Prunier, Raphaël Fuglede-type arguments for isoperimetric problems and applications to stability among convex shapes. (English) Zbl 07817071 SIAM J. Math. Anal. 56, No. 2, 1560-1603 (2024). MSC: 49Q10 49K20 46E35 35P15 PDFBibTeX XMLCite \textit{R. Prunier}, SIAM J. Math. Anal. 56, No. 2, 1560--1603 (2024; Zbl 07817071) Full Text: DOI arXiv
Brigati, Giovanni; Dolbeault, Jean; Simonov, Nikita On Gaussian interpolation inequalities. (Sur des inégalités d’interpolation Gaussiennes.) (English. French summary) Zbl 07816874 C. R., Math., Acad. Sci. Paris 362, 21-44 (2024). MSC: 26D10 46T12 46E35 39B62 43A90 49J40 58E35 PDFBibTeX XMLCite \textit{G. Brigati} et al., C. R., Math., Acad. Sci. Paris 362, 21--44 (2024; Zbl 07816874) Full Text: DOI arXiv
Nobili, Francesco; Violo, Ivan Yuri Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds. (English) Zbl 07811955 Adv. Math. 440, Article ID 109521, 58 p. (2024). MSC: 53C21 46E35 49J52 PDFBibTeX XMLCite \textit{F. Nobili} and \textit{I. Y. Violo}, Adv. Math. 440, Article ID 109521, 58 p. (2024; Zbl 07811955) Full Text: DOI arXiv
Monteil, Antonin; Pegon, Paul Mass concentration in rescaled first order integral functionals. (Concentration de masse dans des fonctionnelles intégrales d’ordre \(1\).) (English. French summary) Zbl 07811896 J. Éc. Polytech., Math. 11, 431-472 (2024). MSC: 28A33 49J45 46E35 49Q20 76T99 49Q22 49J10 PDFBibTeX XMLCite \textit{A. Monteil} and \textit{P. Pegon}, J. Éc. Polytech., Math. 11, 431--472 (2024; Zbl 07811896) Full Text: DOI arXiv
Kinnunen, Juha; Nastasi, Antonella; Camacho, Cintia Pacchiano Gradient higher integrability for double phase problems on metric measure spaces. (English) Zbl 07805273 Proc. Am. Math. Soc. 152, No. 3, 1233-1251 (2024). Reviewer: Antonio Roberto da Silva (Rio de Janeiro) MSC: 49Q20 49N60 31C45 35J60 46E35 PDFBibTeX XMLCite \textit{J. Kinnunen} et al., Proc. Am. Math. Soc. 152, No. 3, 1233--1251 (2024; Zbl 07805273) Full Text: DOI arXiv
Ok, Jihoon; Scilla, Giovanni; Stroffolini, Bianca Regularity theory for parabolic systems with Uhlenbeck structure. (English. French summary) Zbl 07800982 J. Math. Pures Appl. (9) 182, 116-163 (2024). Reviewer: Lubomira Softova (Fisciano) MSC: 35B65 35K40 35K59 46E35 49N60 PDFBibTeX XMLCite \textit{J. Ok} et al., J. Math. Pures Appl. (9) 182, 116--163 (2024; Zbl 07800982) Full Text: DOI arXiv
Braides, Andrea; Dal Maso, Gianni Validity and failure of the integral representation of \(\Gamma \)-limits of convex non-local functionals. (English) Zbl 07797704 J. Funct. Anal. 286, No. 6, Article ID 110317, 26 p. (2024). Reviewer: Stepan Agop Tersian (Rousse) MSC: 49J45 31C25 46E35 31B15 PDFBibTeX XMLCite \textit{A. Braides} and \textit{G. Dal Maso}, J. Funct. Anal. 286, No. 6, Article ID 110317, 26 p. (2024; Zbl 07797704) Full Text: DOI arXiv
Balogh, Zoltán M.; Kristály, Alexandru; Tripaldi, Francesca Sharp log-Sobolev inequalities in \(\mathsf{CD}(0, N)\) spaces with applications. (English) Zbl 07794592 J. Funct. Anal. 286, No. 2, Article ID 110217, 41 p. (2024). MSC: 28A25 26D15 46E35 49Q22 PDFBibTeX XMLCite \textit{Z. M. Balogh} et al., J. Funct. Anal. 286, No. 2, Article ID 110217, 41 p. (2024; Zbl 07794592) Full Text: DOI arXiv
De Filippis, Filomena; Leonetti, Francesco No Lavrentiev gap for some double phase integrals. (English) Zbl 07786307 Adv. Calc. Var. 17, No. 1, 165-194 (2024). MSC: 49K20 35B65 35J60 35J47 46E35 35J20 PDFBibTeX XMLCite \textit{F. De Filippis} and \textit{F. Leonetti}, Adv. Calc. Var. 17, No. 1, 165--194 (2024; Zbl 07786307) Full Text: DOI
Kreisbeck, Carolin; Schönberger, Hidde Non-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems. arXiv:2402.11308 Preprint, arXiv:2402.11308 [math.AP] (2024). MSC: 35R11 49J45 47G20 35S15 46E35 BibTeX Cite \textit{C. Kreisbeck} and \textit{H. Schönberger}, ``Non-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems'', Preprint, arXiv:2402.11308 [math.AP] (2024) Full Text: arXiv OA License
Gianocca, Matilde Optimal weighted Wente’s inequality. arXiv:2402.04156 Preprint, arXiv:2402.04156 [math.AP] (2024). MSC: 35G15 46E35 49J40 31Axx 58E20 BibTeX Cite \textit{M. Gianocca}, ``Optimal weighted Wente's inequality'', Preprint, arXiv:2402.04156 [math.AP] (2024) Full Text: arXiv OA License
Davoli, Elisa; Di Fratta, Giovanni; Giorgio, Rossella A Bourgain-Brezis-Mironescu formula accounting for nonlocal antisymmetric exchange interactions. arXiv:2401.10104 Preprint, arXiv:2401.10104 [math.AP] (2024). MSC: 46E35 49J45 49S05 BibTeX Cite \textit{E. Davoli} et al., ``A Bourgain-Brezis-Mironescu formula accounting for nonlocal antisymmetric exchange interactions'', Preprint, arXiv:2401.10104 [math.AP] (2024) Full Text: arXiv OA License
Roskovec, Tomáš G.; Soudský, Filip An elementary proof of Marcellini Sbordone semicontinuity theorem. (English) Zbl 07790658 Kybernetika 59, No. 5, 723-736 (2023). MSC: 49J45 49J20 46E35 PDFBibTeX XMLCite \textit{T. G. Roskovec} and \textit{F. Soudský}, Kybernetika 59, No. 5, 723--736 (2023; Zbl 07790658) Full Text: DOI arXiv
Kenne, Cyrille; Mophou, Gisèle On a weak maximum principle for a class of fractional diffusive equations. (English) Zbl 07762909 Analysis, München 43, No. 4, 215-230 (2023). MSC: 35R11 35B50 46E35 49K20 PDFBibTeX XMLCite \textit{C. Kenne} and \textit{G. Mophou}, Analysis, München 43, No. 4, 215--230 (2023; Zbl 07762909) Full Text: DOI arXiv
Tao, Lulu; He, Rui; Liang, Sihua Small perturbations of critical nonlocal equations with variable exponents. (English) Zbl 1526.35299 Demonstr. Math. 56, Article ID 20230266, 17 p. (2023). MSC: 35R11 35B33 35D30 35J20 35J25 35J61 46E35 49J35 PDFBibTeX XMLCite \textit{L. Tao} et al., Demonstr. Math. 56, Article ID 20230266, 17 p. (2023; Zbl 1526.35299) Full Text: DOI OA License
Hästö, Peter; Ok, Jihoon Regularity theory for non-autonomous problems with a priori assumptions. (English) Zbl 07756896 Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 251, 28 p. (2023). MSC: 35B65 35A15 35J62 46E35 49N60 PDFBibTeX XMLCite \textit{P. Hästö} and \textit{J. Ok}, Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 251, 28 p. (2023; Zbl 07756896) Full Text: DOI arXiv OA License
Liang, Sihua; Pucci, Patrizia; Zhang, Binlin Existence and multiplicity of solutions for critical nonlocal equations with variable exponents. (English) Zbl 1523.35285 Appl. Anal. 102, No. 15, 4306-4329 (2023). MSC: 35R11 35B33 35D30 35J20 46E35 49J35 PDFBibTeX XMLCite \textit{S. Liang} et al., Appl. Anal. 102, No. 15, 4306--4329 (2023; Zbl 1523.35285) Full Text: DOI
Bellido, José Carlos; Cueto, Javier; Mora-Corral, Carlos Non-local gradients in bounded domains motivated by continuum mechanics: fundamental theorem of calculus and embeddings. (English) Zbl 07740634 Adv. Nonlinear Anal. 12, Article ID 20220316, 48 p. (2023). MSC: 26A33 35R11 46E35 49J45 74A70 35Q74 42B20 49K21 74B20 74G65 PDFBibTeX XMLCite \textit{J. C. Bellido} et al., Adv. Nonlinear Anal. 12, Article ID 20220316, 48 p. (2023; Zbl 07740634) Full Text: DOI arXiv
D’Apice, Ciro; Kogut, Peter I.; Manzo, Rosanna A two-level variational algorithm in the Sobolev-Orlicz space to predict daily surface reflectance at LANDSAT high spatial resolution and MODIS temporal frequency. (English) Zbl 1518.49028 J. Comput. Appl. Math. 434, Article ID 115339, 23 p. (2023). MSC: 49K27 49K20 49J45 46E35 94A08 PDFBibTeX XMLCite \textit{C. D'Apice} et al., J. Comput. Appl. Math. 434, Article ID 115339, 23 p. (2023; Zbl 1518.49028) Full Text: DOI
Bonforte, Matteo; Dolbeault, Jean; Nazaret, Bruno; Simonov, Nikita Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations. (English) Zbl 07700753 Discrete Contin. Dyn. Syst. 43, No. 3-4, 1070-1089 (2023). MSC: 26D10 46E35 35K55 35B40 49K20 PDFBibTeX XMLCite \textit{M. Bonforte} et al., Discrete Contin. Dyn. Syst. 43, No. 3--4, 1070--1089 (2023; Zbl 07700753) Full Text: DOI arXiv
De Rosa, Luigi; Tione, Riccardo Fine properties of symmetric and positive matrix fields with bounded divergence. (English) Zbl 1516.49002 Adv. Math. 427, Article ID 109130, 42 p. (2023). MSC: 49J10 49J27 46E35 49J45 PDFBibTeX XMLCite \textit{L. De Rosa} and \textit{R. Tione}, Adv. Math. 427, Article ID 109130, 42 p. (2023; Zbl 1516.49002) Full Text: DOI arXiv
Chaker, Jamil; Kim, Minhyun; Weidner, Marvin The concentration-compactness principle for the nonlocal anisotropic \(p\)-Laplacian of mixed order. (English) Zbl 1516.35454 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113254, 18 p. (2023). MSC: 35R11 35A01 35J92 49J35 46E35 46B50 PDFBibTeX XMLCite \textit{J. Chaker} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113254, 18 p. (2023; Zbl 1516.35454) Full Text: DOI arXiv
Dai, Jin; Mou, Shuang The minimal affine total variation on \(BV(\mathbb{R}^n)\). (English) Zbl 07680273 Adv. Appl. Math. 147, Article ID 102504, 25 p. (2023). Reviewer: Andrey Zahariev (Plovdiv) MSC: 49Q20 26B30 46E35 PDFBibTeX XMLCite \textit{J. Dai} and \textit{S. Mou}, Adv. Appl. Math. 147, Article ID 102504, 25 p. (2023; Zbl 07680273) Full Text: DOI
D’Onofrio, Chiara; Zeppieri, Caterina Ida \(\Gamma\)-convergence and stochastic homogenization of degenerate integral functionals in weighted Sobolev spaces. (English) Zbl 1521.49010 Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 2, 491-544 (2023). Reviewer: Elvira Zappale (Roma) MSC: 49J45 49J27 46E35 35J70 74B20 74G65 74Q05 PDFBibTeX XMLCite \textit{C. D'Onofrio} and \textit{C. I. Zeppieri}, Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 2, 491--544 (2023; Zbl 1521.49010) Full Text: DOI
Knüpfer, Hans; Shi, Wenhui Second order expansion for the nonlocal perimeter functional. (English) Zbl 1519.46022 Commun. Math. Phys. 398, No. 3, 1371-1402 (2023). MSC: 46E35 49Q20 49Q10 PDFBibTeX XMLCite \textit{H. Knüpfer} and \textit{W. Shi}, Commun. Math. Phys. 398, No. 3, 1371--1402 (2023; Zbl 1519.46022) Full Text: DOI arXiv
Gui, Changfeng; Hu, Yeyao; Li, Qinfeng On smooth interior approximation of sets of finite perimeter. (English) Zbl 07660705 Proc. Am. Math. Soc. 151, No. 5, 1949-1962 (2023). MSC: 28A75 46E35 49Q15 49Q20 PDFBibTeX XMLCite \textit{C. Gui} et al., Proc. Am. Math. Soc. 151, No. 5, 1949--1962 (2023; Zbl 07660705) Full Text: DOI arXiv
Lamboley, Jimmy; Prunier, Raphaël Regularity in shape optimization under convexity constraint. (English) Zbl 1507.49035 Calc. Var. Partial Differ. Equ. 62, No. 3, Paper No. 101, 44 p. (2023). MSC: 49Q10 46E35 35P15 PDFBibTeX XMLCite \textit{J. Lamboley} and \textit{R. Prunier}, Calc. Var. Partial Differ. Equ. 62, No. 3, Paper No. 101, 44 p. (2023; Zbl 1507.49035) Full Text: DOI arXiv
Braides, Andrea; Dal Maso, Gianni Continuity of some non-local functionals with respect to a convergence of the underlying measures. (English. French summary) Zbl 1510.49007 J. Math. Pures Appl. (9) 170, 136-149 (2023). Reviewer: Aygul Manapova (Ufa) MSC: 49J45 49J27 46E35 28A33 28A35 PDFBibTeX XMLCite \textit{A. Braides} and \textit{G. Dal Maso}, J. Math. Pures Appl. (9) 170, 136--149 (2023; Zbl 1510.49007) Full Text: DOI arXiv
Gui, Changfeng; Hu, Yeyao; Li, Qinfeng Extensions and traces of BV functions in rough domains and generalized Cheeger sets. (English) Zbl 1528.28009 Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 38, 19 p. (2023). MSC: 28A75 26B30 46E35 49Q15 49Q20 PDFBibTeX XMLCite \textit{C. Gui} et al., Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 38, 19 p. (2023; Zbl 1528.28009) Full Text: DOI
Fornoni, Matteo; Rondi, Luca Mosco convergence of Sobolev spaces and Sobolev inequalities for nonsmooth domains. (English) Zbl 1501.49010 Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 15, 30 p. (2023). MSC: 49J45 46E35 35P25 PDFBibTeX XMLCite \textit{M. Fornoni} and \textit{L. Rondi}, Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 15, 30 p. (2023; Zbl 1501.49010) Full Text: DOI arXiv
Foghem, Guy; Padilla-Garza, David; Schmidtchen, Markus Gradient Flow Solutions For Porous Medium Equations with Nonlocal Lévy-type Pressure. arXiv:2311.15340 Preprint, arXiv:2311.15340 [math.AP] (2023). MSC: 35A15 35R09 35R11 46E35 47A07 49J40 35S10 BibTeX Cite \textit{G. Foghem} et al., ``Gradient Flow Solutions For Porous Medium Equations with Nonlocal L\'{e}vy-type Pressure'', Preprint, arXiv:2311.15340 [math.AP] (2023) Full Text: arXiv OA License
Rawat, Rama; Roy, Haripada; Roy, Prosenjit Fractional Caffarelli-Kohn-Nirenberg type inequalities on the Heisenberg group. arXiv:2311.13211 Preprint, arXiv:2311.13211 [math.AP] (2023). MSC: 46E35 26D15 43A80 49J52 BibTeX Cite \textit{R. Rawat} et al., ``Fractional Caffarelli-Kohn-Nirenberg type inequalities on the Heisenberg group'', Preprint, arXiv:2311.13211 [math.AP] (2023) Full Text: arXiv OA License
Gobbino, Massimo; Picenni, Nicola Gamma-liminf estimate for a class of non-local approximations of Sobolev and BV norms. arXiv:2311.05560 Preprint, arXiv:2311.05560 [math.FA] (2023). MSC: 49J45 26D10 46E35 26B30 BibTeX Cite \textit{M. Gobbino} and \textit{N. Picenni}, ``Gamma-liminf estimate for a class of non-local approximations of Sobolev and BV norms'', Preprint, arXiv:2311.05560 [math.FA] (2023) Full Text: arXiv OA License
Lučić, Danka; Pasqualetto, Enrico Yet another proof of the density in energy of Lipschitz functions. arXiv:2311.03119 Preprint, arXiv:2311.03119 [math.FA] (2023). MSC: 53C23 46E35 49J52 46N10 BibTeX Cite \textit{D. Lučić} and \textit{E. Pasqualetto}, ``Yet another proof of the density in energy of Lipschitz functions'', Preprint, arXiv:2311.03119 [math.FA] (2023) Full Text: arXiv OA License
Butaev, Almaz; Luo, Liangbing; Shanmugalingam, Nageswari Construction of a Dirichlet form on metric measure spaces of controlled geometry. arXiv:2310.14436 Preprint, arXiv:2310.14436 [math.MG] (2023). MSC: 31C25 46E35 49Q20 65N55 BibTeX Cite \textit{A. Butaev} et al., ``Construction of a Dirichlet form on metric measure spaces of controlled geometry'', Preprint, arXiv:2310.14436 [math.MG] (2023) Full Text: arXiv OA License
Lafleche, Laurent Quantum Optimal Transport and Weak Topologies. arXiv:2306.12944 Preprint, arXiv:2306.12944 [math.AP] (2023). MSC: 81Q20 81S30 49Q22 81Q05 46N50 46E35 BibTeX Cite \textit{L. Lafleche}, ``Quantum Optimal Transport and Weak Topologies'', Preprint, arXiv:2306.12944 [math.AP] (2023) Full Text: arXiv OA License
Bertazzoni, Giacomo; Harjulehto, Petteri; Hästö, Peter Convergence of generalized Orlicz norms with lower growth rate tending to infinity. arXiv:2306.12170 Preprint, arXiv:2306.12170 [math.AP] (2023). MSC: 49J45 46E35 BibTeX Cite \textit{G. Bertazzoni} et al., ``Convergence of generalized Orlicz norms with lower growth rate tending to infinity'', Preprint, arXiv:2306.12170 [math.AP] (2023) Full Text: arXiv OA License
Pasqualetto, Enrico; Rajala, Tapio Vector calculus on weighted reflexive Banach spaces. arXiv:2306.03684 Preprint, arXiv:2306.03684 [math.FA] (2023). MSC: 53C23 46E35 18F15 49J52 BibTeX Cite \textit{E. Pasqualetto} and \textit{T. Rajala}, ``Vector calculus on weighted reflexive Banach spaces'', Preprint, arXiv:2306.03684 [math.FA] (2023) Full Text: arXiv OA License
Basso, Giuliano; Marti, Denis; Wenger, Stefan Geometric and analytic structures on metric spaces homeomorphic to a manifold. arXiv:2303.13490 Preprint, arXiv:2303.13490 [math.MG] (2023). MSC: 53C23 49Q15 28A75 46E35 BibTeX Cite \textit{G. Basso} et al., ``Geometric and analytic structures on metric spaces homeomorphic to a manifold'', Preprint, arXiv:2303.13490 [math.MG] (2023) Full Text: arXiv OA License
Rigoni, Chiara; Stepanov, Eugene; Trevisan, Dario Lie brackets of nonsmooth vector fields and commutation of their flows. (English) Zbl 07730836 J. Lond. Math. Soc., II. Ser. 106, No. 2, 1232-1256 (2022). MSC: 34A36 46E35 49J52 37C10 58A05 PDFBibTeX XMLCite \textit{C. Rigoni} et al., J. Lond. Math. Soc., II. Ser. 106, No. 2, 1232--1256 (2022; Zbl 07730836) Full Text: DOI arXiv
Gelli, Maria Stella; Lučić, Danka A note on BV and 1-Sobolev functions on the weighted Euclidean space. (English) Zbl 07722553 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 4, 757-794 (2022). MSC: 46E35 26B30 49J45 PDFBibTeX XMLCite \textit{M. S. Gelli} and \textit{D. Lučić}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 4, 757--794 (2022; Zbl 07722553) Full Text: DOI arXiv
Salsa, Sandro; Verzini, Gianmaria Partial differential equations in action. From modelling to theory. 4th updated edition. (English) Zbl 1515.35002 Unitext 147. La Matematica per il 3+2. Cham: Springer (ISBN 978-3-031-21852-1/pbk; 978-3-031-21853-8/ebook). xviii, 677 p. (2022). MSC: 35-01 46-01 35Qxx 00A69 46E35 49K20 PDFBibTeX XMLCite \textit{S. Salsa} and \textit{G. Verzini}, Partial differential equations in action. From modelling to theory. 4th updated edition. Cham: Springer (2022; Zbl 1515.35002) Full Text: DOI
Ge, Bin; Zhao, Jin-Wei; Yuan, Wen-Shuo On double-phase problems without any growth and Ambrosetti-Rabinowitz conditions. (English) Zbl 1509.49018 J. Math. Phys. 63, No. 9, Article ID 091502, 12 p. (2022). MSC: 49N60 35J62 35J60 35J20 46E35 PDFBibTeX XMLCite \textit{B. Ge} et al., J. Math. Phys. 63, No. 9, Article ID 091502, 12 p. (2022; Zbl 1509.49018) Full Text: DOI
Tyulenev, A. I. Some porosity-type properties of sets related to the \(d\)-Hausdorff content. (English. Russian original) Zbl 1528.28003 Proc. Steklov Inst. Math. 319, 283-306 (2022); translation from Tr. Mat. Inst. Steklova 319, 298-323 (2022). MSC: 28A12 28A78 46E35 49Q15 PDFBibTeX XMLCite \textit{A. I. Tyulenev}, Proc. Steklov Inst. Math. 319, 283--306 (2022; Zbl 1528.28003); translation from Tr. Mat. Inst. Steklova 319, 298--323 (2022) Full Text: DOI arXiv
Baranov, Viktor Nikolaevich; Rodionov, Vitaliĭ Ivanovich On nonlinear metric spaces of functions of bounded variation. (Russian. English summary) Zbl 1511.46023 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 32, No. 3, 341-360 (2022). MSC: 46E35 49J52 26A45 PDFBibTeX XMLCite \textit{V. N. Baranov} and \textit{V. I. Rodionov}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 32, No. 3, 341--360 (2022; Zbl 1511.46023) Full Text: DOI MNR
Ok, Jihoon; Scilla, Giovanni; Stroffolini, Bianca Boundary partial regularity for minimizers of discontinuous quasiconvex integrals with general growth. (English) Zbl 1505.35148 Commun. Pure Appl. Anal. 21, No. 12, 4173-4214 (2022). Reviewer: Vincenzo Vespri (Firenze) MSC: 35J47 46E35 49N60 PDFBibTeX XMLCite \textit{J. Ok} et al., Commun. Pure Appl. Anal. 21, No. 12, 4173--4214 (2022; Zbl 1505.35148) Full Text: DOI arXiv
Guo, Chang-Yu; Huang, Manzi; Wang, Zhuang; Xu, Haiqing \(p\)-harmonic mappings between metric spaces. (English) Zbl 1498.58013 Math. Z. 302, No. 3, 1797-1819 (2022). MSC: 58E20 46E35 49Q10 PDFBibTeX XMLCite \textit{C.-Y. Guo} et al., Math. Z. 302, No. 3, 1797--1819 (2022; Zbl 1498.58013) Full Text: DOI arXiv
Lin, Lin; Lindsey, Michael Variational embedding for quantum many-body problems. (English) Zbl 1511.81148 Commun. Pure Appl. Math. 75, No. 9, 2033-2068 (2022). MSC: 81V70 62H20 18B15 35P15 70H45 81V74 81R15 49Q22 PDFBibTeX XMLCite \textit{L. Lin} and \textit{M. Lindsey}, Commun. Pure Appl. Math. 75, No. 9, 2033--2068 (2022; Zbl 1511.81148) Full Text: DOI arXiv
Leite, Edir Junior Ferreira; Montenegro, Marcos Minimization to the Zhang’s energy on \(BV (\Omega)\) and sharp affine Poincaré-Sobolev inequalities. (English) Zbl 1504.46042 J. Funct. Anal. 283, No. 10, Article ID 109646, 24 p. (2022). MSC: 46E35 52A40 49J45 PDFBibTeX XMLCite \textit{E. J. F. Leite} and \textit{M. Montenegro}, J. Funct. Anal. 283, No. 10, Article ID 109646, 24 p. (2022; Zbl 1504.46042) Full Text: DOI arXiv
Finster, Felix; Lottner, Magdalena Elliptic methods for solving the linearized field equations of causal variational principles. (English) Zbl 07542662 Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 133, 33 p. (2022). Reviewer: Aygul Manapova (Ufa) MSC: 49J27 49J20 35J50 46E35 PDFBibTeX XMLCite \textit{F. Finster} and \textit{M. Lottner}, Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 133, 33 p. (2022; Zbl 07542662) Full Text: DOI arXiv
Du, Qiang; Mengesha, Tadele; Tian, Xiaochuan Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization. (English) Zbl 1498.46043 Anal. Appl., Singap. 20, No. 3, 579-614 (2022). MSC: 46E35 35A23 49N60 47G10 35Q74 PDFBibTeX XMLCite \textit{Q. Du} et al., Anal. Appl., Singap. 20, No. 3, 579--614 (2022; Zbl 1498.46043) Full Text: DOI arXiv
Hästö, Peter; Ok, Jihoon Maximal regularity for local minimizers of non-autonomous functionals. (English) Zbl 1485.49044 J. Eur. Math. Soc. (JEMS) 24, No. 4, 1285-1334 (2022). MSC: 49N60 35A15 35B65 35J62 46E35 PDFBibTeX XMLCite \textit{P. Hästö} and \textit{J. Ok}, J. Eur. Math. Soc. (JEMS) 24, No. 4, 1285--1334 (2022; Zbl 1485.49044) Full Text: DOI
Wang, Yamin; Yang, Yunyan Finding critical points of the Trudinger-Moser functional through the heat flow. (English) Zbl 1495.46026 Proc. Am. Math. Soc. 150, No. 6, 2475-2485 (2022). MSC: 46E35 49J40 58J35 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Y. Yang}, Proc. Am. Math. Soc. 150, No. 6, 2475--2485 (2022; Zbl 1495.46026) Full Text: DOI
Fărcăşeanu, Maria; Mihăilescu, Mihai; Stancu-Dumitru, Denisa On a family of torsional creep problems in Finsler metrics. (English) Zbl 1483.35069 Can. J. Math. 74, No. 1, 24-41 (2022). MSC: 35D30 35B40 35J25 35J92 46E30 46E35 49J40 49J45 49S99 PDFBibTeX XMLCite \textit{M. Fărcăşeanu} et al., Can. J. Math. 74, No. 1, 24--41 (2022; Zbl 1483.35069) Full Text: DOI
Anza Hafsa, Omar; Mandallena, Jean-Philippe Integral representation and relaxation of local functionals on Cheeger-Sobolev spaces. (English) Zbl 1492.46031 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112744, 28 p. (2022). MSC: 46E35 49J45 PDFBibTeX XMLCite \textit{O. Anza Hafsa} and \textit{J.-P. Mandallena}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112744, 28 p. (2022; Zbl 1492.46031) Full Text: DOI
Bal, Kaushik; Mohanta, Kaushik; Roy, Prosenjit; Sk, Firoj Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces. (English) Zbl 1481.35015 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 216, Article ID 112697, 22 p. (2022). MSC: 35A23 35R11 46E35 49J52 PDFBibTeX XMLCite \textit{K. Bal} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 216, Article ID 112697, 22 p. (2022; Zbl 1481.35015) Full Text: DOI arXiv
Ikonen, Toni; Pasqualetto, Enrico; Soultanis, Elefterios Abstract and concrete tangent modules on Lipschitz differentiability spaces. (English) Zbl 1484.53078 Proc. Am. Math. Soc. 150, No. 1, 327-343 (2022). Reviewer: Jesús Núñez Zimbrón (Guanajuato) MSC: 53C23 46E35 49J52 PDFBibTeX XMLCite \textit{T. Ikonen} et al., Proc. Am. Math. Soc. 150, No. 1, 327--343 (2022; Zbl 1484.53078) Full Text: DOI arXiv Link
Brena, Camillo; Pasqualetto, Enrico; Pinamonti, Andrea Sobolev and BV functions on \(\mathrm{RCD}\) spaces via the short-time behaviour of the heat kernel. arXiv:2212.03910 Preprint, arXiv:2212.03910 [math.FA] (2022). MSC: 53C23 49J52 46E35 26A45 35K08 BibTeX Cite \textit{C. Brena} et al., ``Sobolev and BV functions on $\mathrm{RCD}$ spaces via the short-time behaviour of the heat kernel'', Preprint, arXiv:2212.03910 [math.FA] (2022) Full Text: arXiv OA License
Lam, Thomas Effect of Boundary Conditions on Second-Order Singularly-Perturbed Phase Transition Models on \(\mathbb{R}\). arXiv:2211.17176 Preprint, arXiv:2211.17176 [math.AP] (2022). MSC: 49J35 46E35 49S05 BibTeX Cite \textit{T. Lam}, ``Effect of Boundary Conditions on Second-Order Singularly-Perturbed Phase Transition Models on $\mathbb{R}$'', Preprint, arXiv:2211.17176 [math.AP] (2022) Full Text: arXiv OA License
Eleuteri, Michela; Harjulehto, Petteri; Hästö, Peter Bounded variation spaces with generalized Orlicz growth related to image denoising. arXiv:2211.15256 Preprint, arXiv:2211.15256 [math.FA] (2022). MSC: 35J60 26B30 35B40 35J25 46E35 49J27 49J45 BibTeX Cite \textit{M. Eleuteri} et al., ``Bounded variation spaces with generalized Orlicz growth related to image denoising'', Preprint, arXiv:2211.15256 [math.FA] (2022) Full Text: arXiv OA License
Brigati, Giovanni; Dolbeault, Jean; Simonov, Nikita Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results. arXiv:2211.13180 Preprint, arXiv:2211.13180 [math.AP] (2022). MSC: 26D10 58J99 39B62 43A90 49J40 46E35 BibTeX Cite \textit{G. Brigati} et al., ``Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results'', Preprint, arXiv:2211.13180 [math.AP] (2022) Full Text: arXiv OA License
Dolbeault, Jean; Zuniga, Andres Symmetry breaking and weighted Euclidean logarithmic Sobolev inequalities. arXiv:2210.12488 Preprint, arXiv:2210.12488 [math.AP] (2022). MSC: 39B62 49J40 26D10 35B06 35A23 35J20 35K65 46E35 BibTeX Cite \textit{J. Dolbeault} and \textit{A. Zuniga}, ``Symmetry breaking and weighted Euclidean logarithmic Sobolev inequalities'', Preprint, arXiv:2210.12488 [math.AP] (2022) Full Text: arXiv OA License
Menne, Ulrich; Scharrer, Christian A priori bounds for geodesic diameter. Part II. Fine connectedness properties of varifolds. arXiv:2209.05955 Preprint, arXiv:2209.05955 [math.DG] (2022). MSC: 49Q15 46E35 49Q05 49Q20 53A07 53A10 53C42 54D05 BibTeX Cite \textit{U. Menne} and \textit{C. Scharrer}, ``A priori bounds for geodesic diameter. Part II. Fine connectedness properties of varifolds'', Preprint, arXiv:2209.05955 [math.DG] (2022) Full Text: arXiv OA License
Schmidt, Bernd; Steinbach, Martin Korn type Inequalities for Objective Structures. arXiv:2205.04840 Preprint, arXiv:2205.04840 [math.AP] (2022). MSC: 49J40 46E35 70C20 70J25 74Kxx BibTeX Cite \textit{B. Schmidt} and \textit{M. Steinbach}, ``Korn type Inequalities for Objective Structures'', Preprint, arXiv:2205.04840 [math.AP] (2022) Full Text: arXiv OA License
Foghem, Guy; Kassmann, Moritz A general framework for nonlocal Neumann problems. arXiv:2204.06793 Preprint, arXiv:2204.06793 [math.AP] (2022). MSC: 28A80 35J20 35J92 46B10 46E35 47A07 49J40 49J45 BibTeX Cite \textit{G. Foghem} and \textit{M. Kassmann}, ``A general framework for nonlocal Neumann problems'', Preprint, arXiv:2204.06793 [math.AP] (2022) Full Text: DOI arXiv OA License
Balogh, Zoltán M.; Don, Sebastiano; Kristály, Alexandru Sharp weighted log-Sobolev inequalities: characterization of equality cases and applications. arXiv:2202.05578 Preprint, arXiv:2202.05578 [math.AP] (2022). MSC: 28A25 46E35 49Q22 BibTeX Cite \textit{Z. M. Balogh} et al., ``Sharp weighted log-Sobolev inequalities: characterization of equality cases and applications'', Preprint, arXiv:2202.05578 [math.AP] (2022) Full Text: arXiv OA License
Serag, H. M.; Hyder, Abd-Allah; El-Badawy, M. Optimal control for cooperative systems involving fractional Laplace operators. (English) Zbl 1504.49006 J. Inequal. Appl. 2021, Paper No. 196, 16 p. (2021). MSC: 49J20 35R11 49K20 49M25 46E35 PDFBibTeX XMLCite \textit{H. M. Serag} et al., J. Inequal. Appl. 2021, Paper No. 196, 16 p. (2021; Zbl 1504.49006) Full Text: DOI
Dolbeault, Jean Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results. (English) Zbl 1481.35006 Milan J. Math. 89, No. 2, 355-386 (2021). MSC: 35-02 35A23 26D10 35B06 35J60 35K55 46B70 46E35 49J40 49K20 49K30 53C21 PDFBibTeX XMLCite \textit{J. Dolbeault}, Milan J. Math. 89, No. 2, 355--386 (2021; Zbl 1481.35006) Full Text: DOI arXiv
Harjulehto, Petteri; Hästo, Peter; Lee, Mikyoung Hölder continuity of \(\omega\)-minimizers of functionals with generalized Orlicz growth. (English) Zbl 1482.46034 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 2, 549-582 (2021). MSC: 46E30 35J60 35A15 49J40 46E35 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 2, 549--582 (2021; Zbl 1482.46034) Full Text: DOI arXiv
Azzam, Jonas Poincaré inequalities and uniform rectifiability. (English) Zbl 1483.46028 Rev. Mat. Iberoam. 37, No. 6, 2161-2190 (2021). MSC: 46E35 28A75 28A78 49J52 53C23 PDFBibTeX XMLCite \textit{J. Azzam}, Rev. Mat. Iberoam. 37, No. 6, 2161--2190 (2021; Zbl 1483.46028) Full Text: DOI arXiv
Kreuml, Andreas; Mordhorst, Olaf Fractional perimeters on the sphere. (English) Zbl 1483.46031 Discrete Contin. Dyn. Syst. 41, No. 11, 5439-5454 (2021). MSC: 46E35 49Q20 52A22 PDFBibTeX XMLCite \textit{A. Kreuml} and \textit{O. Mordhorst}, Discrete Contin. Dyn. Syst. 41, No. 11, 5439--5454 (2021; Zbl 1483.46031) Full Text: DOI arXiv
Song, Yueqiang; Shi, Shaoyun Multiple solutions for a class of noncooperative critical nonlocal system with variable exponents. (English) Zbl 1471.35310 Math. Methods Appl. Sci. 44, No. 8, 6630-6646 (2021). MSC: 35R11 35B33 35D30 35J20 35J92 46E35 49J35 PDFBibTeX XMLCite \textit{Y. Song} and \textit{S. Shi}, Math. Methods Appl. Sci. 44, No. 8, 6630--6646 (2021; Zbl 1471.35310) Full Text: DOI
Foss, Mikil Traces on general sets in \(\mathbb{R}^n\) for functions with no differentiability requirements. (English) Zbl 1481.46027 SIAM J. Math. Anal. 53, No. 4, 4212-4251 (2021). MSC: 46E35 35A23 47G10 49Q15 PDFBibTeX XMLCite \textit{M. Foss}, SIAM J. Math. Anal. 53, No. 4, 4212--4251 (2021; Zbl 1481.46027) Full Text: DOI arXiv
Gigli, Nicola; Tyulenev, Alexander Korevaar-Schoen’s directional energy and Ambrosio’s regular Lagrangian flows. (English) Zbl 1471.53077 Math. Z. 298, No. 3-4, 1221-1261 (2021). MSC: 53E50 46E35 58E20 49J99 53D12 PDFBibTeX XMLCite \textit{N. Gigli} and \textit{A. Tyulenev}, Math. Z. 298, No. 3--4, 1221--1261 (2021; Zbl 1471.53077) Full Text: DOI arXiv
Bulanyi, Bohdan; Lemenant, Antoine Regularity for the planar optimal \(p\)-compliance problem. (English) Zbl 1469.49041 ESAIM, Control Optim. Calc. Var. 27, Paper No. 35, 51 p. (2021). Reviewer: Alberto Maione (Freiburg im Breisgau) MSC: 49Q10 35J92 46E35 PDFBibTeX XMLCite \textit{B. Bulanyi} and \textit{A. Lemenant}, ESAIM, Control Optim. Calc. Var. 27, Paper No. 35, 51 p. (2021; Zbl 1469.49041) Full Text: DOI arXiv
Ho, Ky; Kim, Yun-Ho The concentration-compactness principles for \(W^{s,p(\cdot,\cdot)}(\mathbb{R}^N)\) and application. (English) Zbl 1467.35336 Adv. Nonlinear Anal. 10, 816-848 (2021). MSC: 35R11 35B33 35D30 35J20 35J92 46E35 49J35 PDFBibTeX XMLCite \textit{K. Ho} and \textit{Y.-H. Kim}, Adv. Nonlinear Anal. 10, 816--848 (2021; Zbl 1467.35336) Full Text: DOI arXiv
D’Onofrio, Luigi; Malý, Jan; Sbordone, Carlo; Schiattarella, Roberta On \(BV\) homeomorphisms. (English) Zbl 1469.26015 J. Convex Anal. 28, No. 2, 549-568 (2021). Reviewer: Andrey Zahariev (Plovdiv) MSC: 26B30 46E35 49Q15 58A25 PDFBibTeX XMLCite \textit{L. D'Onofrio} et al., J. Convex Anal. 28, No. 2, 549--568 (2021; Zbl 1469.26015) Full Text: arXiv Link
Kawakami, Shoya Two notes on the O’Hara energies. (English) Zbl 1470.57015 Discrete Contin. Dyn. Syst., Ser. S 14, No. 3, 953-970 (2021). MSC: 57K10 53A04 49Q10 46E35 49M25 PDFBibTeX XMLCite \textit{S. Kawakami}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 3, 953--970 (2021; Zbl 1470.57015) Full Text: DOI arXiv
Giacomoni, Jacques; Goel, Divya; Sreenadh, K. Singular doubly nonlocal elliptic problems with Choquard type critical growth nonlinearities. (English) Zbl 1477.49022 J. Geom. Anal. 31, No. 5, 4492-4530 (2021). Reviewer: Ba Khiet Le (Ho Chi Minh City) MSC: 49J52 35A15 35S15 46E35 35D30 35B09 35R11 PDFBibTeX XMLCite \textit{J. Giacomoni} et al., J. Geom. Anal. 31, No. 5, 4492--4530 (2021; Zbl 1477.49022) Full Text: DOI arXiv
Balci, Anna Kh.; Surnachev, Mikhail Lavrentiev gap for some classes of generalized Orlicz functions. (English) Zbl 1487.46027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 207, Article ID 112329, 22 p. (2021). Reviewer: Paolo Musolino (Padova) MSC: 46E30 46E35 49N60 35J60 PDFBibTeX XMLCite \textit{A. Kh. Balci} and \textit{M. Surnachev}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 207, Article ID 112329, 22 p. (2021; Zbl 1487.46027) Full Text: DOI arXiv
Kreuml, Andreas The anisotropic fractional isoperimetric problem with respect to unconditional unit balls. (English) Zbl 1460.49035 Commun. Pure Appl. Anal. 20, No. 2, 783-799 (2021). Reviewer: Jie Xiao (St. John’s) MSC: 49Q20 26D15 46E35 PDFBibTeX XMLCite \textit{A. Kreuml}, Commun. Pure Appl. Anal. 20, No. 2, 783--799 (2021; Zbl 1460.49035) Full Text: DOI arXiv
Carl, Siegfried; Le, Vy Khoi Multi-valued variational inequalities and inclusions. (English) Zbl 1462.49001 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-030-65164-0/hbk; 978-3-030-65167-1/pbk; 978-3-030-65165-7/ebook). xvii, 584 p. (2021). Reviewer: Dian K. Palagachev (Bari) MSC: 49-02 49J40 49J20 46E35 35J87 35J88 35K86 35K87 35R05 35R70 47J20 47J22 47J35 28Bxx 35B51 35J20 35J66 35K61 35K92 35Q74 47H04 47H05 47H07 49J53 PDFBibTeX XMLCite \textit{S. Carl} and \textit{V. K. Le}, Multi-valued variational inequalities and inclusions. Cham: Springer (2021; Zbl 1462.49001) Full Text: DOI
Eleuteri, Michela; Harjulehto, Petteri; Hästö, Peter Minimizers of abstract generalized Orlicz–bounded variation energy. arXiv:2112.06622 Preprint, arXiv:2112.06622 [math.AP] (2021). MSC: 35J60 26B30 35B40 35J25 46E35 49J27 49J45 BibTeX Cite \textit{M. Eleuteri} et al., ``Minimizers of abstract generalized Orlicz--bounded variation energy'', Preprint, arXiv:2112.06622 [math.AP] (2021) Full Text: arXiv OA License
Lewis, Andrew D. Erratum to: “Nonholonomic and constrained variational mechanics”. (English) Zbl 1480.70020 J. Geom. Mech. 12, No. 4, 671-675 (2020). MSC: 70F25 70G45 34C45 46E35 49K05 53C05 53C17 PDFBibTeX XMLCite \textit{A. D. Lewis}, J. Geom. Mech. 12, No. 4, 671--675 (2020; Zbl 1480.70020) Full Text: DOI
Hintermüller, Michael; Papafitsoros, Kostas; Rautenberg, Carlos N. Variable step mollifiers and applications. (English) Zbl 1478.46034 Integral Equations Oper. Theory 92, No. 6, Paper No. 53, 34 p. (2020). MSC: 46E35 42B20 49J40 26A45 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., Integral Equations Oper. Theory 92, No. 6, Paper No. 53, 34 p. (2020; Zbl 1478.46034) Full Text: DOI arXiv
Mallick, Arka; Nguyen, Hoai-Minh Exponential integrability in the spirit of Moser-Trudinger’s inequalities of functions with finite non-local, non-convex energy. (English) Zbl 1477.46042 Pure Appl. Funct. Anal. 5, No. 5, 1153-1165 (2020). MSC: 46E35 26B30 26D10 42B20 49J45 PDFBibTeX XMLCite \textit{A. Mallick} and \textit{H.-M. Nguyen}, Pure Appl. Funct. Anal. 5, No. 5, 1153--1165 (2020; Zbl 1477.46042) Full Text: arXiv Link
Lewis, Andrew D. Nonholonomic and constrained variational mechanics. (English) Zbl 1476.70057 J. Geom. Mech. 12, No. 2, 165-308 (2020); erratum ibid. 12, No. 4, 671-675 (2020). MSC: 70F25 70G45 34C45 46E35 49K05 53C05 53C17 PDFBibTeX XMLCite \textit{A. D. Lewis}, J. Geom. Mech. 12, No. 2, 165--308 (2020; Zbl 1476.70057) Full Text: DOI DOI
Fragalà, Ilaria; Gazzola, Filippo; Sperone, Gianmarco Solenoidal extensions in domains with obstacles: explicit bounds and applications to Navier-Stokes equations. (English) Zbl 1457.35036 Calc. Var. Partial Differ. Equ. 59, No. 6, Paper No. 196, 23 p. (2020). Reviewer: Prince Romeo Mensah (London) MSC: 35Q35 35C05 76D05 46E35 49K20 76F06 PDFBibTeX XMLCite \textit{I. Fragalà} et al., Calc. Var. Partial Differ. Equ. 59, No. 6, Paper No. 196, 23 p. (2020; Zbl 1457.35036) Full Text: DOI arXiv
Boccardo, Lucio; Leone, Chiara T-minima on convex sets and Mosco-convergence. (English) Zbl 1461.49009 Rend. Mat. Appl., VII. Ser. 41, No. 3-4, 223-236 (2020). MSC: 49J35 49J45 46E35 49J27 PDFBibTeX XMLCite \textit{L. Boccardo} and \textit{C. Leone}, Rend. Mat. Appl., VII. Ser. 41, No. 3--4, 223--236 (2020; Zbl 1461.49009) Full Text: Link
McCann, Robert J.; Pass, Brendan Optimal transportation between unequal dimensions. (English) Zbl 1450.49022 Arch. Ration. Mech. Anal. 238, No. 3, 1475-1520 (2020). MSC: 49Q22 26B30 46G05 26B40 46E35 PDFBibTeX XMLCite \textit{R. J. McCann} and \textit{B. Pass}, Arch. Ration. Mech. Anal. 238, No. 3, 1475--1520 (2020; Zbl 1450.49022) Full Text: DOI arXiv
Chambolle, Antonin; Novaga, Matteo; Pagliari, Valerio On the convergence rate of some nonlocal energies. (English) Zbl 1462.46034 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 200, Article ID 112016, 22 p. (2020). MSC: 46E35 49J45 35J20 49J40 PDFBibTeX XMLCite \textit{A. Chambolle} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 200, Article ID 112016, 22 p. (2020; Zbl 1462.46034) Full Text: DOI arXiv
Bal, Kaushik; Mohanta, Kaushik; Roy, Prosenjit Bourgain-Brezis-Mironescu domains. (English) Zbl 1461.46027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 199, Article ID 111928, 9 p. (2020). MSC: 46E35 26A33 49J52 54C35 PDFBibTeX XMLCite \textit{K. Bal} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 199, Article ID 111928, 9 p. (2020; Zbl 1461.46027) Full Text: DOI arXiv
Brezis, Haïm; Nguyen, Hoai-Minh \(\Gamma\)-convergence of non-local, non-convex functionals in one dimension. (English) Zbl 1447.49022 Commun. Contemp. Math. 22, No. 7, Article ID 1950077, 27 p. (2020). Reviewer: Stepan Agop Tersian (Rousse) MSC: 49J45 26B30 46E35 PDFBibTeX XMLCite \textit{H. Brezis} and \textit{H.-M. Nguyen}, Commun. Contemp. Math. 22, No. 7, Article ID 1950077, 27 p. (2020; Zbl 1447.49022) Full Text: DOI arXiv
Tu, Qiang; Wu, Chuanxi Functions of bounded higher variation in the fractional Sobolev spaces. (English) Zbl 1448.49009 Commun. Contemp. Math. 22, No. 7, Article ID 1950056, 24 p. (2020). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 49J27 49Q20 49Q15 46E35 PDFBibTeX XMLCite \textit{Q. Tu} and \textit{C. Wu}, Commun. Contemp. Math. 22, No. 7, Article ID 1950056, 24 p. (2020; Zbl 1448.49009) Full Text: DOI
Tasso, Emanuele On the continuity of the trace operator in GSBV\((\Omega)\) and GSBD\((\Omega)\). (English) Zbl 1453.46036 ESAIM, Control Optim. Calc. Var. 26, Paper No. 30, 34 p. (2020). MSC: 46E35 49Q20 26A45 26B30 PDFBibTeX XMLCite \textit{E. Tasso}, ESAIM, Control Optim. Calc. Var. 26, Paper No. 30, 34 p. (2020; Zbl 1453.46036) Full Text: DOI Link
Vogt, Hendrik; Voigt, Jürgen On Hausdorff measure and an inequality due to Maz’ya. (English) Zbl 1437.49060 Arch. Math. 114, No. 5, 573-583 (2020). Reviewer: George Stoica (Saint John) MSC: 49Q15 28A75 46E35 PDFBibTeX XMLCite \textit{H. Vogt} and \textit{J. Voigt}, Arch. Math. 114, No. 5, 573--583 (2020; Zbl 1437.49060) Full Text: DOI arXiv
Ambrosio, Vincenzo On some convergence results for fractional periodic Sobolev spaces. (English) Zbl 1450.46016 Opusc. Math. 40, No. 1, 5-20 (2020). Reviewer: Raymond Johnson (Columbia) MSC: 46E35 42B05 49J45 PDFBibTeX XMLCite \textit{V. Ambrosio}, Opusc. Math. 40, No. 1, 5--20 (2020; Zbl 1450.46016) Full Text: DOI
Antonucci, Clara; Gobbino, Massimo; Picenni, Nicola On the gap between the gamma-limit and the pointwise limit for a nonlocal approximation of the total variation. (English) Zbl 1444.49008 Anal. PDE 13, No. 3, 627-649 (2020). MSC: 49J45 26B30 46E35 PDFBibTeX XMLCite \textit{C. Antonucci} et al., Anal. PDE 13, No. 3, 627--649 (2020; Zbl 1444.49008) Full Text: DOI arXiv
Foghem Gounoue, Guy Fabrice; Kassmann, Moritz; Voigt, Paul Mosco convergence of nonlocal to local quadratic forms. (English) Zbl 1437.49027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 193, Article ID 111504, 22 p. (2020). Reviewer: Stepan Agop Tersian (Rousse) MSC: 49J45 28A80 35J20 35J92 46B10 46E35 47A07 49J40 PDFBibTeX XMLCite \textit{G. F. Foghem Gounoue} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 193, Article ID 111504, 22 p. (2020; Zbl 1437.49027) Full Text: DOI arXiv
De Filippis, Cristiana; Mingione, Giuseppe Manifold constrained non-uniformly elliptic problems. (English) Zbl 1437.49008 J. Geom. Anal. 30, No. 2, 1661-1723 (2020). Reviewer: Andrej V. Plotnikov (Odessa) MSC: 49J27 46E35 PDFBibTeX XMLCite \textit{C. De Filippis} and \textit{G. Mingione}, J. Geom. Anal. 30, No. 2, 1661--1723 (2020; Zbl 1437.49008) Full Text: DOI arXiv