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Shanmugalingam, Nageswari

Author ID: shanmugalingam.nageswari Recent zbMATH articles by "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

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

Publications by Year

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 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