl 1431.26012 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 7 2020 \(p\)-Poincaré inequality versus \(\infty \)-Poincaré inequality: some counterexamples. Zbl 1255.46015 Durand-Cartagena, Estibalitz; Shanmugalingam, Nageswari; Williams, Alex 6 2012 Geometric characterizations of \(p\)-Poincaré inequalities in the metric setting. Zbl 1334.31007 Durand-Cartagena, Estibalitz; Jaramillo, Jesus A.; Shanmugalingam, Nageswari 6 2016 Newton-Besov spaces and Newton-Triebel-Lizorkin spaces on metric measure spaces. Zbl 1318.42030 Shanmugalingam, Nageswari; Yang, Dachun; Yuan, Wen 6 2015 The Liouville theorem for \(p\)-harmonic functions and quasiminimizers with finite energy. Zbl 1456.35055 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 6 2021 Neumann problem for \(p\)-Laplace equation in metric spaces using a variational approach: existence, boundedness, and boundary regularity. Zbl 1392.31014 Malý, Lukáš; Shanmugalingam, Nageswari 5 2018 Regularity of solutions to the fractional Cheeger-Laplacian on domains in metric spaces of bounded geometry. Zbl 1477.30056 Eriksson-Bique, Sylvester; Giovannardi, Gianmarco; Korte, Riikka; Shanmugalingam, Nageswari; Speight, Gareth 5 2022 Domains in metric measure spaces with boundary of positive mean curvature, and the Dirichlet problem for functions of least gradient. Zbl 1427.31008 Lahti, Panu; Malý, Lukáš; Shanmugalingam, Nageswari; Speight, Gareth 5 2019 \(L^\infty\)-variational problem associated to Dirichlet forms. Zbl 1280.49028 Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan 5 2012 A problem of Baernstein on the equality of the \(p\)-harmonic measure of a set and its closure. Zbl 1084.31008 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 4 2006 On the conformal Martin boundary of domains in metric spaces. Zbl 1002.31006 Holopainen, Ilkka; Shanmugalingam, Nageswari; Tyson, Jeremy T. 4 2001 Equivalence of solutions of eikonal equation in metric spaces. Zbl 1454.35051 Liu, Qing; Shanmugalingam, Nageswari; Zhou, Xiaodan 4 2021 First order Poincaré inequalities in metric measure spaces. Zbl 1278.31012 Durand-Cartagena, Estibalitz; Jaramillo, Jesús A.; Shanmugalingam, Nageswari 4 2013 A universality property of Sobolev spaces in metric measure spaces. Zbl 1168.46306 Shanmugalingam, Nageswari 3 2009 A characterization of BMO self-maps of a metric measure space. Zbl 1326.30050 Kinnunen, Juha; Korte, Riikka; Marola, Niko; Shanmugalingam, Nageswari 3 2015 The prime end capacity of inaccessible prime ends, resolutivity, and the Kellogg property. Zbl 1429.31009 Adamowicz, Tomasz; Shanmugalingam, Nageswari 3 2019 Carathéodory-type extension theorem with respect to prime end boundaries. Zbl 1462.30117 Kline, Joshua; Lindquist, Jeff; Shanmugalingam, Nageswari 3 2021 Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a 1-Poincaré inequality. Zbl 1480.26004 Durand-Cartagena, Estibalitz; Eriksson-Bique, Sylvester; Korte, Riikka; Shanmugalingam, Nageswari 3 2021 Traces and extensions of certain weighted Sobolev spaces on \(\mathbb{R}^n\) and Besov functions on Ahlfors regular compact subsets of \(\mathbb{R}^n\). Zbl 1480.46042 Lindquist, Jeff; Shanmugalingam, Nageswari 3 2021 Asymptotic behavior of \(BV\) functions and sets of finite perimeter in metric measure spaces. Zbl 1476.30186 Eriksson-Bique, Sylvester; Gill, James T.; Lahti, Panu; Shanmugalingam, Nageswari 3 2021 Sobolev type spaces on metric measure spaces. Zbl 1120.31004 Shanmugalingam, Nageswari 2 2006 An analog of the Neumann problem for the 1-Laplace equation in the metric setting: existence, boundary regularity, and stability. Zbl 1391.30068 Lahti, Panu; Malý, Lukáš; Shanmugalingam, Nageswari 2 2018 Hölder estimates of \(p\)-harmonic extension operators. Zbl 1131.35027 Aikawa, Hiroaki; Shanmugalingam, Nageswari 2 2006 Quasiadditivity of variational capacity. Zbl 1293.31008 Lehrbäck, Juha; Shanmugalingam, Nageswari 2 2014 An elementary proof of Cheeger’s theorem on reflexivity of Newton-Sobolev spaces of functions in metric measure spaces. Zbl 1345.31021 Durand-Cartagena, Estibalitz; Shanmugalingam, Nageswari 2 2013 \(p\)-hyperbolicity of ends and families of paths in metric spaces. Zbl 1462.30123 Shanmugalingam, Nageswari 2 2021 Infinity modulus and the essential metric. Zbl 1401.30065 Albin, Nathan; Hoppis, Jared; Poggi-Corradini, Pietro; Shanmugalingam, Nageswari 2 2018 Existence and uniqueness of \(\infty \)-harmonic functions under assumption of \(\infty \)-Poincaré inequality. Zbl 1420.31003 Durand-Cartagena, Estibalitz; Jaramillo, Jesús A.; Shanmugalingam, Nageswari 2 2019 Special issue: Proceedings of the ICM2010 satellite conference and international workshop on harmonic mappings and quasiconformal mappings, HQM 2010, Madras, India, August 9–17, 2010. Zbl 1229.30003 1 2010 Singular behavior of conformal Martin kernels and non-tangential limits of conformal mappings. Zbl 1050.31008 Shanmugalingam, Nageswari 1 2004 Maximal regularity via reverse Hölder inequalities for elliptic systems of \(n\)-Laplace type involving measures. Zbl 1158.35355 Kilpeläinen, Tero; Shanmugalingam, Nageswari; Zhong, Xiao 1 2008 Classification of metric measure spaces and their ends using \(p\)-harmonic functions. Zbl 1503.31021 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 1 2022 Modulus of families of sets of finte perimeter and quasiconformal maps between metric spaces of globally Q-bounded geometry. Zbl 1439.30089 Jones, Rebekah; Lahti, Panu; Shanmugalingam, Nageswari 1 2020 Rough isometry between Gromov hyperbolic spaces and uniformization. Zbl 1477.53074 Lindquist, Jeff; Shanmugalingam, Nageswari 1 2021 Dichotomy of global capacity density in metric measure spaces. Zbl 1400.49004 Aikawa, Hiroaki; Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 1 2018 Analysis in metric spaces. Zbl 1454.30010 Bonk, Mario; Capogna, Luca; Hajł, Asz Piotr; Shanmugalingam, Nageswari; Tyson, Jeremy 1 2020 Extension and trace results for doubling metric measure spaces and their hyperbolic fillings. Zbl 1486.31022 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 10 2022 Regularity of solutions to the fractional Cheeger-Laplacian on domains in metric spaces of bounded geometry. Zbl 1477.30056 Eriksson-Bique, Sylvester; Giovannardi, Gianmarco; Korte, Riikka; Shanmugalingam, Nageswari; Speight, Gareth 5 2022 Classification of metric measure spaces and their ends using \(p\)-harmonic functions. Zbl 1503.31021 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 1 2022 Bounded geometry and \(p\)-harmonic functions under uniformization and hyperbolization. Zbl 1466.53048 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 9 2021 Besov class via heat semigroup on Dirichlet spaces. III: BV functions and sub-Gaussian heat kernel estimates. Zbl 1477.31042 Alonso-Ruiz, Patricia; Baudoin, Fabrice; Chen, Li; Rogers, Luke; Shanmugalingam, Nageswari; Teplyaev, Alexander 9 2021 The Liouville theorem for \(p\)-harmonic functions and quasiminimizers with finite energy. Zbl 1456.35055 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 6 2021 Equivalence of solutions of eikonal equation in metric spaces. Zbl 1454.35051 Liu, Qing; Shanmugalingam, Nageswari; Zhou, Xiaodan 4 2021 Carathéodory-type extension theorem with respect to prime end boundaries. Zbl 1462.30117 Kline, Joshua; Lindquist, Jeff; Shanmugalingam, Nageswari 3 2021 Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a 1-Poincaré inequality. Zbl 1480.26004 Durand-Cartagena, Estibalitz; Eriksson-Bique, Sylvester; Korte, Riikka; Shanmugalingam, Nageswari 3 2021 Traces and extensions of certain weighted Sobolev spaces on \(\mathbb{R}^n\) and Besov functions on Ahlfors regular compact subsets of \(\mathbb{R}^n\). Zbl 1480.46042 Lindquist, Jeff; Shanmugalingam, Nageswari 3 2021 Asymptotic behavior of \(BV\) functions and sets of finite perimeter in metric measure spaces. Zbl 1476.30186 Eriksson-Bique, Sylvester; Gill, James T.; Lahti, Panu; Shanmugalingam, Nageswari 3 2021 \(p\)-hyperbolicity of ends and families of paths in metric spaces. Zbl 1462.30123 Shanmugalingam, Nageswari 2 2021 Rough isometry between Gromov hyperbolic spaces and uniformization. Zbl 1477.53074 Lindquist, Jeff; Shanmugalingam, Nageswari 1 2021 Besov class via heat semigroup on Dirichlet spaces. I: Sobolev type inequalities. Zbl 1504.47069 Ruiz, Patricia Alonso; Baudoin, Fabrice; Chen, Li; Rogers, Luke G.; Shanmugalingam, Nageswari; Teplyaev, Alexander 16 2020 Besov class via heat semigroup on Dirichlet spaces. II: BV functions and Gaussian heat kernel estimates. Zbl 1441.31007 Alonso-Ruiz, Patricia; Baudoin, Fabrice; Chen, Li; Rogers, Luke; Shanmugalingam, Nageswari; Teplyaev, Alexander 14 2020 Locally \(p\)-admissible measures on \(\mathbf{R}\). Zbl 1431.26012 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 7 2020 Modulus of families of sets of finte perimeter and quasiconformal maps between metric spaces of globally Q-bounded geometry. Zbl 1439.30089 Jones, Rebekah; Lahti, Panu; Shanmugalingam, Nageswari 1 2020 Analysis in metric spaces. Zbl 1454.30010 Bonk, Mario; Capogna, Luca; Hajł, Asz Piotr; Shanmugalingam, Nageswari; Tyson, Jeremy 1 2020 Notions of Dirichlet problem for functions of least gradient in metric measure spaces. Zbl 1434.31008 Korte, Riikka; Lahti, Panu; Li, Xining; Shanmugalingam, Nageswari 14 2019 Domains in metric measure spaces with boundary of positive mean curvature, and the Dirichlet problem for functions of least gradient. Zbl 1427.31008 Lahti, Panu; Malý, Lukáš; Shanmugalingam, Nageswari; Speight, Gareth 5 2019 The prime end capacity of inaccessible prime ends, resolutivity, and the Kellogg property. Zbl 1429.31009 Adamowicz, Tomasz; Shanmugalingam, Nageswari 3 2019 Existence and uniqueness of \(\infty \)-harmonic functions under assumption of \(\infty \)-Poincaré inequality. Zbl 1420.31003 Durand-Cartagena, Estibalitz; Jaramillo, Jesús A.; Shanmugalingam, Nageswari 2 2019 Trace theorems for functions of bounded variation in metric spaces. Zbl 1392.26016 Lahti, P.; Shanmugalingam, N. 22 2018 Trace and extension theorems for functions of bounded variation. Zbl 1406.46025 Malý, Lukáš; Shanmugalingam, Nageswari; Snipes, Marie 17 2018 Neumann problem for \(p\)-Laplace equation in metric spaces using a variational approach: existence, boundedness, and boundary regularity. Zbl 1392.31014 Malý, Lukáš; Shanmugalingam, Nageswari 5 2018 An analog of the Neumann problem for the 1-Laplace equation in the metric setting: existence, boundary regularity, and stability. Zbl 1391.30068 Lahti, Panu; Malý, Lukáš; Shanmugalingam, Nageswari 2 2018 Infinity modulus and the essential metric. Zbl 1401.30065 Albin, Nathan; Hoppis, Jared; Poggi-Corradini, Pietro; Shanmugalingam, Nageswari 2 2018 Dichotomy of global capacity density in metric measure spaces. Zbl 1400.49004 Aikawa, Hiroaki; Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 1 2018 Geometric analysis on Cantor sets and trees. Zbl 1376.46025 Björn, Anders; Björn, Jana; Gill, James T.; Shanmugalingam, Nageswari 19 2017 Fine properties and a notion of quasicontinuity for BV functions on metric spaces. Zbl 1359.30055 Lahti, Panu; Shanmugalingam, Nageswari 17 2017 Characterizations of sets of finite perimeter using heat kernels in metric spaces. Zbl 1353.30054 Marola, Niko; Miranda, Michele jun.; Shanmugalingam, Nageswari 19 2016 The Mazurkiewicz distance and sets that are finitely connected at the boundary. Zbl 1342.30054 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 10 2016 Geometric characterizations of \(p\)-Poincaré inequalities in the metric setting. Zbl 1334.31007 Durand-Cartagena, Estibalitz; Jaramillo, Jesus A.; Shanmugalingam, Nageswari 6 2016 Sobolev spaces on metric measure spaces. An approach based on upper gradients. Zbl 1332.46001 Heinonen, Juha; Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T. 296 2015 Stability and continuity of functions of least gradient. Zbl 1318.26028 Hakkarainen, H.; Korte, R.; Lahti, P.; Shanmugalingam, N. 21 2015 The Dirichlet problem for \(p\)-harmonic functions with respect to the Mazurkiewicz boundary, and new capacities. Zbl 1341.31009 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 18 2015 Geometry of prime end boundary and the Dirichlet problem for bounded domains in metric measure spaces. Zbl 1307.30098 Estep, Dewey; Shanmugalingam, Nageswari 12 2015 Preservation of bounded geometry under sphericalization and flattening. Zbl 1328.30019 Li, Xining; Shanmugalingam, Nageswari 12 2015 Semmes family of curves and a characterization of functions of bounded variation in terms of curves. Zbl 1327.31026 Korte, Riikka; Lahti, Panu; Shanmugalingam, Nageswari 11 2015 Hajłasz gradients are upper gradients. Zbl 1326.46035 Jiang, Renjin; Shanmugalingam, Nageswari; Yang, Dachun; Yuan, Wen 9 2015 Boundary measures, generalized Gauss-Green formulas, and mean value property in metric measure spaces. Zbl 1333.30071 Marola, Niko; Miranda, Michele jun.; Shanmugalingam, Nageswari 9 2015 Newton-Besov spaces and Newton-Triebel-Lizorkin spaces on metric measure spaces. Zbl 1318.42030 Shanmugalingam, Nageswari; Yang, Dachun; Yuan, Wen 6 2015 A characterization of BMO self-maps of a metric measure space. Zbl 1326.30050 Kinnunen, Juha; Korte, Riikka; Marola, Niko; Shanmugalingam, Nageswari 3 2015 Pointwise properties of functions of bounded variation in metric spaces. Zbl 1295.26012 Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli 29 2014 Geometry and analysis of Dirichlet forms. II. Zbl 1297.53033 Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan 10 2014 Intrinsic geometry and analysis of diffusion processes and \(L^{\infty}\)-variational problems. Zbl 1302.60113 Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan 10 2014 Quasiadditivity of variational capacity. Zbl 1293.31008 Lehrbäck, Juha; Shanmugalingam, Nageswari 2 2014 Prime ends for domains in metric spaces. Zbl 1297.30056 Adamowicz, Tomasz; Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 22 2013 Regularity of sets with quasiminimal boundary surfaces in metric spaces. Zbl 1311.49116 Kinnunen, Juha; Korte, Riikka; Lorent, Andrew; Shanmugalingam, Nageswari 21 2013 First order Poincaré inequalities in metric measure spaces. Zbl 1278.31012 Durand-Cartagena, Estibalitz; Jaramillo, Jesús A.; Shanmugalingam, Nageswari 4 2013 An elementary proof of Cheeger’s theorem on reflexivity of Newton-Sobolev spaces of functions in metric measure spaces. Zbl 1345.31021 Durand-Cartagena, Estibalitz; Shanmugalingam, Nageswari 2 2013 A characterization of Newtonian functions with zero boundary values. Zbl 1238.31008 Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli 26 2012 Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property. Zbl 1278.30026 Korte, Riikka; Marola, Niko; Shanmugalingam, Nageswari 14 2012 A rigidity property of some negatively curved solvable Lie groups. Zbl 1255.22005 Shanmugalingam, Nageswari; Xie, Xiangdong 11 2012 The \(\infty \)-Poincaré inequality on metric measure spaces. Zbl 1275.46018 Durand-Cartagena, Estibalitz; Jaramillo, Jesús; Shanmugalingam, Nageswari 9 2012 \(p\)-Poincaré inequality versus \(\infty \)-Poincaré inequality: some counterexamples. Zbl 1255.46015 Durand-Cartagena, Estibalitz; Shanmugalingam, Nageswari; Williams, Alex 6 2012 \(L^\infty\)-variational problem associated to Dirichlet forms. Zbl 1280.49028 Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan 5 2012 Comparisons of relative BV-capacities and Sobolev capacity in metric spaces. Zbl 1248.28002 Hakkarainen, Heikki; Shanmugalingam, Nageswari 15 2011 Interpolation properties of Besov spaces defined on metric spaces. Zbl 1195.46033 Gogatishvili, Amiran; Koskela, Pekka; Shanmugalingam, Nageswari 42 2010 Non-conformal Loewner type estimates for modulus of curve families. Zbl 1210.30020 Adamowicz, Tomasz; Shanmugalingam, Nageswari 30 2010 Equivalence and self-improvement of \(p\)-fatness and Hardy’s inequality, and association with uniform perfectness. Zbl 1189.31006 Korte, Riikka; Shanmugalingam, Nageswari 10 2010 Geometric properties of planar \(BV\)-extension domains. Zbl 1196.46025 Koskela, Pekka; Miranda, Michele; Shanmugalingam, Nageswari 9 2010 The De Giorgi measure and an obstacle problem related to minimal surfaces in metric spaces. Zbl 1211.49055 Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli 9 2010 Special issue: Proceedings of the ICM2010 satellite conference and international workshop on harmonic mappings and quasiconformal mappings, HQM 2010, Madras, India, August 9–17, 2010. Zbl 1229.30003 1 2010 A universality property of Sobolev spaces in metric measure spaces. Zbl 1168.46306 Shanmugalingam, Nageswari 3 2009 Quasicontinuity of Newton–Sobolev functions and density of Lipschitz functions on metric spaces. Zbl 1170.46032 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 61 2008 Lebesgue points and capacities via boxing inequality in metric spaces. Zbl 1146.46018 Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli 47 2008 Uniformity from Gromov hyperbolicity. Zbl 1189.30055 Herron, David; Shanmugalingam, Nageswari; Xie, Xiangdong 17 2008 Maximal regularity via reverse Hölder inequalities for elliptic systems of \(n\)-Laplace type involving measures. Zbl 1158.35355 Kilpeläinen, Tero; Shanmugalingam, Nageswari; Zhong, Xiao 1 2008 Boundary Harnack principle for \(p\)-harmonic functions in smooth Euclidean domains. Zbl 1121.35060 Aikawa, Hiroaki; Kilpeläinen, Tero; Shanmugalingam, Nageswari; Zhong, Xiao 48 2007 Poincaré inequalities, uniform domains and extension properties for Newton-Sobolev functions in metric spaces. Zbl 1132.46021 Björn, Jana; Shanmugalingam, Nageswari 41 2007 Measurability of equivalence classes and MEC\(_p\)-property. Zbl 1146.28001 Järvenpää, Esa; Järvenpää, Maarit; Rogovin, Kevin; Rogovin, Sari; Shanmugalingam, Nageswari 19 2007 Sobolev extensions of Hölder continuous and characteristic functions on metric spaces. Zbl 1137.46018 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 12 2007 Polar sets on metric spaces. Zbl 1078.31008 Kinnunen, Juha; Shanmugalingam, Nageswari 15 2006 Equivalence of AMLE, strong AMLE, and comparison with cones in metric measure spaces. Zbl 1101.31008 Juutinen, Petri; Shanmugalingam, Nageswari 10 2006 A problem of Baernstein on the equality of the \(p\)-harmonic measure of a set and its closure. Zbl 1084.31008 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 4 2006 Sobolev type spaces on metric measure spaces. Zbl 1120.31004 Shanmugalingam, Nageswari 2 2006 Hölder estimates of \(p\)-harmonic extension operators. Zbl 1131.35027 Aikawa, Hiroaki; Shanmugalingam, Nageswari 2 2006 Carleson type estimates for \(p\)-harmonic functions and the conformal Martin boundary of John domains in metric measure spaces. Zbl 1076.31006 Aikawa, Hiroaki; Shanmugalingam, Nageswari 19 2005 Dirichlet forms, Poincaré inequalities, and the Sobolev spaces of Korevaar and Schoen. Zbl 1088.31005 Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T. 17 2004 Singular behavior of conformal Martin kernels and non-tangential limits of conformal mappings. Zbl 1050.31008 Shanmugalingam, Nageswari 1 2004 The Dirichlet problem for \(p\)-harmonic functions on metric spaces. Zbl 1018.31004 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 53 2003 The Perron method for \(p\)-harmonic functions in metric spaces. Zbl 1039.35033 Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 38 2003 Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces. Zbl 1027.31006 Koskela, Pekka; Rajala, Kai; Shanmugalingam, Nageswari 35 2003 Some convergence results for \(p\)-harmonic functions on metric measure spaces. Zbl 1034.31006 Shanmugalingam, Nageswari 26 2003 Singular functions on metric measure spaces. Zbl 1039.31016 Holopainen, Ilkka; Shanmugalingam, Nageswari 20 2002 Harmonic functions on metric spaces. Zbl 0989.31003 Shanmugalingam, Nageswari 124 2001 Regularity of quasi-minimizers on metric spaces. Zbl 1006.49027 Kinnunen, Juha; Shanmugalingam, Nageswari 123 2001 Sobolev classes of Banach space-valued functions and quasiconformal mappings. Zbl 1013.46023 Heinonen, Juha; Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T. 93 2001 Fat sets and pointwise boundary estimates for \(p\)-harmonic functions in metric spaces. Zbl 1003.31004 Björn, Jana; MacManus, Paul; Shanmugalingam, Nageswari 49 2001 Modulus and continuous capacity. Zbl 1002.31004 Kallunki, Sari; Shanmugalingam, Nageswari 31 2001 On the conformal Martin boundary of domains in metric spaces. Zbl 1002.31006 Holopainen, Ilkka; Shanmugalingam, Nageswari; Tyson, Jeremy T. 4 2001 Newtonian spaces: An extension of Sobolev spaces to metric measure spaces. Zbl 0974.46038 Shanmugalingam, Nageswari 384 2000 Removable sets for the Poincaré inequality on metric spaces. Zbl 0958.30008 Koskela, P.; Shanmugalingam, N.; Tuominen, H. 13 2000 all cited Publications top 5 cited Publications all top 5 Cited by 765 Authors 68 Shanmugalingam, Nageswari 47 Björn, Anders 44 Björn, Jana 38 Lahti, Panu 28 Gigli, Nicola 25 Kinnunen, Juha 25 Yang, Dachun 23 Koskela, Pekka 21 Korte, Riikka 19 Sevost’yanov, Yevgen Oleksandrovych 16 Ambrosio, Luigi 16 Pasqualetto, Enrico 16 Tuominen, Heli 16 Yuan, Wen 14 Lehrbäck, Juha 14 Zhou, Qingshan 13 Eriksson-Bique, Sylvester 13 Jiang, Renjin 13 Liu, Yu 12 Adamowicz, Tomasz 12 Górka, Przemysław 12 Marola, Niko 12 Savaré, Giuseppe 12 Soultanis, Elefterios 12 Wenger, Stefan 11 Górny, Wojciech 11 Zhou, Yuan 10 Baudoin, Fabrice 10 Hajłasz, Piotr 10 Heikkinen, Toni 10 Honda, Shouhei 10 Lytchak, Alexander 10 Martio, Olli 10 Wang, Zhuang 9 Rajala, Tapio 8 Guo, Changyu 8 Latvala, Visa 8 Vähäkangas, Antti V. 8 Xie, Xiangdong 8 Zhang, Huichun 7 Di Marino, Simone 7 Li, Xining 7 Lučić, Danka 7 Miranda, Michele jun. 7 Speight, Gareth 7 Tyson, Jeremy T. 6 Aikawa, Hiroaki 6 Alonso-Ruiz, Patricia 6 Antonelli, Gioacchino 6 Durand-Cartagena, Estibalitz 6 Heinonen, Juha 6 Huang, Manzi 6 Ikonen, Toni 6 Kuusi, Tuomo 6 Li, Yaxiang 6 Manfredi, Juan J. 6 Parviainen, Mikko 6 Pinamonti, Andrea 6 Ponnusamy, Saminathan 6 Pratelli, Aldo 6 Rajala, Kai 6 Zürcher, Thomas 5 Aldaz, Jésus Munárriz 5 Anza Hafsa, Omar 5 Brena, Camillo 5 Buffa, Vito 5 García-Bravo, Miguel 5 Gibara, Ryan 5 Hakkarainen, Heikki 5 Jaramillo, Jesús Angel 5 Lundström, Niklas L. P. 5 Malý, Lukáš 5 Mandallena, Jean-Philippe 5 Masson, Mathias 5 Nguyen, Khanh Ngoc 5 Nyström, Kaj 5 Pacchiano Camacho, Cintia 5 Teplyaev, Alexander 5 Wang, Xiantao 5 Wildrick, Kevin 4 Alvarado, Ryan 4 Balogh, Zoltán M. 4 Bogdan, Krzysztof 4 Chen, Li 4 Ciska-Niedziałomska, Małgorzata 4 Fässler, Katrin S. 4 Garofalo, Nicola 4 Gogatishvili, Amiran 4 Gol’dshtein, Vladimir Mikhailovich 4 Gong, Jasun 4 Hansevi, Daniel 4 Hirata, Kentaro 4 Huang, Jiacheng 4 Huang, Jizheng 4 Huang, Xiaojun 4 Il’yutko, Denis Petrovich 4 Karak, Nijjwal 4 Lewis, John L. 4 Li, Pengtao 4 Lindquist, Jeff ...and 665 more Authors all top 5 Cited in 181 Serials 47 Calculus of Variations and Partial Differential Equations 46 Journal of Mathematical Analysis and Applications 46 Journal of Functional Analysis 45 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 42 Potential Analysis 32 The Journal of Geometric Analysis 26 Analysis and Geometry in Metric Spaces 24 Proceedings of the American Mathematical Society 23 Mathematische Zeitschrift 21 Annales Fennici Mathematici 20 Journal d’Analyse Mathématique 18 Journal of Differential Equations 18 Transactions of the American Mathematical Society 18 Annales Academiae Scientiarum Fennicae. Mathematica 17 Mathematische Annalen 17 Revista Matemática Iberoamericana 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 Advances in Mathematics 14 Manuscripta Mathematica 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Advances in Calculus of Variations 9 Journal of Mathematical Sciences (New York) 8 Communications in Contemporary Mathematics 7 Studia Mathematica 7 Duke Mathematical Journal 7 Journal für die Reine und Angewandte Mathematik 7 Michigan Mathematical Journal 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 7 Complex Variables and Elliptic Equations 6 Archiv der Mathematik 6 Collectanea Mathematica 6 Illinois Journal of Mathematics 6 Indiana University Mathematics Journal 6 Forum Mathematicum 6 Geometric and Functional Analysis. GAFA 6 SIAM Journal on Mathematical Analysis 6 Science China. Mathematics 6 Analysis and Mathematical Physics 5 Archive for Rational Mechanics and Analysis 5 Memoirs of the American Mathematical Society 5 Bulletin des Sciences Mathématiques 5 Conformal Geometry and Dynamics 5 Geometry & Topology 5 Revista Matemática Complutense 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Analysis & PDE 4 Communications on Pure and Applied Mathematics 4 Ukrainian Mathematical Journal 4 Arkiv för Matematik 4 Inventiones Mathematicae 4 Journal of the Mathematical Society of Japan 4 Mathematische Nachrichten 4 Ricerche di Matematica 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 St. Petersburg Mathematical Journal 4 NoDEA. Nonlinear Differential Equations and Applications 4 Positivity 4 Journal of the European Mathematical Society (JEMS) 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Advanced Nonlinear Studies 3 Mathematical Notes 3 The Annals of Probability 3 Geometriae Dedicata 3 Tôhoku Mathematical Journal. Second Series 3 Annals of Global Analysis and Geometry 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Communications in Partial Differential Equations 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Expositiones Mathematicae 3 Acta Mathematica Sinica. English Series 3 Lobachevskii Journal of Mathematics 3 Journal of Fixed Point Theory and Applications 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Journal of Function Spaces 2 Analysis Mathematica 2 Israel Journal of Mathematics 2 Annales de l’Institut Fourier 2 Canadian Mathematical Bulletin 2 Czechoslovak Mathematical Journal 2 Monatshefte für Mathematik 2 Results in Mathematics 2 SIAM Journal on Control and Optimization 2 Probability Theory and Related Fields 2 Differential Geometry and its Applications 2 Sbornik: Mathematics 2 The Journal of Fourier Analysis and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of the Australian Mathematical Society 2 Computational Methods and Function Theory 2 Proceedings of the Steklov Institute of Mathematics 2 Complex Analysis and Operator Theory 2 Frontiers of Mathematics in China 2 Acta Mathematica Sinica. Chinese Series 2 Discrete and Continuous Dynamical Systems. Series S 2 Annals of Functional Analysis 2 Bulletin of Mathematical Sciences 2 Journal of Fractal Geometry 2 Complex Analysis and its Synergies 2 Journal de l’École Polytechnique – Mathématiques 1 Bulletin of the Australian Mathematical Society ...and 81 more Serials all top 5 Cited in 44 Fields 322 Functions of a complex variable (30-XX) 291 Functional analysis (46-XX) 228 Partial differential equations (35-XX) 214 Potential theory (31-XX) 167 Differential geometry (53-XX) 141 Calculus of variations and optimal control; optimization (49-XX) 119 Real functions (26-XX) 109 Measure and integration (28-XX) 80 Global analysis, analysis on manifolds (58-XX) 79 Harmonic analysis on Euclidean spaces (42-XX) 44 Operator theory (47-XX) 35 Probability theory and stochastic processes (60-XX) 30 Topological groups, Lie groups (22-XX) 30 General topology (54-XX) 26 Abstract harmonic analysis (43-XX) 19 Geometry (51-XX) 11 Combinatorics (05-XX) 10 Group theory and generalizations (20-XX) 10 Convex and discrete geometry (52-XX) 9 Several complex variables and analytic spaces (32-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Manifolds and cell complexes (57-XX) 4 Difference and functional equations (39-XX) 3 Ordinary differential equations (34-XX) 3 Integral equations (45-XX) 3 Algebraic topology (55-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Algebraic geometry (14-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year