Chen, Shibing; Hu, Shengnan; Liu, Weiru; Zhao, Yiming On the planar Gaussian-Minkowski problem. (English) Zbl 07797713 Adv. Math. 435, Part A, Article ID 109351, 32 p. (2023). MSC: 52A40 52A38 35J96 PDFBibTeX XMLCite \textit{S. Chen} et al., Adv. Math. 435, Part A, Article ID 109351, 32 p. (2023; Zbl 07797713) Full Text: DOI arXiv
Chen, Li; He, Yan; Li, Mingming; Tu, Chengming Complete conformal metrics of negative Ricci curvature in open manifolds. (English) Zbl 07768275 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 237, Article ID 113370, 15 p. (2023). MSC: 35J96 52A39 53A05 PDFBibTeX XMLCite \textit{L. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 237, Article ID 113370, 15 p. (2023; Zbl 07768275) Full Text: DOI
Harvey, Nicholas J. A.; Liaw, Christopher; Perkins, Edwin; Randhawa, Sikander Optimal anytime regret with two experts. (English) Zbl 07761502 Math. Stat. Learn. 6, No. 1-2, 87-142 (2023). MSC: 68Q32 52A20 62C05 PDFBibTeX XMLCite \textit{N. J. A. Harvey} et al., Math. Stat. Learn. 6, No. 1--2, 87--142 (2023; Zbl 07761502) Full Text: DOI arXiv
Blåsten, Emilia; Isozaki, Hiroshi; Lassas, Matti; Lu, Jinpeng Gelfand’s inverse problem for the graph Laplacian. (English) Zbl 1526.05088 J. Spectr. Theory 13, No. 1, 1-45 (2023). MSC: 05C50 52C25 05C22 PDFBibTeX XMLCite \textit{E. Blåsten} et al., J. Spectr. Theory 13, No. 1, 1--45 (2023; Zbl 1526.05088) Full Text: DOI arXiv
Briani, Luca; Bucur, Dorin Mean-to-max ratio of the torsion function and honeycomb structures. (English) Zbl 07716571 Calc. Var. Partial Differ. Equ. 62, No. 7, Paper No. 198, 29 p. (2023). MSC: 52C20 49Q10 49J45 49R05 35P15 35J25 35P99 PDFBibTeX XMLCite \textit{L. Briani} and \textit{D. Bucur}, Calc. Var. Partial Differ. Equ. 62, No. 7, Paper No. 198, 29 p. (2023; Zbl 07716571) Full Text: DOI arXiv
Gu, Qingsong; Huang, Qingzhong Anisotropic versions of the Brezis-Van Schaftingen-Yung approach at \(s = 1\) and \(s = 0\). (English) Zbl 1525.46018 J. Math. Anal. Appl. 525, No. 2, Article ID 127156, 15 p. (2023). MSC: 46E35 52A20 42B20 PDFBibTeX XMLCite \textit{Q. Gu} and \textit{Q. Huang}, J. Math. Anal. Appl. 525, No. 2, Article ID 127156, 15 p. (2023; Zbl 1525.46018) Full Text: DOI arXiv
Kolasiński, Sławomir; Santilli, Mario Regularity of the distance function from arbitrary closed sets. (English) Zbl 1523.46007 Math. Ann. 386, No. 1-2, 735-777 (2023). MSC: 46B20 46G05 52A21 PDFBibTeX XMLCite \textit{S. Kolasiński} and \textit{M. Santilli}, Math. Ann. 386, No. 1--2, 735--777 (2023; Zbl 1523.46007) Full Text: DOI arXiv
Feng, Yibin; Hu, Shengnan; Xu, Lei On the \(L_p\) Gaussian Minkowski problem. (English) Zbl 1514.35182 J. Differ. Equations 363, 350-390 (2023). MSC: 35J60 35J96 52A40 52A38 PDFBibTeX XMLCite \textit{Y. Feng} et al., J. Differ. Equations 363, 350--390 (2023; Zbl 1514.35182) Full Text: DOI arXiv
Hynd, Ryan A doubly monotone flow for constant width bodies in \(\mathbb{R}^3\). (English) Zbl 1522.52017 Indrei, Emanuel (ed.) et al., Geometric and functional inequalities and recent topics in nonlinear PDEs. Virtual conference, Purdue University, West Lafayette, IN, USA, February 28 – March 1, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 781, 49-101 (2023). MSC: 52A38 52A40 47J35 PDFBibTeX XMLCite \textit{R. Hynd}, Contemp. Math. 781, 49--101 (2023; Zbl 1522.52017) Full Text: DOI arXiv
Kondej, S. Bound states asymptotics in the system with quantum wires in \(\mathbb{R}^3\). (English) Zbl 1519.81196 J. Phys. A, Math. Theor. 56, No. 3, Article ID 035202, 20 p. (2023). MSC: 81Q10 35P10 47B25 26A30 11D45 52C30 35P20 PDFBibTeX XMLCite \textit{S. Kondej}, J. Phys. A, Math. Theor. 56, No. 3, Article ID 035202, 20 p. (2023; Zbl 1519.81196) Full Text: DOI
Kagaya, Takashi; Liu, Qing; Mitake, Hiroyoshi Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations. (English) Zbl 1505.35090 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 1, Paper No. 13, 28 p. (2023). MSC: 35D40 35B51 35K15 52A01 PDFBibTeX XMLCite \textit{T. Kagaya} et al., NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 1, Paper No. 13, 28 p. (2023; Zbl 1505.35090) Full Text: DOI arXiv
Henrot, Antoine; Michetti, Marco A comparison between Neumann and Steklov eigenvalues. (English) Zbl 1520.35108 J. Spectr. Theory 12, No. 4, 1405-1442 (2022). MSC: 35P15 35J25 49Q10 49R05 52A40 PDFBibTeX XMLCite \textit{A. Henrot} and \textit{M. Michetti}, J. Spectr. Theory 12, No. 4, 1405--1442 (2022; Zbl 1520.35108) Full Text: DOI arXiv
Enciso, Alberto; Gómez-Serrano, Javier Spectral determination of semi-regular polygons. (English) Zbl 07690273 J. Differ. Geom. 122, No. 3, 399-419 (2022). Reviewer: Jian Lu (Guangzhou) MSC: 53A35 58J50 52A10 PDFBibTeX XMLCite \textit{A. Enciso} and \textit{J. Gómez-Serrano}, J. Differ. Geom. 122, No. 3, 399--419 (2022; Zbl 07690273) Full Text: DOI arXiv Link
Hug, Daniel; Santilli, Mario Curvature measures and soap bubbles beyond convexity. (English) Zbl 1503.49034 Adv. Math. 411, Part A, Article ID 108802, 89 p. (2022). MSC: 49Q10 52A30 52A21 53C45 53C60 53C65 28A75 26B25 PDFBibTeX XMLCite \textit{D. Hug} and \textit{M. Santilli}, Adv. Math. 411, Part A, Article ID 108802, 89 p. (2022; Zbl 1503.49034) Full Text: DOI arXiv
Ishige, Kazuhiro; Salani, Paolo; Takatsu, Asuka Power concavity for elliptic and parabolic boundary value problems on rotationally symmetric domains. (English) Zbl 1501.35020 Commun. Contemp. Math. 24, No. 9, Article ID 2150097, 29 p. (2022). MSC: 35B07 35J25 35K20 35K58 58J32 52A55 PDFBibTeX XMLCite \textit{K. Ishige} et al., Commun. Contemp. Math. 24, No. 9, Article ID 2150097, 29 p. (2022; Zbl 1501.35020) Full Text: DOI arXiv
Del Nin, Giacomo; Petrache, Mircea Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings. (English) Zbl 1504.52019 Calc. Var. Partial Differ. Equ. 61, No. 6, Paper No. 226, 44 p. (2022). MSC: 52C23 49Q20 49J45 49Q10 52B11 52C07 52C22 PDFBibTeX XMLCite \textit{G. Del Nin} and \textit{M. Petrache}, Calc. Var. Partial Differ. Equ. 61, No. 6, Paper No. 226, 44 p. (2022; Zbl 1504.52019) Full Text: DOI arXiv
Glaudo, F. Minkowski inequality for nearly spherical domains. (English) Zbl 1497.51012 Adv. Math. 408, Part B, Article ID 108595, 33 p. (2022). MSC: 51M16 52A40 52A38 53C42 53E10 PDFBibTeX XMLCite \textit{F. Glaudo}, Adv. Math. 408, Part B, Article ID 108595, 33 p. (2022; Zbl 1497.51012) Full Text: DOI arXiv
Mui, Stephanie On the \(L^p\) Aleksandrov problem for negative \(p\). (English) Zbl 1497.52005 Adv. Math. 408, Part A, Article ID 108573, 26 p. (2022). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 52A20 52A38 52A40 35J20 PDFBibTeX XMLCite \textit{S. Mui}, Adv. Math. 408, Part A, Article ID 108573, 26 p. (2022; Zbl 1497.52005) Full Text: DOI
Fillman, Jake; Liu, Wencai; Matos, Rodrigo Irreducibility of the Bloch variety for finite-range Schrödinger operators. (English) Zbl 1507.81093 J. Funct. Anal. 283, No. 10, Article ID 109670, 22 p. (2022). MSC: 81Q10 35J10 30H30 33E15 39A23 52B20 PDFBibTeX XMLCite \textit{J. Fillman} et al., J. Funct. Anal. 283, No. 10, Article ID 109670, 22 p. (2022; Zbl 1507.81093) Full Text: DOI arXiv
Xia, Chao; Yin, Jiabin The anisotropic \(p\)-capacity and the anisotropic Minkowski inequality. (English) Zbl 1491.53052 Sci. China, Math. 65, No. 3, 559-582 (2022). MSC: 53C21 31C15 52A39 49Q10 PDFBibTeX XMLCite \textit{C. Xia} and \textit{J. Yin}, Sci. China, Math. 65, No. 3, 559--582 (2022; Zbl 1491.53052) Full Text: DOI arXiv
Bourne, David P.; Egan, Charlie P.; Pelloni, Beatrice; Wilkinson, Mark Semi-discrete optimal transport methods for the semi-geostrophic equations. (English) Zbl 1509.35318 Calc. Var. Partial Differ. Equ. 61, No. 1, Paper No. 39, 34 p. (2022). MSC: 35Q86 35Q49 86A10 76U65 76D05 35A01 35A35 35D30 35B65 35A24 65L06 65M12 65K10 52C22 49Q22 PDFBibTeX XMLCite \textit{D. P. Bourne} et al., Calc. Var. Partial Differ. Equ. 61, No. 1, Paper No. 39, 34 p. (2022; Zbl 1509.35318) Full Text: DOI arXiv
Akman, Murat; Gong, Jasun; Hineman, Jay; Lewis, John; Vogel, Andrew The Brunn-Minkowski inequality and a Minkowski problem for nonlinear capacity. (English) Zbl 1483.35093 Memoirs of the American Mathematical Society 1348. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5052-6/pbk; 978-1-4704-7014-2/ebook). vi, 115 p. (2022). Reviewer: Mariana Vega Smit (Bellingham) MSC: 35J60 31B15 39B62 52A40 35J20 52A20 35J92 PDFBibTeX XMLCite \textit{M. Akman} et al., The Brunn-Minkowski inequality and a Minkowski problem for nonlinear capacity. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 1483.35093) Full Text: DOI arXiv Link
Liu, Jiaqian The \(L_p\)-Gaussian Minkowski problem. (English) Zbl 1480.52006 Calc. Var. Partial Differ. Equ. 61, No. 1, Paper No. 28, 23 p. (2022). Reviewer: Sorin-Mihai Grad (Paris) MSC: 52A40 52A38 35J96 PDFBibTeX XMLCite \textit{J. Liu}, Calc. Var. Partial Differ. Equ. 61, No. 1, Paper No. 28, 23 p. (2022; Zbl 1480.52006) Full Text: DOI arXiv
Greenfeld, Rachel; Tao, Terence The structure of translational tilings in \(\mathbb{Z}^d\). (English) Zbl 1482.05036 Discrete Anal. 2021, Paper No. 16, 28 p. (2021). MSC: 05B45 52C22 52C25 52C45 PDFBibTeX XMLCite \textit{R. Greenfeld} and \textit{T. Tao}, Discrete Anal. 2021, Paper No. 16, 28 p. (2021; Zbl 1482.05036) Full Text: DOI arXiv
Duy, Nguyen Tuan; Lam, Nguyen; Le, Phi Long Sharp affine Trudinger-Moser inequalities: a new argument. (English) Zbl 1490.46031 Can. Math. Bull. 64, No. 4, 765-778 (2021). MSC: 46E35 35A23 52A40 PDFBibTeX XMLCite \textit{N. T. Duy} et al., Can. Math. Bull. 64, No. 4, 765--778 (2021; Zbl 1490.46031) Full Text: DOI
Chen, Li; Shang, Agen; Tu, Qiang A class of prescribed Weingarten curvature equations in Euclidean space. (English) Zbl 1479.35503 Commun. Partial Differ. Equations 46, No. 7, 1326-1343 (2021). MSC: 35J96 52A39 53A05 35A01 PDFBibTeX XMLCite \textit{L. Chen} et al., Commun. Partial Differ. Equations 46, No. 7, 1326--1343 (2021; Zbl 1479.35503) Full Text: DOI arXiv
Santilli, Mario Distance functions with dense singular sets. (English) Zbl 1477.35069 Commun. Partial Differ. Equations 46, No. 7, 1319-1325 (2021). MSC: 35D40 35F21 52A20 PDFBibTeX XMLCite \textit{M. Santilli}, Commun. Partial Differ. Equations 46, No. 7, 1319--1325 (2021; Zbl 1477.35069) Full Text: DOI arXiv
Chen, Li; Tu, Qiang; Xiao, Kang Horo-convex hypersurfaces with prescribed shifted Gauss curvatures in \(\pmb{\mathbb{H}}^{n+1}\). (English) Zbl 1482.35103 J. Geom. Anal. 31, No. 6, 6349-6364 (2021). Reviewer: Igor G. Nikolaev (Urbana) MSC: 35J96 52A39 53A05 PDFBibTeX XMLCite \textit{L. Chen} et al., J. Geom. Anal. 31, No. 6, 6349--6364 (2021; Zbl 1482.35103) Full Text: DOI arXiv
Della Pietra, Francesco; Gavitone, Nunzia; Xia, Chao Symmetrization with respect to mixed volumes. (English) Zbl 1469.35008 Adv. Math. 388, Article ID 107887, 31 p. (2021). MSC: 35A23 35B51 35J25 52A39 PDFBibTeX XMLCite \textit{F. Della Pietra} et al., Adv. Math. 388, Article ID 107887, 31 p. (2021; Zbl 1469.35008) Full Text: DOI arXiv
Huang, Yong; Xi, Dongmeng; Zhao, Yiming The Minkowski problem in Gaussian probability space. (English) Zbl 1466.52010 Adv. Math. 385, Article ID 107769, 36 p. (2021). Reviewer: George Stoica (Saint John) MSC: 52A40 52A38 35J96 PDFBibTeX XMLCite \textit{Y. Huang} et al., Adv. Math. 385, Article ID 107769, 36 p. (2021; Zbl 1466.52010) Full Text: DOI arXiv
Du, Shi-Zhong On the planar \(L_p\)-Minkowski problem. (English) Zbl 1465.35153 J. Differ. Equations 287, 37-77 (2021). MSC: 35J20 35J60 52A40 PDFBibTeX XMLCite \textit{S.-Z. Du}, J. Differ. Equations 287, 37--77 (2021; Zbl 1465.35153) Full Text: DOI arXiv
Csató, Gyula; Nguyen, Van Hoang; Roy, Prosenjit Extremals for the singular Moser-Trudinger inequality via n-harmonic transplantation. (English) Zbl 1465.46035 J. Differ. Equations 270, 843-882 (2021). MSC: 46E35 26D10 52A40 PDFBibTeX XMLCite \textit{G. Csató} et al., J. Differ. Equations 270, 843--882 (2021; Zbl 1465.46035) Full Text: DOI arXiv
Hansen, G.; Herburt, I.; Martini, H.; Moszyńska, M. Starshaped sets. (English) Zbl 1454.52001 Aequationes Math. 94, No. 6, 1001-1092 (2020). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 52-02 52A30 PDFBibTeX XMLCite \textit{G. Hansen} et al., Aequationes Math. 94, No. 6, 1001--1092 (2020; Zbl 1454.52001) Full Text: DOI
Petrache, Mircea; Serfaty, Sylvia Crystallization for Coulomb and Riesz interactions as a consequence of the Cohn-Kumar conjecture. (English) Zbl 1439.52025 Proc. Am. Math. Soc. 148, No. 7, 3047-3057 (2020). MSC: 52C35 52C99 82C05 82C22 11H06 11H31 PDFBibTeX XMLCite \textit{M. Petrache} and \textit{S. Serfaty}, Proc. Am. Math. Soc. 148, No. 7, 3047--3057 (2020; Zbl 1439.52025) Full Text: DOI arXiv
Bianchi, Gabriele; Böröczky, Károly J.; Colesanti, Andrea Smoothness in the \(L_p\) Minkowski problem for \(p<1\). (English) Zbl 1445.52005 J. Geom. Anal. 30, No. 1, 680-705 (2020). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A40 35J96 PDFBibTeX XMLCite \textit{G. Bianchi} et al., J. Geom. Anal. 30, No. 1, 680--705 (2020; Zbl 1445.52005) Full Text: DOI arXiv
Crasta, Graziano; Fragalà, Ilaria The Brunn-Minkowski inequality for the principal eigenvalue of fully nonlinear homogeneous elliptic operators. (English) Zbl 1432.49031 Adv. Math. 359, Article ID 106855, 24 p. (2020). Reviewer: Petr Tomiczek (Plzeň) MSC: 49K20 49Q10 35J60 35P15 47J10 26A51 52A20 39B62 PDFBibTeX XMLCite \textit{G. Crasta} and \textit{I. Fragalà}, Adv. Math. 359, Article ID 106855, 24 p. (2020; Zbl 1432.49031) Full Text: DOI arXiv
Böröczky, Károly J.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong; Zhao, Yiming The dual Minkowski problem for symmetric convex bodies. (English) Zbl 1427.52006 Adv. Math. 356, Article ID 106805, 30 p. (2019). Reviewer: Sorin-Mihai Grad (Vienna) MSC: 52A20 49Q15 PDFBibTeX XMLCite \textit{K. J. Böröczky} et al., Adv. Math. 356, Article ID 106805, 30 p. (2019; Zbl 1427.52006) Full Text: DOI arXiv
Huang, Yong; Jiang, Yongsheng Variational characterization for the planar dual Minkowski problem. (English) Zbl 1421.52009 J. Funct. Anal. 277, No. 7, 2209-2236 (2019). Reviewer: Sorin-Mihai Grad (Vienna) MSC: 52A38 35J20 49J40 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{Y. Jiang}, J. Funct. Anal. 277, No. 7, 2209--2236 (2019; Zbl 1421.52009) Full Text: DOI
Chen, Chuanqiang; Huang, Yong; Zhao, Yiming Smooth solutions to the \(L_p\) dual Minkowski problem. (English) Zbl 1417.52008 Math. Ann. 373, No. 3-4, 953-976 (2019). Reviewer: George Stoica (Saint John) MSC: 52A38 35J20 PDFBibTeX XMLCite \textit{C. Chen} et al., Math. Ann. 373, No. 3--4, 953--976 (2019; Zbl 1417.52008) Full Text: DOI
Bucur, Dorin; Fragalà, Ilaria On the honeycomb conjecture for Robin Laplacian eigenvalues. (English) Zbl 1414.49044 Commun. Contemp. Math. 21, No. 2, Article ID 1850007, 29 p. (2019). Reviewer: Denis Borisov (Ufa) MSC: 49Q10 52C20 51M16 65N25 35J20 35J25 35P15 49R05 PDFBibTeX XMLCite \textit{D. Bucur} and \textit{I. Fragalà}, Commun. Contemp. Math. 21, No. 2, Article ID 1850007, 29 p. (2019; Zbl 1414.49044) Full Text: DOI arXiv
Henrot, Antoine; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina Optimal concavity of the torsion function. (English) Zbl 1400.35190 J. Optim. Theory Appl. 178, No. 1, 26-35 (2018). MSC: 35N25 35R25 35R30 35B06 52A40 PDFBibTeX XMLCite \textit{A. Henrot} et al., J. Optim. Theory Appl. 178, No. 1, 26--35 (2018; Zbl 1400.35190) Full Text: DOI arXiv
Chen, Shibing; Li, Qi-Rui On the planar dual Minkowski problem. (English) Zbl 1397.52002 Adv. Math. 333, 87-117 (2018). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 52A10 52A39 53A04 PDFBibTeX XMLCite \textit{S. Chen} and \textit{Q.-R. Li}, Adv. Math. 333, 87--117 (2018; Zbl 1397.52002) Full Text: DOI
Yang, Yunlong; Zhang, Deyan Deforming a convex domain into a disk by Klain’s cyclic rearrangement. (English) Zbl 1390.52006 Bull. Aust. Math. Soc. 97, No. 2, 313-319 (2018). Reviewer: Marek Lassak (Bydgoszcz) MSC: 52A10 52A40 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{D. Zhang}, Bull. Aust. Math. Soc. 97, No. 2, 313--319 (2018; Zbl 1390.52006) Full Text: DOI
De Nápoli, P. L.; Haddad, J.; Jiménez, C. H.; Montenegro, M. The sharp affine \(L^2\) Sobolev trace inequality and variants. (English) Zbl 1390.46036 Math. Ann. 370, No. 1-2, 287-308 (2018). Reviewer: George Stoica (Saint John) MSC: 46E35 46E39 52A40 PDFBibTeX XMLCite \textit{P. L. De Nápoli} et al., Math. Ann. 370, No. 1--2, 287--308 (2018; Zbl 1390.46036) Full Text: DOI arXiv
Serre, Denis The role of the Hilbert metric in a class of singular elliptic boundary value problems in convex domains. (English) Zbl 1400.35132 Confluentes Math. 9, No. 1, 105-117 (2017). MSC: 35J75 52A99 PDFBibTeX XMLCite \textit{D. Serre}, Confluentes Math. 9, No. 1, 105--117 (2017; Zbl 1400.35132) Full Text: DOI arXiv
Coll, Vincent; Dodd, Jeff; Harrison, Michael The Archimedean projection property. (English) Zbl 1386.53007 Adv. Geom. 17, No. 3, 363-372 (2017). MSC: 53A07 52A38 52A20 PDFBibTeX XMLCite \textit{V. Coll} et al., Adv. Geom. 17, No. 3, 363--372 (2017; Zbl 1386.53007) Full Text: DOI arXiv
Ngô, Quoc Anh; Nguyen, Van Hoang Sharp reversed Hardy-Littlewood-Sobolev inequality on \(\mathbf{R}^{n}\). (English) Zbl 1379.26027 Isr. J. Math. 220, No. 1, 189-223 (2017). Reviewer: László Losonczi (Debrecen) MSC: 26D15 52A40 PDFBibTeX XMLCite \textit{Q. A. Ngô} and \textit{V. H. Nguyen}, Isr. J. Math. 220, No. 1, 189--223 (2017; Zbl 1379.26027) Full Text: DOI arXiv
Emako-Kazianou, Casimir; Liao, Jie; Vauchelet, Nicolas Synchronising and non-synchronising dynamics for a two-species aggregation model. (English) Zbl 1366.35198 Discrete Contin. Dyn. Syst., Ser. B 22, No. 6, 2121-2146 (2017). MSC: 35Q92 35D30 45K05 65M08 92D25 35B44 52C17 PDFBibTeX XMLCite \textit{C. Emako-Kazianou} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 6, 2121--2146 (2017; Zbl 1366.35198) Full Text: DOI arXiv
Benamou, Jean-David; Carlier, Guillaume; Mérigot, Quentin; Oudet, Édouard Discretization of functionals involving the Monge-Ampère operator. (English) Zbl 1354.49061 Numer. Math. 134, No. 3, 611-636 (2016). MSC: 49M25 49Q20 52B55 PDFBibTeX XMLCite \textit{J.-D. Benamou} et al., Numer. Math. 134, No. 3, 611--636 (2016; Zbl 1354.49061) Full Text: DOI arXiv
Thomas, Marita Uniform Poincaré-Sobolev and isoperimetric inequalities for classes of domains. (English) Zbl 1348.46043 Discrete Contin. Dyn. Syst. 35, No. 6, 2741-2761 (2015). MSC: 46E35 26D10 52A38 PDFBibTeX XMLCite \textit{M. Thomas}, Discrete Contin. Dyn. Syst. 35, No. 6, 2741--2761 (2015; Zbl 1348.46043) Full Text: DOI
Colesanti, A.; Nyström, K.; Salani, P.; Xiao, J.; Yang, D.; Zhang, G. The Hadamard variational formula and the Minkowski problem for \(p\)-capacity. (English) Zbl 1327.31024 Adv. Math. 285, 1511-1588 (2015). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31C45 52A20 35J60 PDFBibTeX XMLCite \textit{A. Colesanti} et al., Adv. Math. 285, 1511--1588 (2015; Zbl 1327.31024) Full Text: DOI
Ma, Xi-Nan; Zhang, Yongbing The convexity and the Gaussian curvature estimates for the level sets of harmonic functions on convex rings in space forms. (English) Zbl 1327.35078 J. Geom. Anal. 24, No. 1, 337-374 (2014). Reviewer: Adriana Nicolae (Cluj-Napoca) MSC: 35J05 53C21 52A20 PDFBibTeX XMLCite \textit{X.-N. Ma} and \textit{Y. Zhang}, J. Geom. Anal. 24, No. 1, 337--374 (2014; Zbl 1327.35078) Full Text: DOI
Barron, E. N.; Jensen, R. R. A uniqueness result for the quasiconvex operator and first order PDEs for convex envelopes. (English) Zbl 1302.35104 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 2, 203-215 (2014). MSC: 35D40 52A41 PDFBibTeX XMLCite \textit{E. N. Barron} and \textit{R. R. Jensen}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 2, 203--215 (2014; Zbl 1302.35104) Full Text: DOI Numdam
Huesmann, Martin; Sturm, Karl-Theodor Optimal transport from Lebesgue to Poisson. (English) Zbl 1279.60024 Ann. Probab. 41, No. 4, 2426-2478 (2013). Reviewer: Ludger Rüschendorf (Freiburg i. Br.) MSC: 60D05 52A22 49Q20 PDFBibTeX XMLCite \textit{M. Huesmann} and \textit{K.-T. Sturm}, Ann. Probab. 41, No. 4, 2426--2478 (2013; Zbl 1279.60024) Full Text: DOI arXiv Euclid
Alonso-Gutiérrez, David; Bastero, Jesús; Bernués, Julio Factoring Sobolev inequalities through classes of functions. (English) Zbl 1279.46023 Proc. Am. Math. Soc. 140, No. 10, 3557-3566 (2012). Reviewer: Stanisław Wedrychowicz (Rzeszów) MSC: 46E35 46E30 26D10 52A40 PDFBibTeX XMLCite \textit{D. Alonso-Gutiérrez} et al., Proc. Am. Math. Soc. 140, No. 10, 3557--3566 (2012; Zbl 1279.46023) Full Text: DOI arXiv
Arena, G.; Caruso, A. O.; Monti, R. Regularity properties of \(H\)-convex sets. (English) Zbl 1262.32014 J. Geom. Anal. 22, No. 2, 583-602 (2012). Reviewer: Paweł Walczak (Łódź) MSC: 32F99 52A99 22E25 PDFBibTeX XMLCite \textit{G. Arena} et al., J. Geom. Anal. 22, No. 2, 583--602 (2012; Zbl 1262.32014) Full Text: DOI
Sandier, Etienne; Serfaty, Sylvia From the Ginzburg-Landau model to vortex lattice problems. (English) Zbl 1252.35034 Commun. Math. Phys. 313, No. 3, 635-743 (2012). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35B25 82D55 35J20 52C17 PDFBibTeX XMLCite \textit{E. Sandier} and \textit{S. Serfaty}, Commun. Math. Phys. 313, No. 3, 635--743 (2012; Zbl 1252.35034) Full Text: DOI arXiv
Caffarelli, Luis A.; Crandall, Michael G. The problem of two sticks. (English) Zbl 1257.46009 Expo. Math. 30, No. 1, 69-95 (2012). Reviewer: David Yost (Ballarat) MSC: 46B20 52A21 35Q60 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{M. G. Crandall}, Expo. Math. 30, No. 1, 69--95 (2012; Zbl 1257.46009) Full Text: DOI arXiv
Salani, Paolo Convexity of solutions and Brunn-Minkowski inequalities for Hessian equations in \(\mathbb{R}^3\). (English) Zbl 1247.35034 Adv. Math. 229, No. 3, 1924-1948 (2012). Reviewer: Marcelo Furtado (Brasília) MSC: 35J60 39B62 47J05 52A40 52C25 PDFBibTeX XMLCite \textit{P. Salani}, Adv. Math. 229, No. 3, 1924--1948 (2012; Zbl 1247.35034) Full Text: DOI arXiv
Xu, Lu A microscopic convexity theorem of level sets for solutions to elliptic equations. (English) Zbl 1205.35111 Calc. Var. Partial Differ. Equ. 40, No. 1-2, 51-63 (2011). MSC: 35J62 35E10 52A40 35A30 PDFBibTeX XMLCite \textit{L. Xu}, Calc. Var. Partial Differ. Equ. 40, No. 1--2, 51--63 (2011; Zbl 1205.35111) Full Text: DOI
Rubin, Boris Comparison of volumes of convex bodies in real, complex, and quaternionic spaces. (English) Zbl 1203.44001 Adv. Math. 225, No. 3, 1461-1498 (2010). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 44A12 52A38 PDFBibTeX XMLCite \textit{B. Rubin}, Adv. Math. 225, No. 3, 1461--1498 (2010; Zbl 1203.44001) Full Text: DOI arXiv
Capogna, Luca; Pauls, Scott D.; Tyson, Jeremy T. Convexity and horizontal second fundamental forms for hypersurfaces in Carnot groups. (English) Zbl 1203.43007 Trans. Am. Math. Soc. 362, No. 8, 4045-4062 (2010). Reviewer: Richard Bödi (Rüschlikon) MSC: 43A80 22E30 35H20 52A41 53A35 53C17 PDFBibTeX XMLCite \textit{L. Capogna} et al., Trans. Am. Math. Soc. 362, No. 8, 4045--4062 (2010; Zbl 1203.43007) Full Text: DOI
Martinez-Maure, Yves New notion of index for hedgehogs of \(\mathbb R^3\) and applications. (English) Zbl 1196.52005 Eur. J. Comb. 31, No. 4, 1037-1049 (2010). Reviewer: Eike Hertel (Jena) MSC: 52A30 52A15 53A05 PDFBibTeX XMLCite \textit{Y. Martinez-Maure}, Eur. J. Comb. 31, No. 4, 1037--1049 (2010; Zbl 1196.52005) Full Text: DOI
Rubin, Boris The lower dimensional Busemann-Petty problem for bodies with the generalized axial symmetry. (English) Zbl 1190.52007 Isr. J. Math. 173, 213-233 (2009). Reviewer: Salvador Gomis (Alicante) MSC: 52A40 52A20 52A30 52A39 PDFBibTeX XMLCite \textit{B. Rubin}, Isr. J. Math. 173, 213--233 (2009; Zbl 1190.52007) Full Text: DOI arXiv
Oberman, Adam M. Computing the convex envelope using a nonlinear partial differential equation. (English) Zbl 1154.35056 Math. Models Methods Appl. Sci. 18, No. 5, 759-780 (2008). Reviewer: Nicolae Pop (Baia Mare) MSC: 35J70 26B25 52A41 65N06 PDFBibTeX XMLCite \textit{A. M. Oberman}, Math. Models Methods Appl. Sci. 18, No. 5, 759--780 (2008; Zbl 1154.35056) Full Text: DOI
Cianchi, Andrea; Esposito, Luca; Fusco, Nicola; Trombetti, Cristina A quantitative Pólya-Szegő principle. (English) Zbl 1175.46021 J. Reine Angew. Math. 614, 153-189 (2008). Reviewer: Salvador Gomis (Alicante) MSC: 46E35 52A40 PDFBibTeX XMLCite \textit{A. Cianchi} et al., J. Reine Angew. Math. 614, 153--189 (2008; Zbl 1175.46021) Full Text: DOI
Longinetti, Marco; Salani, Paolo On the Hessian matrix and Minkowski addition of quasiconvex functions. (English) Zbl 1144.26017 J. Math. Pures Appl. (9) 88, No. 3, 276-292 (2007). Reviewer: József Sándor (Cluj-Napoca) MSC: 26B25 35J60 39B62 52A41 PDFBibTeX XMLCite \textit{M. Longinetti} and \textit{P. Salani}, J. Math. Pures Appl. (9) 88, No. 3, 276--292 (2007; Zbl 1144.26017) Full Text: DOI
Oberman, Adam M. The convex envelope is the solution of a nonlinear obstacle problem. (English) Zbl 1190.35107 Proc. Am. Math. Soc. 135, No. 6, 1689-1694 (2007). MSC: 35J70 52A41 93E20 65N06 PDFBibTeX XMLCite \textit{A. M. Oberman}, Proc. Am. Math. Soc. 135, No. 6, 1689--1694 (2007; Zbl 1190.35107) Full Text: DOI
Calogero, A.; Carcano, G.; Pini, R. Optimization in the Heisenberg group. (English) Zbl 1141.90030 Optimization 55, No. 4, 387-403 (2006). MSC: 90C26 22E25 52C22 PDFBibTeX XMLCite \textit{A. Calogero} et al., Optimization 55, No. 4, 387--403 (2006; Zbl 1141.90030) Full Text: DOI
Capogna, Luca; Maldonado, Diego A note on the engulfing property and the \(\Gamma^{1+ \alpha}\)-regularity of convex functions in Carnot groups. (English) Zbl 1109.35028 Proc. Am. Math. Soc. 134, No. 11, 3191-3199 (2006). Reviewer: Marco Biroli (Milano) MSC: 35H20 52A30 35D10 PDFBibTeX XMLCite \textit{L. Capogna} and \textit{D. Maldonado}, Proc. Am. Math. Soc. 134, No. 11, 3191--3199 (2006; Zbl 1109.35028) Full Text: DOI
Colesanti, Andrea; Cuoghi, Paola; Salani, Paolo Brunn-Minkowski inequalities for two functionals involving the \(p\)-Laplace operator. (English) Zbl 1151.52307 Appl. Anal. 85, No. 1-3, 45-66 (2006). MSC: 52A40 26D15 41A17 35J20 35J60 39B62 47J05 52C25 PDFBibTeX XMLCite \textit{A. Colesanti} et al., Appl. Anal. 85, No. 1--3, 45--66 (2006; Zbl 1151.52307) Full Text: DOI
Magnani, Valentino Lipschitz continuity, Aleksandrov theorem and characterizations for \(H\)-convex functions. (English) Zbl 1115.49004 Math. Ann. 334, No. 1, 199-233 (2006). Reviewer: Michele Miranda (Ferrara) MSC: 49J27 26A51 26B25 52A41 PDFBibTeX XMLCite \textit{V. Magnani}, Math. Ann. 334, No. 1, 199--233 (2006; Zbl 1115.49004) Full Text: DOI
Garofalo, Nicola; Tournier, Federico New properties of convex functions in the Heisenberg group. (English) Zbl 1102.35033 Trans. Am. Math. Soc. 358, No. 5, 2011-2055 (2006). Reviewer: Marco Biroli (Milano) MSC: 35H20 26B25 20F18 52A41 PDFBibTeX XMLCite \textit{N. Garofalo} and \textit{F. Tournier}, Trans. Am. Math. Soc. 358, No. 5, 2011--2055 (2006; Zbl 1102.35033) Full Text: DOI
Klassert, Steffen; Lenz, Daniel; Peyerimhoff, Norbert; Stollmann, Peter Elliptic operators on planar graphs: unique continuation for eigenfunctions and nonpositive curvature. (English) Zbl 1094.05016 Proc. Am. Math. Soc. 134, No. 5, 1549-1559 (2006). Reviewer: Jochen Denzler (Knoxville) MSC: 05B45 52C20 81Q10 PDFBibTeX XMLCite \textit{S. Klassert} et al., Proc. Am. Math. Soc. 134, No. 5, 1549--1559 (2006; Zbl 1094.05016) Full Text: DOI arXiv
Salani, Paolo Starshapedness of level sets of solutions to elliptic PDEs. (English) Zbl 1130.35055 Appl. Anal. 84, No. 12, 1185-1197 (2005). MSC: 35J60 35B05 35B30 52A30 PDFBibTeX XMLCite \textit{P. Salani}, Appl. Anal. 84, No. 12, 1185--1197 (2005; Zbl 1130.35055) Full Text: DOI
Colesanti, Andrea Brunn-Minkowski inequalities for variational functionals and related problems. (English) Zbl 1128.35318 Adv. Math. 194, No. 1, 105-140 (2005). MSC: 35J20 52A20 PDFBibTeX XMLCite \textit{A. Colesanti}, Adv. Math. 194, No. 1, 105--140 (2005; Zbl 1128.35318) Full Text: DOI
Colesanti, Andrea; Cuoghi, Paola The Brunn-Minkowski inequality for the \(n\)-dimensional logarithmic capacity of convex bodies. (English) Zbl 1074.31007 Potential Anal. 22, No. 3, 289-304 (2005). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31C15 31B30 52A20 PDFBibTeX XMLCite \textit{A. Colesanti} and \textit{P. Cuoghi}, Potential Anal. 22, No. 3, 289--304 (2005; Zbl 1074.31007) Full Text: DOI
Fuglede, Bent The Dirichlet problem for harmonic maps from Riemannian polyhedra to spaces of upper bounded curvature. (English) Zbl 1061.31008 Trans. Am. Math. Soc. 357, No. 2, 757-792 (2005). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 31C05 58E20 52B70 31C20 PDFBibTeX XMLCite \textit{B. Fuglede}, Trans. Am. Math. Soc. 357, No. 2, 757--792 (2005; Zbl 1061.31008) Full Text: DOI
Bıyıkoğlu, Türker; Hordijk, Wim; Leydold, Josef; Pisanski, Tomaž; Stadler, Peter F. Graph Laplacians, nodal domains, and hyperplane arrangements. (English) Zbl 1050.05081 Linear Algebra Appl. 390, 155-174 (2004). MSC: 05C50 52C35 PDFBibTeX XMLCite \textit{T. Bıyıkoğlu} et al., Linear Algebra Appl. 390, 155--174 (2004; Zbl 1050.05081) Full Text: DOI
Gardner, R. J. The Brunn-Minkowski inequality. (English) Zbl 1019.26008 Bull. Am. Math. Soc., New Ser. 39, No. 3, 355-405 (2002). Reviewer: Laszlo Leindler (Szeged) MSC: 26D15 52A40 PDFBibTeX XMLCite \textit{R. J. Gardner}, Bull. Am. Math. Soc., New Ser. 39, No. 3, 355--405 (2002; Zbl 1019.26008) Full Text: DOI Backlinks: MO MO
Campi, Stefano Stability estimates for star bodies in terms of their intersection bodies. (English) Zbl 0959.52004 Mathematika 45, No. 2, 287-303 (1998). Reviewer: Rolf Schneider (Freiburg i.Br.) MSC: 52A30 52A40 PDFBibTeX XMLCite \textit{S. Campi}, Mathematika 45, No. 2, 287--303 (1998; Zbl 0959.52004) Full Text: DOI
Jerison, David A Minkowski problem for electrostatic capacity. (English) Zbl 0880.35041 Acta Math. 176, No. 1, 1-47 (1996). Reviewer: D.Palagachev (Sofia) MSC: 35J60 49Q20 35B65 52A20 53C21 35J20 PDFBibTeX XMLCite \textit{D. Jerison}, Acta Math. 176, No. 1, 1--47 (1996; Zbl 0880.35041) Full Text: DOI
Franchi, B.; Gallot, S.; Wheeden, R. L. Sobolev and isoperimetric inequalities for degenerate metrics. (English) Zbl 0830.46027 Math. Ann. 300, No. 4, 557-571 (1994). Reviewer: J.Wloka (Kiel) MSC: 46E35 26D15 52A38 31B10 PDFBibTeX XMLCite \textit{B. Franchi} et al., Math. Ann. 300, No. 4, 557--571 (1994; Zbl 0830.46027) Full Text: DOI EuDML
Gardner, R. J. Intersection bodies and the Busemann-Petty problem. (English) Zbl 0801.52005 Trans. Am. Math. Soc. 342, No. 1, 435-445 (1994). Reviewer: R.Schneider (Freiburg i.Br.) MSC: 52A40 53C65 PDFBibTeX XMLCite \textit{R. J. Gardner}, Trans. Am. Math. Soc. 342, No. 1, 435--445 (1994; Zbl 0801.52005) Full Text: DOI
Hansen, W.; Nadirashvili, N. Isoperimetric inequalities in potential theory. (English) Zbl 0796.31003 Potential Anal. 3, No. 1, 1-14 (1994). Reviewer: J.Hersch (Zürich) MSC: 31B15 31A15 52A40 35P15 PDFBibTeX XMLCite \textit{W. Hansen} and \textit{N. Nadirashvili}, Potential Anal. 3, No. 1, 1--14 (1994; Zbl 0796.31003) Full Text: DOI
Tintarev, Kyril Characterization of \(P\)-convexity for supports in terms of tangent curves. (English) Zbl 0801.35011 J. Math. Anal. Appl. 164, No. 2, 590-596 (1992). MSC: 35E20 47F05 35L05 52A30 35E10 PDFBibTeX XMLCite \textit{K. Tintarev}, J. Math. Anal. Appl. 164, No. 2, 590--596 (1992; Zbl 0801.35011) Full Text: DOI
Papadimitrakis, M. On convexity of level curves of harmonic functions in the hyperbolic plane. (English) Zbl 0746.31002 Proc. Am. Math. Soc. 114, No. 3, 695-698 (1992). Reviewer: F.Y.Maeda (Hiroshima) MSC: 31A05 52A55 52A10 PDFBibTeX XMLCite \textit{M. Papadimitrakis}, Proc. Am. Math. Soc. 114, No. 3, 695--698 (1992; Zbl 0746.31002) Full Text: DOI
Sakaguchi, Shigeru Star shaped coincidence sets in the obstacle problem. (English) Zbl 0539.49004 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 11, 123-128 (1984). Reviewer: E.Barron MSC: 49J40 35J85 35R35 52A20 PDFBibTeX XMLCite \textit{S. Sakaguchi}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 11, 123--128 (1984; Zbl 0539.49004) Full Text: Numdam EuDML
Soga, Hideo Oscillatory integrals with degenerate stationary points and their application to the scattering theory. (English) Zbl 0463.35049 Commun. Partial Differ. Equations 6, 273-287 (1981). MSC: 35L05 35P25 42A50 52A15 76Q05 PDFBibTeX XMLCite \textit{H. Soga}, Commun. Partial Differ. Equations 6, 273--287 (1981; Zbl 0463.35049) Full Text: DOI