Rajala, Tapio; Zhu, Zheng Zero volume boundary for extension domains from Sobolev to \(BV\). (English) Zbl 07932543 Rev. Mat. Complut. 37, No. 3, 819-831 (2024). MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghoshal, S. S.; Junca, S.; Parmar, A. Higher regularity for entropy solutions of conservation laws with geometrically constrained discontinuous flux. (English) Zbl 1547.35143 SIAM J. Math. Anal. 56, No. 5, 6121-6136 (2024). MSC: 35B65 35L65 35L67 35B44 35F25 26A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dumas, Annette; Santambrogio, Filippo Optimal trajectories in \(L^1\) and under \(L^1\) penalizations. (Trajectoires optimales dans \(L^1\) et sous pénalisation de type \(L^1\).) (English. French summary) Zbl 1545.91030 C. R., Math., Acad. Sci. Paris 362, 657-692 (2024). MSC: 91A16 49N80 × Cite Format Result Cite Review PDF Full Text: DOI
Baldi, Annalisa; Montefalcone, Francescopaolo A density result on a BV-type space on Carnot groups. (English) Zbl 1545.46032 “Bruno Pini” Mathematical Analysis Seminar 2023. Papers from the seminar, University of Bologna, Bologna, Italy, 2023. Bologna: Università di Bologna, Alma Mater Studiorum. 42-55 (2024). MSC: 46E36 43A15 35A23 26D15 49Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Ghoshal, Shyam Sundar; Junca, Stéphane; Parmar, Akash Fractional regularity for conservation laws with discontinuous flux. (English) Zbl 1526.35097 Nonlinear Anal., Real World Appl. 75, Article ID 103960, 28 p. (2024). MSC: 35B65 35L02 35L65 35R05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Alonso Ruiz, Patricia; Baudoin, Fabrice Yet another heat semigroup characterization of BV functions on Riemannian manifolds. (English. French summary) Zbl 1534.58014 Ann. Fac. Sci. Toulouse, Math. (6) 32, No. 3, 577-606 (2023). Reviewer: Gustavo de Paula Ramos (São Paulo) MSC: 58J35 26A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baldi, A.; Montefalcone, F. The distributional divergence of horizontal vector fields vanishing at infinity on Carnot groups. (English) Zbl 1527.35013 Matematiche 78, No. 1, 239-271 (2023). MSC: 35A23 35R03 26D15 46E36 49Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Du, Xixiang; Liu, Yu; Wang, He Subgraphs of \(\alpha\)-Hermite BV functions and the rank-one theorem for \(\mathcal{BV}_{\mathcal{H}_{\alpha}}\). (English) Zbl 07734920 Arch. Math. 121, No. 3, 287-302 (2023). MSC: 26B30 28A75 49Q20 49Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Honzlová-Exnerová, Vendula; Malý, Jan; Martio, Olli \(\mathrm{AM}\)-modulus and Hausdorff measure of codimension one in metric measure spaces. (English) Zbl 1530.28001 Math. Nachr. 295, No. 1, 140-157 (2022). Reviewer: Petr Holický (Praha) MSC: 28A75 28A78 28A12 26B30 28C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ayoush, Rami; Wojciechowski, Michał On dimension and regularity of vector-valued measures under Fourier analytic constraints. (English) Zbl 1516.42008 Ill. J. Math. 66, No. 3, 289-313 (2022). MSC: 42B10 28B05 28A78 × Cite Format Result Cite Review PDF Full Text: DOI Link
Rybka, Piotr; Sabra, Ahmad The planar least gradient problem in convex domains, the case of continuous datum. (English) Zbl 1476.49002 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112595, 27 p. (2022). MSC: 49J10 49J52 49Q10 49Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tidriri, Moulay D. Existence, global regularity and uniqueness of solutions of the Navier-Stokes equations in space dimension 3 when the initial data are regular. (English) Zbl 1513.35433 Aust. J. Math. Anal. Appl. 18, No. 2, Article No. 21, 126 p. (2021). MSC: 35Q30 76D03 76D05 49Q15 58C35 28A75 26B30 35B60 35B65 35Q35 × Cite Format Result Cite Review PDF Full Text: Link
Tolstonogov, A. A. BV solutions of a convex sweeping process with local conditions in the sense of differential measures. (English) Zbl 1484.34145 Appl. Math. Optim. 84, Suppl. 1, S591-S629 (2021). Reviewer: Marko Kostić (Novi Sad) MSC: 34G25 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
Lahti, Panu; Li, Xining; Wang, Zhuang Traces of Newtonian-Sobolev, Hajłasz-Sobolev, and BV functions on metric spaces. (English) Zbl 1489.46043 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 3, 1353-1383 (2021). Reviewer: Xiaodan Zhou (Worcester) MSC: 46E36 26B30 30L99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rybka, Piotr; Sabra, Ahmad The planar least gradient problem in convex domains: the discontinuous case. (English) Zbl 1461.49003 NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 2, Paper No. 15, 31 p. (2021). Reviewer: Savin Treanta (Bucureşti) MSC: 49J10 49J52 49Q10 49Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Tuo; Xiao, Jie A new capacity for the affine bounded variation. (English) Zbl 1470.46060 Adv. Appl. Math. 121, Article ID 102084, 27 p. (2020). Reviewer: Judit Abardia-Evéquoz (Frankfurt am Main) MSC: 46E35 52A38 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Rindler, Filip; Shaw, Giles Relaxation for partially coercive integral functionals with linear growth. (English) Zbl 1450.49006 SIAM J. Math. Anal. 52, No. 5, 4806-4860 (2020). MSC: 49J45 49Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Hafemeyer, Dominik; Mannel, Florian; Neitzel, Ira; Vexler, Boris Finite element error estimates for one-dimensional elliptic optimal control by BV-functions. (English) Zbl 1465.65137 Math. Control Relat. Fields 10, No. 2, 333-363 (2020). MSC: 65N30 65N15 49J20 49M25 49M41 26B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bruè, Elia; Nguyen, Quoc-Hung; Stefani, Giorgio A maximal function characterisation of absolutely continuous measures and Sobolev functions. (English) Zbl 1427.42022 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 3, 599-614 (2019). MSC: 42B25 46E27 26A45 34A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kreuml, Andreas; Mordhorst, Olaf Fractional Sobolev norms and BV functions on manifolds. (English) Zbl 1437.46042 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 187, 450-466 (2019). MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pinamonti, Andrea; Squassina, Marco; Vecchi, Eugenio Magnetic BV-functions and the Bourgain-Brezis-Mironescu formula. (English) Zbl 1433.46026 Adv. Calc. Var. 12, No. 3, 225-252 (2019). MSC: 46E35 26B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Conze, Jean-Pierre; Le Borgne, Stéphane On the CLT for rotations and BV functions. (Sur le TCL pour les rotations et les fonctions BV.) (English. French summary) Zbl 1480.60050 C. R., Math., Acad. Sci. Paris 357, No. 2, 212-215 (2019). MSC: 60F05 37A10 37A05 37A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco; Scianna, Giuseppe Covers, soap films and BV functions. (English) Zbl 1393.49030 Geom. Flows 3, 57-75 (2018). MSC: 49Q05 57M10 49Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Moser, Roger Structure and rigidity of functions in \(\mathrm{BV}_{\mathrm{loc}}^2(\mathbb{R}^2)\) with gradients taking only three values. (English) Zbl 1392.49043 Proc. Lond. Math. Soc. (3) 116, No. 4, 813-846 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 49Q20 46E35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Prasath, V. B. Surya; Vorotnikov, Dmitry On time adaptive critical variable exponent vectorial diffusion flows and their applications in image processing. I: Analysis. (English) Zbl 1381.26018 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 168, 176-197 (2018). MSC: 26B30 35D30 35K67 35K92 46E35 46E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio Constrained BV functions on covering spaces for minimal networks and Plateau’s type problems. (English) Zbl 1366.49044 Adv. Calc. Var. 10, No. 1, 25-47 (2017). MSC: 49Q05 49Q20 57M10 × Cite Format Result Cite Review PDF Full Text: DOI
Ambrosio, Luigi; Di Marino, Simone; Gigli, Nicola Perimeter as relaxed Minkowski content in metric measure spaces. (English) Zbl 1359.28002 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 153, 78-88 (2017). MSC: 28A75 52A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Cicco, Virginia Nonautonomous chain rules in BV with Lipschitz dependence. (English) Zbl 1358.49040 Milan J. Math. 84, No. 2, 243-267 (2016). Reviewer: Vasile Oproiu (Iaşi) MSC: 49Q15 49Q20 26B30 49J45 49M20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Garofalo, Nicola Hypoelliptic operators and some aspects of analysis and geometry of sub-Riemannian spaces. (English) Zbl 1377.53049 Barilari, Davide (ed.) et al., Geometry, analysis and dynamics on sub-Riemannian manifolds. Volume I. Lecture notes from the IHP Trimester, Institut Henri Poincaré, Paris, France and from the CIRM summer school “Sub-Riemannian manifolds: from geodesics to hypoelliptic diffusion”, Luminy, France, Fall 2014. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-162-0/pbk; 978-3-03719-662-5/ebook). EMS Series of Lectures in Mathematics, 123-257 (2016). Reviewer: Andreea Olteanu (Bucureşti) MSC: 53C17 35H10 53-02 × Cite Format Result Cite Review PDF
Brezis, Haïm; Nguyen, Hoai-Minh The BBM formula revisited. (English) Zbl 1362.46036 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 27, No. 4, 515-533 (2016). MSC: 46E35 46E30 26D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cardaliaguet, Pierre; Mészáros, Alpár R.; Santambrogio, Filippo First order mean field games with density constraints: pressure equals price. (English) Zbl 1356.35257 SIAM J. Control Optim. 54, No. 5, 2672-2709 (2016). Reviewer: Rodica Luca (Iaşi) MSC: 35Q91 35F21 49J45 49N70 76B75 76N10 90C46 91A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
De Cicco, Virginia A new nonautonomous chain rule in \(BV\). (English) Zbl 1334.49041 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 27, No. 1, 117-125 (2016). MSC: 49J45 49Q20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Telcs, András; Vespri, Vincenzo A quantitative Lusin theorem for functions in BV. (English) Zbl 1339.26022 Citti, Giovanna (ed.) et al., Geometric methods in PDE’s. Cham: Springer (ISBN 978-3-319-02665-7/hbk; 978-3-319-02666-4/ebook). Springer INdAM Series 13, 81-87 (2015). MSC: 26A45 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Trevisan, Dario Lagrangian flows driven by \(BV\) fields in Wiener spaces. (English) Zbl 1329.35109 Probab. Theory Relat. Fields 163, No. 1-2, 123-147 (2015). MSC: 35F10 60H07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goldman, M.; Royo-Letelier, J. Sharp interface limit for two components Bose-Einstein condensates. (English) Zbl 1319.35206 ESAIM, Control Optim. Calc. Var. 21, No. 3, 603-624 (2015). MSC: 35Q40 35J50 49S05 49Q20 82B24 35B40 35R09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Crasta, Graziano; De Cicco, Virginia; De Philippis, Guido Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux. (English) Zbl 1326.35197 Commun. Partial Differ. Equations 40, No. 4, 694-726 (2015). MSC: 35L65 26A45 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan BV functions in a Gelfand triple for differentiable measure and its applications. (English) Zbl 1348.60079 Forum Math. 27, No. 3, 1657-1687 (2015). MSC: 60G99 60G44 31C25 60G60 26B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Cicco, Virginia Lower semicontinuity for nonautonomous surface integrals. (English) Zbl 1311.49031 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 26, No. 1, 1-21 (2015). MSC: 49J45 49Q20 × Cite Format Result Cite Review PDF Full Text: DOI
Mengesha, Tadele; Spector, Daniel Localization of nonlocal gradients in various topologies. (English) Zbl 1334.46031 Calc. Var. Partial Differ. Equ. 52, No. 1-2, 253-279 (2015). MSC: 46E35 26B30 × Cite Format Result Cite Review PDF Full Text: DOI
Cui, Xiaoyue; Lam, Nguyen; Lu, Guozhen New characterizations of Sobolev spaces on the Heisenberg group. (English) Zbl 1316.46033 J. Funct. Anal. 267, No. 8, 2962-2994 (2014). MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Capriani, Giuseppe Maria The Steiner rearrangement in any codimension. (English) Zbl 1283.49057 Calc. Var. Partial Differ. Equ. 49, No. 1-2, 517-548 (2014). MSC: 49Q20 26B30 26D10 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Trevisan, Dario BV-regularity for the Malliavin derivative of the maximum of the Wiener process. (English) Zbl 1309.60054 Electron. Commun. Probab. 18, Paper No. 29, 9 p. (2013). MSC: 60H07 28C20 26B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Xuegang; Wu, Yong; Li, Ling Analysis of a new variational model for image multiplicative denoising. (English) Zbl 1304.49019 J. Inequal. Appl. 2013, Paper No. 568, 9 p. (2013). MSC: 49J40 94A08 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Ambrosio, Luigi; Figalli, Alessio; Runa, Eris On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces. (English) Zbl 1282.28002 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 24, No. 1, 111-122 (2013). Reviewer: Boris A. Kats (Kazan) MSC: 28A75 26B30 28C20 60H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ambrosio, Luigi; Ghiraldin, Francesco Flat chains of finite size in metric spaces. (English) Zbl 1261.49013 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 1, 79-100 (2013). MSC: 49Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Bourgain, Jean; Korobkov, Mikhail V.; Kristensen, Jan On the Morse-Sard property and level sets of Sobolev and BV functions. (English) Zbl 1273.26017 Rev. Mat. Iberoam. 29, No. 1, 1-23 (2013). Reviewer: Giorgi Oniani (Kutaisi) MSC: 26B30 46E35 58K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bonamy, C.; Le Guyader, C. Split Bregman iteration and infinity Laplacian for image decomposition. (English) Zbl 1258.65022 J. Comput. Appl. Math. 240, 99-110 (2013). MSC: 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Borgato, M. T. Giuseppe Vitali: research on real analysis and relationship with Polish and Russian mathematicians. (English) Zbl 1303.01017 Burenkov, V. I. (ed.) et al., Progress in analysis. Proceedings of the 8th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Moscow, Russia, August 22–27, 2011. Volume 3. Moscow: Peoples’ Friendship University of Russia (ISBN 978-5-209-04597-7/hbk). 253-260 (2012). Reviewer: Roman Duda (Wrocław) MSC: 01A60 26-03 28-03 × Cite Format Result Cite Review PDF
Bianchini, Stefano SBV regularity for scalar conservation laws. (English) Zbl 1302.35245 Li, Tatsien (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Vol. 1. Proceedings of the 13th international conference on hyperbolic problems, HYP 2010, Beijing, China, June 15–19, 2010. Hackensack, NJ: World Scientific; Beijing: Higher Education Press (ISBN 978-981-4417-07-5/v.1; 978-981-4417-06-8/set). Series in Contemporary Applied Mathematics CAM 17, 3-11 (2012). MSC: 35L65 35B65 × Cite Format Result Cite Review PDF
Vittone, Davide Lipschitz surfaces, perimeter and trace theorems for BV functions in Carnot-Carathéodory spaces. (English) Zbl 1270.53068 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 11, No. 4, 939-998 (2012). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Ambrosio, Luigi; Da Prato, Giuseppe; Goldys, Ben; Pallara, Diego Bounded variation with respect to a log-concave measure. (English) Zbl 1257.26009 Commun. Partial Differ. Equations 37, No. 10-12, 2272-2290 (2012). MSC: 26A45 28C20 46E35 60H07 × Cite Format Result Cite Review PDF Full Text: DOI
Röckner, Michael; Zhu, Rong-Chan; Zhu, Xiang-Chan The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triple. (English) Zbl 1267.60074 Ann. Probab. 40, No. 4, 1759-1794 (2012). Reviewer: David Nualart (Barcelona) MSC: 60H15 31C25 26A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Pratelli, M.; Trevisan, D. Functions of bounded variation on the classical Wiener space and an extended Ocone-Karatzas formula. (English) Zbl 1255.60089 Stochastic Processes Appl. 122, No. 6, 2383-2399 (2012). Reviewer: Jacques Franchi (Strasbourg) MSC: 60H07 60J65 28C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ambrosio, Luigi; Crippa, Gianluca; Figalli, Alessio; Spinolo, Laura V. Existence and uniqueness results for the continuity equation and applications to the chromatography system. (English) Zbl 1248.35119 Bressan, Alberto (ed.) et al., Nonlinear conservation laws and applications. Proceedings of the summer program, IMA, Minneapolis, MN, USA, July 13–31, 2009. New York, NY: Springer (ISBN 978-1-4419-9553-7; 978-1-4419-9554-4/ebook). The IMA Volumes in Mathematics and its Applications 153, 195-204 (2011). MSC: 35L65 35F10 × Cite Format Result Cite Review PDF Full Text: DOI
Bianchini, Stefano; Tonon, Daniela A decomposition theorem for \(BV\) functions. (English) Zbl 1229.26023 Commun. Pure Appl. Anal. 10, No. 6, 1549-1566 (2011). MSC: 26B30 26B35 28A75 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen, Hoai-Minh \(\Gamma\)-convergence, Sobolev norms, and BV functions. (English) Zbl 1221.28011 Duke Math. J. 157, No. 3, 495-533 (2011). Reviewer: Tomasz Natkaniec (Gdańsk) MSC: 28A20 26A24 26A45 × Cite Format Result Cite Review PDF Full Text: DOI Link
Camfield, Christopher S. Comparison of BV norms in weighted Euclidean spaces. (English) Zbl 1234.26026 J. Anal. 18, 83-97 (2010). MSC: 26A45 × Cite Format Result Cite Review PDF
Cheng, Jih-Hsin; Hwang, Jenn-Fang Variations of generalized area functionals and \(p\)-area minimizers of bounded variation in the Heisenberg group. (English) Zbl 1232.35178 Bull. Inst. Math., Acad. Sin. (N.S.) 5, No. 4, 369-412 (2010). Reviewer: Vitaly Vladimirovich Volchkov (Donetsk) MSC: 35R03 35L80 35J70 32V20 53A10 49Q10 × Cite Format Result Cite Review PDF Full Text: arXiv
Ambrosio, Luigi; Da Prato, Giuseppe; Pallara, Diego BV functions in a Hilbert space with respect to a Gaussian measure. (English) Zbl 1206.26014 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 21, No. 4, 405-414 (2010). MSC: 26A45 28C20 46E35 60H07 × Cite Format Result Cite Review PDF Full Text: DOI
Crippa, Gianluca; Spinolo, Laura V. An overview on some results concerning the transport equation and its applications to conservation laws. (English) Zbl 1205.35043 Commun. Pure Appl. Anal. 9, No. 5, 1283-1293 (2010). MSC: 35F10 35L65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ambrosio, Luigi; Scienza, Matteo Locality of the perimeter in Carnot groups and chain rule. (English) Zbl 1203.28001 Ann. Mat. Pura Appl. (4) 189, No. 4, 661-678 (2010). Reviewer: D. R. Bell (Jacksonville) MSC: 28A75 49Q15 58C35 × Cite Format Result Cite Review PDF Full Text: DOI
Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego BV functions in abstract Wiener spaces. (English) Zbl 1194.46066 J. Funct. Anal. 258, No. 3, 785-813 (2010). Reviewer: Stefan Balint (Timişoara) MSC: 46G12 46T20 26B30 26E15 47D07 × Cite Format Result Cite Review PDF Full Text: DOI
Chambolle, Antonin; Thouroude, Gilles Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem. (English) Zbl 1186.35013 Netw. Heterog. Media 4, No. 1, 127-152 (2009). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 74Q05 49Q20 53A10 × Cite Format Result Cite Review PDF Full Text: DOI
Angiuli, Luciana; Miranda, Michele; Pallara, Diego; Paronetto, Fabio \(BV\) functions and parabolic initial boundary value problems on domains. (English) Zbl 1177.35105 Ann. Mat. Pura Appl. (4) 188, No. 2, 297-331 (2009). Reviewer: Lubomira Softova (Aversa) MSC: 35K20 47D06 49Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Mucci, Domenico Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings. (English) Zbl 1167.49015 ESAIM, Control Optim. Calc. Var. 15, No. 2, 295-321 (2009). MSC: 49J45 49Q20 53C21 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Rondi, Luca On the regularization of the inverse conductivity problem with discontinuous conductivities. (English) Zbl 1180.35572 Inverse Probl. Imaging 2, No. 3, 397-409 (2008). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35R30 47J06 49J45 × Cite Format Result Cite Review PDF Full Text: DOI
Ambrosio, Luigi; Crippa, Gianluca; LeFloch, Philippe G. Leaf superposition property for integer rectifiable currents. (English) Zbl 1143.49032 Netw. Heterog. Media 3, No. 1, 85-95 (2008). MSC: 49Q15 26B30 30C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Amar, Micol; De Cicco, Virginia; Fusco, Nicola Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands. (English) Zbl 1149.49016 ESAIM, Control Optim. Calc. Var. 14, No. 3, 456-477 (2008). MSC: 49J45 49Q20 49M20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Amar, M.; Cicco, V. De Relaxation in BV for a class of functionals without continuity assumptions. (English) Zbl 1153.49016 NoDEA, Nonlinear Differ. Equ. Appl. 15, No. 1-2, 25-44 (2008). MSC: 49J45 49Q20 49M20 × Cite Format Result Cite Review PDF Full Text: DOI
Kikuchi, Koji Linear approximation for equations of motion of vibrating membrane with one parameter. (English) Zbl 1142.35049 J. Math. Soc. Japan 60, No. 1, 127-169 (2008). MSC: 35L70 49J40 49Q15 74K15 × Cite Format Result Cite Review PDF Full Text: DOI
Kawohl, Bernd; Schuricht, Friedemann Dirichlet problems for the 1-Laplace operator, including the eigenvalue problem. (English) Zbl 1146.35023 Commun. Contemp. Math. 9, No. 4, 515-543 (2007). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 35D05 35P30 49J52 49K99 49R50 × Cite Format Result Cite Review PDF Full Text: DOI
De Cicco, V.; Gori, Michele On supremal functionals defined in \(BV\). (English) Zbl 1150.49004 Ann. Mat. Pura Appl. (4) 186, No. 4, 603-620 (2007). Reviewer: Uldis Raitums (Riga) MSC: 49J45 × Cite Format Result Cite Review PDF Full Text: DOI
Amar, Micol; De Cicco, Virginia; Fusco, Nicola A relaxation result in BV for integral functionals with discontinuous integrands. (English) Zbl 1330.49008 ESAIM, Control Optim. Calc. Var. 13, No. 2, 396-412 (2007). MSC: 49J45 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Garguichevich, Graciela G.; Gariboldi, Claudia M.; Marangunic, Pedro R.; Pallara, Diego Direct methods in the calculus of variations. (English) Zbl 1125.41001 MAT. Serie A: Conferencias, Seminarios y Trabajos de Matemática 13. Rosario: Universidad Austral, Departamento de Matemática. 41 p. (2006). Reviewer: Martin D. Buhmann (Gießen) MSC: 41-01 49-01 × Cite Format Result Cite Review PDF Full Text: Link
Frid, Hermano; LeFloch, Philippe G. Uniqueness for multidimensional hyperbolic systems with commuting Jacobians. (English) Zbl 1103.35068 Arch. Ration. Mech. Anal. 182, No. 1, 25-47 (2006). MSC: 35L60 35L45 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Amar, Micol; De Ciccio, Virginia Quasi-polyhedral approximation of \(BV\)-functions. (English) Zbl 1139.49015 Ric. Mat. 54, No. 2, 485-490 (2005). Reviewer: Tamaz Tadumadze (Tbilisi) MSC: 49J45 49Q20 26A45 × Cite Format Result Cite Review PDF
Pierre, Morgan Weak series BV convergence of a moving finite-element method for singular axisymmetric harmonic maps. (English) Zbl 1109.65103 SIAM J. Numer. Anal. 43, No. 4, 1436-1454 (2005). Reviewer: H. P. Dikshit (New Delhi) MSC: 65N30 65N12 65N50 53C43 58E20 × Cite Format Result Cite Review PDF Full Text: DOI
De Cicco, Virginia; Fusco, Nicola; Verde, Anna On \(L^1\)-lower semicontinuity in \(BV\). (English) Zbl 1115.49011 J. Convex Anal. 12, No. 1, 173-185 (2005). Reviewer: Michele Miranda (Ferrara) MSC: 49J45 49J10 × Cite Format Result Cite Review PDF
Alter, F.; Caselles, V.; Chambolle, A. Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow. (English) Zbl 1084.49003 Interfaces Free Bound. 7, No. 1, 29-53 (2005). Reviewer: Martin Fuchs (Saarbrücken) MSC: 49J20 35K55 49K20 49Q15 35K65 × Cite Format Result Cite Review PDF Full Text: DOI
Ambrosio, Luigi; De Lellis, Camillo A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations. (English) Zbl 1071.35032 J. Hyperbolic Differ. Equ. 1, No. 4, 813-826 (2004). MSC: 35F20 35D10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Demengel, Françoise Functions locally almost 1-harmonic. (English) Zbl 1135.35333 Appl. Anal. 83, No. 9, 865-896 (2004). MSC: 35J60 31B05 35J70 × Cite Format Result Cite Review PDF Full Text: DOI
Jerrard, R. L.; Jung, N. Strict convergence and minimal liftings in BV. (English) Zbl 1115.49033 Proc. R. Soc. Edinb., Sect. A, Math. 134, No. 6, 1163-1176 (2004). Reviewer: Luigi de Pascale (Pisa) MSC: 49Q15 49Q20 × Cite Format Result Cite Review PDF Full Text: DOI
Andreu-Vaillo, Fuensanta; Caselles, Vicent; Mazón, José M. Parabolic quasilinear equations minimizing linear growth functionals. (English) Zbl 1053.35002 Progress in Mathematics (Boston, Mass.) 223. Basel: Birkhäuser (ISBN 3-7643-6619-2/hbk). xiv, 340 p. (2004). Reviewer: Luigi Ambrosio (Pisa) MSC: 35-02 35K55 49J10 49K10 68U10 65M06 47H06 47H20 94A08 × Cite Format Result Cite Review PDF
Miranda, Michele Functions of bounded variation on “good” metric spaces. (English) Zbl 1109.46030 J. Math. Pures Appl. (9) 82, No. 8, 975-1004 (2003). MSC: 46E15 42B35 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Ambrosio, Luigi On some recent developments of the theory of sets of finite perimeter. (English) Zbl 1225.49039 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 14, No. 3, 179-187 (2003). MSC: 49Q15 × Cite Format Result Cite Review PDF
Goginava, U. On the embedding Waterman, Chanturia and generalized Wiener classes in the classes \(H^{\omega}_1\). (English) Zbl 1048.26007 Georgian Math. J. 10, No. 4, 677-686 (2003). Reviewer: Robert E. Zink (Lafayette) MSC: 26A45 × Cite Format Result Cite Review PDF Full Text: EuDML
Ambrosio, Luigi; De Lellis, Camillo Existence of solutions for a class of hyperbolic systems of conservation laws in several space dimensions. (English) Zbl 1061.35048 Int. Math. Res. Not. 2003, No. 41, 2205-2220 (2003). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35L45 35F10 × Cite Format Result Cite Review PDF Full Text: DOI
De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael Structure of entropy solutions for multi-dimensional scalar conservation laws. (English) Zbl 1036.35127 Arch. Ration. Mech. Anal. 170, No. 2, 137-184 (2003). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35L65 35L67 × Cite Format Result Cite Review PDF Full Text: DOI
De Pauw, Thierry On the exceptional sets of the flux of a bounded vectorfield. (English) Zbl 1042.49039 J. Math. Pures Appl., IX. Sér. 82, No. 9, 1191-1217 (2003). MSC: 49Q15 28A75 26A39 26B15 × Cite Format Result Cite Review PDF Full Text: DOI
Yin, J. X.; Li, H. L.; Pang, P. Y. H. \(BV\) solutions of a singular diffusion equation. (English) Zbl 1032.35112 Math. Nachr. 253, 92-106 (2003). Reviewer: Georgii Sviridyuk (Chelyabinsk) MSC: 35K65 35D05 × Cite Format Result Cite Review PDF Full Text: DOI
Bildhauer, Michael; Fuchs, Martin On a class of variational integrals with linear growth satisfying the condition of \(\mu\)-ellipticity. (English) Zbl 1047.49029 Rend. Mat. Appl., VII. Ser. 22, 249-274 (2002). MSC: 49N60 49N15 49M29 × Cite Format Result Cite Review PDF
Cianchi, Andrea; Fusco, Nicola Symmetrization and functionals defined on BV. (English) Zbl 1045.49029 Dal Maso, Gianni (ed.) et al., Variational methods for discontinuous structures. International workshop, Villa Erba (Cernobbio), Italy, July 4–6, 2001. Basel: Birkhäuser (ISBN 3-7643-6913-2/hbk). Prog. Nonlinear Differ. Equ. Appl. 51, 91-102 (2002). Reviewer: Giuseppe Buttazzo (Pisa) MSC: 49Q20 26D10 35A30 34A40 46E35 26B30 × Cite Format Result Cite Review PDF
Bildhauer, Michael A priori gradient estimates for bounded generalized solutions of a class of variational problems with linear growth. (English) Zbl 1011.49022 J. Convex Anal. 9, No. 1, 117-137 (2002). Reviewer: Dian K.Palagachev (Bari) MSC: 49N60 49M29 49N15 35J50 × Cite Format Result Cite Review PDF
Baldi, Annalisa Weighted BV functions. (English) Zbl 1036.26009 Houston J. Math. 27, No. 3, 683-705 (2001). Reviewer: Anna Salvadori (Perugia) MSC: 26B30 46E35 49Q05 × Cite Format Result Cite Review PDF
Fukushima, Masatoshi; Hino, Masanori On the space of BV functions and a related stochastic calculus in infinite dimensions. (English) Zbl 0993.60049 J. Funct. Anal. 183, No. 1, 245-268 (2001). Reviewer: M.Röckner (Bielefeld) MSC: 60G60 31C25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Schindlmayr, G. Capillary surfaces in non-cylindrical domains. (English) Zbl 0960.76019 Z. Anal. Anwend. 19, No. 3, 747-762 (2000). MSC: 76B45 76M30 49Q20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Csörnyei, Marianna Absolutely continuous functions of Rado, Reichelderfer, and Malý. (English) Zbl 0981.26009 J. Math. Anal. Appl. 252, No. 1, 147-166 (2000). Reviewer: L.Ambrosio (Pisa) MSC: 26A46 26A45 × Cite Format Result Cite Review PDF Full Text: DOI
Bongiorno, Benedetto On the minimal solution of the problem of primitives. (English) Zbl 0991.26004 J. Math. Anal. Appl. 251, No. 2, 479-487 (2000). Reviewer: Peter S.Bullen (Vancouver) MSC: 26A39 × Cite Format Result Cite Review PDF Full Text: DOI
Carbone, L.; De Arcangelis, R.; De Maio, U. Homogenization of media with periodically distributed conductors. (English) Zbl 0959.35015 Asymptotic Anal. 23, No. 2, 157-194 (2000). Reviewer: Marco Biroli (Monza) MSC: 35B27 49J45 35J60 × Cite Format Result Cite Review PDF
Ren, Xiaofeng; Wei, Juncheng On the multiplicity of solutions of two nonlocal variational problems. (English) Zbl 0973.49007 SIAM J. Math. Anal. 31, No. 4, 909-924 (2000). MSC: 49J45 74G35 74N15 × Cite Format Result Cite Review PDF Full Text: DOI