Lv, Songjun Sharp norm estimates for functional dual affine quermassintegrals. (English) Zbl 07825633 Banach J. Math. Anal. 18, No. 2, Paper No. 10, 20 p. (2024). MSC: 52A39 52A40 PDFBibTeX XMLCite \textit{S. Lv}, Banach J. Math. Anal. 18, No. 2, Paper No. 10, 20 p. (2024; Zbl 07825633) Full Text: DOI
Ferreira Leite, Edir Júnior; Montenegro, Marcos Towards existence theorems to affine \(p\)-Laplace equations via variational approach. (English) Zbl 07819602 Calc. Var. Partial Differ. Equ. 63, No. 3, Paper No. 73, 23 p. (2024). MSC: 35A15 35J20 35J66 PDFBibTeX XMLCite \textit{E. J. Ferreira Leite} and \textit{M. Montenegro}, Calc. Var. Partial Differ. Equ. 63, No. 3, Paper No. 73, 23 p. (2024; Zbl 07819602) Full Text: DOI
Haddad, Julián; Ludwig, Monika Affine fractional \(L^p\) Sobolev inequalities. (English) Zbl 07796292 Math. Ann. 388, No. 1, 1091-1115 (2024). MSC: 46E35 35R11 52A40 PDFBibTeX XMLCite \textit{J. Haddad} and \textit{M. Ludwig}, Math. Ann. 388, No. 1, 1091--1115 (2024; Zbl 07796292) Full Text: DOI arXiv OA License
Li, Wan; Zhu, Baocheng The affine convex Lorentz-Sobolev inequalities. (English) Zbl 07784101 J. Geom. Anal. 34, No. 1, Paper No. 30, 39 p. (2024). MSC: 46E35 PDFBibTeX XMLCite \textit{W. Li} and \textit{B. Zhu}, J. Geom. Anal. 34, No. 1, Paper No. 30, 39 p. (2024; Zbl 07784101) Full Text: DOI
Fang, Niufa; Zhou, Jiazu Projection body and isoperimetric inequalities for \(s\)-concave functions. (English) Zbl 07708674 Chin. Ann. Math., Ser. B 44, No. 3, 465-480 (2023). MSC: 26B25 52A20 26D10 PDFBibTeX XMLCite \textit{N. Fang} and \textit{J. Zhou}, Chin. Ann. Math., Ser. B 44, No. 3, 465--480 (2023; Zbl 07708674) Full Text: DOI
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
Lin, Youjiang; Wu, Yuchi \(k\)-codimensional projection bodies. (English) Zbl 1505.52009 Adv. Appl. Math. 142, Article ID 102435, 26 p. (2023). Reviewer: Martin Henk (Berlin) MSC: 52A40 52A20 46E35 PDFBibTeX XMLCite \textit{Y. Lin} and \textit{Y. Wu}, Adv. Appl. Math. 142, Article ID 102435, 26 p. (2023; Zbl 1505.52009) Full Text: DOI
Fang, Niufa; Wang, Hejun; Zhang, Zengle \(L_p\)-cosine transform of the \((p,q)\)-th dual curvature measure. (English) Zbl 1525.52001 Math. Nachr. 295, No. 12, 2393-2404 (2022). Reviewer: Fabian Mußnig (Wien) MSC: 52A20 52A40 PDFBibTeX XMLCite \textit{N. Fang} et al., Math. Nachr. 295, No. 12, 2393--2404 (2022; Zbl 1525.52001) Full Text: DOI
Wang, He Jun Continuity of the solution to the \(L_p\) Minkowski problem in Gaussian probability space. (English) Zbl 1512.52014 Acta Math. Sin., Engl. Ser. 38, No. 12, 2253-2264 (2022). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A40 52A22 PDFBibTeX XMLCite \textit{H. J. Wang}, Acta Math. Sin., Engl. Ser. 38, No. 12, 2253--2264 (2022; Zbl 1512.52014) 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
Ma, Tongyi \(L_p\)-curvature measures and \(L_{p, q}\)-mixed volumes. (English) Zbl 1502.52009 J. Funct. Spaces 2022, Article ID 3787529, 24 p. (2022). Reviewer: Gaiane Panina (Sankt-Peterburg) MSC: 52A39 PDFBibTeX XMLCite \textit{T. Ma}, J. Funct. Spaces 2022, Article ID 3787529, 24 p. (2022; Zbl 1502.52009) Full Text: DOI
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
Duy, Nguyen Tuan; Phi, Le Long Finsler Trudinger-Moser inequalities on \(\mathbb{R}^2\). (English) Zbl 1496.35018 Sci. China, Math. 65, No. 9, 1803-1826 (2022). MSC: 35A23 26D15 46E35 PDFBibTeX XMLCite \textit{N. T. Duy} and \textit{L. L. Phi}, Sci. China, Math. 65, No. 9, 1803--1826 (2022; Zbl 1496.35018) Full Text: DOI
Lin, Youjiang; Wu, Yuchi The equality cases in Steiner’s projection inequality. (English) Zbl 1501.52006 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 193, 21 p. (2022). Reviewer: Boris Rubin (Baton Rouge) MSC: 52A40 PDFBibTeX XMLCite \textit{Y. Lin} and \textit{Y. Wu}, Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 193, 21 p. (2022; Zbl 1501.52006) Full Text: DOI
Li, Pengtao; Hu, Rui; Zhai, Zhichun Fractional Besov trace/extension-type inequalities via the Caffarelli-Silvestre extension. (English) Zbl 1503.26034 J. Geom. Anal. 32, No. 9, Paper No. 236, 30 p. (2022). MSC: 26D10 30H25 46E35 PDFBibTeX XMLCite \textit{P. Li} et al., J. Geom. Anal. 32, No. 9, Paper No. 236, 30 p. (2022; Zbl 1503.26034) Full Text: DOI arXiv
Lu, Guozhen; Yang, Qiaohua Sharp Hardy-Sobolev-Maz’ya, Adams and Hardy-Adams inequalities on the Siegel domains and complex hyperbolic spaces. (English) Zbl 1496.32053 Adv. Math. 405, Article ID 108512, 62 p. (2022). MSC: 32V05 32V15 32W50 PDFBibTeX XMLCite \textit{G. Lu} and \textit{Q. Yang}, Adv. Math. 405, Article ID 108512, 62 p. (2022; Zbl 1496.32053) Full Text: DOI arXiv
Duy, Nguyen Tuan Some variants of the Hardy inequality. (English) Zbl 1502.26020 Appl. Anal. 101, No. 8, 2878-2885 (2022). MSC: 26D15 26D10 35A23 46E35 PDFBibTeX XMLCite \textit{N. T. Duy}, Appl. Anal. 101, No. 8, 2878--2885 (2022; Zbl 1502.26020) Full Text: DOI
Lin, Youjiang Affine Pólya-Szegő inequality on Steiner rearrangement in any codimension. (English) Zbl 1495.46024 Sci. China, Math. 65, No. 3, 517-538 (2022). MSC: 46E35 46E30 52A40 PDFBibTeX XMLCite \textit{Y. Lin}, Sci. China, Math. 65, No. 3, 517--538 (2022; Zbl 1495.46024) Full Text: DOI
Xing, Sudan; Ye, Deping; Zhu, Baocheng The general dual-polar Orlicz-Minkowski problem. (English) Zbl 1482.52008 J. Geom. Anal. 32, No. 3, Paper No. 91, 40 p. (2022). MSC: 52A20 52A38 52A39 52A40 PDFBibTeX XMLCite \textit{S. Xing} et al., J. Geom. Anal. 32, No. 3, Paper No. 91, 40 p. (2022; Zbl 1482.52008) Full Text: DOI arXiv
Lin, Youjiang; Xi, Dongmeng Orlicz affine isoperimetric inequalities for star bodies. (English) Zbl 1486.52021 Adv. Appl. Math. 134, Article ID 102308, 32 p. (2022). Reviewer: Niufa Fang (Chongqing) MSC: 52A40 PDFBibTeX XMLCite \textit{Y. Lin} and \textit{D. Xi}, Adv. Appl. Math. 134, Article ID 102308, 32 p. (2022; Zbl 1486.52021) Full Text: DOI
Artstein-Avidan, Shiri (ed.); Barthe, Franck (ed.); Ludwig, Monika (ed.) Convex geometry and its applications. Abstracts from the workshop held December 12–18, 2021 (hybrid meeting). (English) Zbl 1506.00039 Oberwolfach Rep. 18, No. 4, 3187-3266 (2021). MSC: 00B05 00B25 52-06 52Axx 68Q25 60D05 PDFBibTeX XMLCite \textit{S. Artstein-Avidan} (ed.) et al., Oberwolfach Rep. 18, No. 4, 3187--3266 (2021; Zbl 1506.00039) Full Text: DOI
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
Wu, Yuchi On complex \(L_p\) affine isoperimetric inequalities. (English) Zbl 1475.52012 Math. Inequal. Appl. 24, No. 3, 655-678 (2021). Reviewer: George Stoica (Saint John) MSC: 52A40 52A20 PDFBibTeX XMLCite \textit{Y. Wu}, Math. Inequal. Appl. 24, No. 3, 655--678 (2021; Zbl 1475.52012) Full Text: DOI
Kniefacz, Philipp; Schuster, Franz E. Sharp Sobolev inequalities via projection averages. (English) Zbl 1483.46030 J. Geom. Anal. 31, No. 7, 7436-7454 (2021). MSC: 46E35 26D15 PDFBibTeX XMLCite \textit{P. Kniefacz} and \textit{F. E. Schuster}, J. Geom. Anal. 31, No. 7, 7436--7454 (2021; Zbl 1483.46030) Full Text: DOI arXiv
Lin, Youjiang The Petty projection inequality for sets of finite perimeter. (English) Zbl 1477.52008 Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 196, 18 p. (2021). Reviewer: Elisabeth Werner (Cleveland) MSC: 52A20 52A40 PDFBibTeX XMLCite \textit{Y. Lin}, Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 196, 18 p. (2021; Zbl 1477.52008) Full Text: DOI arXiv
Li, Jungang; Lu, Guozhen Critical and subcritical Trudinger-Moser inequalities on complete noncompact Riemannian manifolds. (English) Zbl 1482.46040 Adv. Math. 389, Article ID 107915, 36 p. (2021). MSC: 46E35 42B35 53C20 53C21 31C12 PDFBibTeX XMLCite \textit{J. Li} and \textit{G. Lu}, Adv. Math. 389, Article ID 107915, 36 p. (2021; Zbl 1482.46040) Full Text: DOI
Lv, Songjun A functional Busemann intersection inequality. (English) Zbl 1478.52005 J. Geom. Anal. 31, No. 6, 6274-6291 (2021). Reviewer: Marek Lassak (Bydgoszcz) MSC: 52A40 26D15 PDFBibTeX XMLCite \textit{S. Lv}, J. Geom. Anal. 31, No. 6, 6274--6291 (2021; Zbl 1478.52005) Full Text: DOI
Fang, Niu Fa; Zhou, Jia Zu On the mixed Pólya-Szegö principle. (English) Zbl 1475.52008 Acta Math. Sin., Engl. Ser. 37, No. 5, 753-767 (2021). Reviewer: Ankit Gupta (Delhi) MSC: 52A22 52A40 PDFBibTeX XMLCite \textit{N. F. Fang} and \textit{J. Z. Zhou}, Acta Math. Sin., Engl. Ser. 37, No. 5, 753--767 (2021; Zbl 1475.52008) Full Text: DOI
Haddad, J.; Jiménez, C. H.; Montenegro, M. From affine Poincaré inequalities to affine spectral inequalities. (English) Zbl 1467.35231 Adv. Math. 386, Article ID 107808, 35 p. (2021). MSC: 35P30 35A23 35B09 35J25 35J92 52A40 PDFBibTeX XMLCite \textit{J. Haddad} et al., Adv. Math. 386, Article ID 107808, 35 p. (2021; Zbl 1467.35231) Full Text: DOI arXiv
Hynd, Ryan; Seuffert, Francis Extremal functions for Morrey’s inequality. (English) Zbl 1478.46035 Arch. Ration. Mech. Anal. 241, No. 2, 903-945 (2021). MSC: 46E35 PDFBibTeX XMLCite \textit{R. Hynd} and \textit{F. Seuffert}, Arch. Ration. Mech. Anal. 241, No. 2, 903--945 (2021; Zbl 1478.46035) Full Text: DOI arXiv
Putterman, Eli Equivalence of the local and global versions of the \(L^p\)-Brunn-Minkowski inequality. (English) Zbl 1461.52010 J. Funct. Anal. 280, No. 9, Article ID 108956, 20 p. (2021). Reviewer: George Stoica (Saint John) MSC: 52A40 52A39 PDFBibTeX XMLCite \textit{E. Putterman}, J. Funct. Anal. 280, No. 9, Article ID 108956, 20 p. (2021; Zbl 1461.52010) Full Text: DOI arXiv
Bryan, Paul; Ivaki, Mohammad N.; Scheuer, Julian Orlicz-Minkowski flows. (English) Zbl 1458.53094 Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 41, 25 p. (2021). MSC: 53E10 35K55 52A05 53A15 58J35 PDFBibTeX XMLCite \textit{P. Bryan} et al., Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 41, 25 p. (2021; Zbl 1458.53094) Full Text: DOI arXiv
Feng, Yibin; Zhou, Yanping General \((p,q)\)-mixed projection bodies. (English) Zbl 1478.52002 Open Math. 18, 970-982 (2020). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 52A20 52A40 PDFBibTeX XMLCite \textit{Y. Feng} and \textit{Y. Zhou}, Open Math. 18, 970--982 (2020; Zbl 1478.52002) Full Text: DOI
Fang, Fei; Ji, Chao The cone Moser-Trudinger inequalities and applications. (English) Zbl 1472.35165 Asymptotic Anal. 120, No. 3-4, 273-299 (2020). MSC: 35J60 35J25 35A01 PDFBibTeX XMLCite \textit{F. Fang} and \textit{C. Ji}, Asymptotic Anal. 120, No. 3--4, 273--299 (2020; Zbl 1472.35165) Full Text: DOI arXiv
Wang, Hejun; Zhou, Jiazu On the uniqueness and continuity of the dual area measure. (English) Zbl 1461.52011 J. Math. Anal. Appl. 492, No. 1, Article ID 124383, 15 p. (2020). Reviewer: Niufa Fang (Chongqing) MSC: 52A40 51M16 52A38 PDFBibTeX XMLCite \textit{H. Wang} and \textit{J. Zhou}, J. Math. Anal. Appl. 492, No. 1, Article ID 124383, 15 p. (2020; Zbl 1461.52011) Full Text: DOI
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 PDFBibTeX XMLCite \textit{T. Wang} and \textit{J. Xiao}, Adv. Appl. Math. 121, Article ID 102084, 27 p. (2020; Zbl 1470.46060) Full Text: DOI
Wang, Hejun; Lv, Yusha Continuity of the solution to the even \(L_p\) Minkowski problem for \(0<p<1\) in the plane. (English) Zbl 1460.52012 Int. J. Math. 31, No. 12, Article ID 2050101, 13 p. (2020). Reviewer: Gabriela Cristescu (Arad) MSC: 52A40 52A10 PDFBibTeX XMLCite \textit{H. Wang} and \textit{Y. Lv}, Int. J. Math. 31, No. 12, Article ID 2050101, 13 p. (2020; Zbl 1460.52012) Full Text: DOI
Du, Zou; Ge, Xiong The \(L_p\) Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity. (English) Zbl 1453.31012 J. Differ. Geom. 116, No. 3, 555-596 (2020). MSC: 31B15 52A20 PDFBibTeX XMLCite \textit{Z. Du} and \textit{X. Ge}, J. Differ. Geom. 116, No. 3, 555--596 (2020; Zbl 1453.31012) Full Text: DOI Euclid
Nguyen, Van Hoang The sharp affine \(L_2\) Sobolev trace inequality and affine energy in the fractional Sobolev spaces. (English) Zbl 1455.46037 Adv. Appl. Math. 118, Article ID 102039, 20 p. (2020). MSC: 46E35 26D10 35A23 PDFBibTeX XMLCite \textit{V. H. Nguyen}, Adv. Appl. Math. 118, Article ID 102039, 20 p. (2020; Zbl 1455.46037) Full Text: DOI
Chen, Lu; Lu, Guozhen; Zhu, Maochun Existence and nonexistence of extremals for critical Adams inequalities in \(\mathbb{R}^4\) and Trudinger-Moser inequalities in \(\mathbb{R}^2\). (English) Zbl 1441.35121 Adv. Math. 368, Article ID 107143, 60 p. (2020). Reviewer: Stefano Biagi (Milano) MSC: 35J60 35B33 46E35 PDFBibTeX XMLCite \textit{L. Chen} et al., Adv. Math. 368, Article ID 107143, 60 p. (2020; Zbl 1441.35121) Full Text: DOI arXiv
Luo, Xiaokang; Ye, Deping; Zhu, Baocheng On the polar Orlicz-Minkowski problems and the \(p\)-capacitary Orlicz-Petty bodies. (English) Zbl 1507.52003 Indiana Univ. Math. J. 69, No. 2, 385-420 (2020). MSC: 52A20 52A38 52A39 52A40 53A15 PDFBibTeX XMLCite \textit{X. Luo} et al., Indiana Univ. Math. J. 69, No. 2, 385--420 (2020; Zbl 1507.52003) Full Text: DOI arXiv
Lombardi, N.; Xiao, J. Affine Poisson & non-Poisson trace principles for \(\dot{H}^{- 1 < - \alpha \leq - \frac{ 1}{ 2}}(\mathbb{R}^{n - 1 \geq 2})\). (English) Zbl 1436.35013 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111688, 13 p. (2020). MSC: 35A23 46E35 PDFBibTeX XMLCite \textit{N. Lombardi} and \textit{J. Xiao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111688, 13 p. (2020; Zbl 1436.35013) 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
Huang, Qingzhong; Li, Ai-Jun The \(L^p\) Gagliardo-Nirenberg-Zhang inequality. (English) Zbl 1443.46022 Adv. Appl. Math. 113, Article ID 101971, 21 p. (2020). MSC: 46E35 52A40 52A20 52A39 26D10 26D15 PDFBibTeX XMLCite \textit{Q. Huang} and \textit{A.-J. Li}, Adv. Appl. Math. 113, Article ID 101971, 21 p. (2020; Zbl 1443.46022) Full Text: DOI
Gardner, Richard J.; Hug, Daniel; Xing, Sudan; Ye, Deping General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. II. (English) Zbl 1430.52001 Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 15, 33 p. (2020). MSC: 52A20 52A30 52A39 52A40 PDFBibTeX XMLCite \textit{R. J. Gardner} et al., Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 15, 33 p. (2020; Zbl 1430.52001) Full Text: DOI arXiv
Bianchi, Gabriele; Böröczky, Károly J.; Colesanti, Andrea The Orlicz version of the \(L_p\) Minkowski problem for \(- n < p < 0\). (English) Zbl 1428.52009 Adv. Appl. Math. 111, Article ID 101937, 29 p. (2019). Reviewer: George Stoica (Saint John) MSC: 52A38 35J96 PDFBibTeX XMLCite \textit{G. Bianchi} et al., Adv. Appl. Math. 111, Article ID 101937, 29 p. (2019; Zbl 1428.52009) Full Text: DOI arXiv
Fang, Niufa; Xu, Wenxue; Zhou, Jiazu; Zhu, Baocheng The sharp convex mixed Lorentz-Sobolev inequality. (English) Zbl 1428.52014 Adv. Appl. Math. 111, Article ID 101936, 25 p. (2019). Reviewer: George Stoica (Saint John) MSC: 52A40 52A22 52A39 26D05 PDFBibTeX XMLCite \textit{N. Fang} et al., Adv. Appl. Math. 111, Article ID 101936, 25 p. (2019; Zbl 1428.52014) Full Text: DOI
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
Lin, Youjiang The affine Orlicz Pólya-Szegő principle on \(BV(\Omega )\). (English) Zbl 1440.46032 Calc. Var. Partial Differ. Equ. 58, No. 5, Paper No. 178, 39 p. (2019). MSC: 46E35 46E30 52A40 PDFBibTeX XMLCite \textit{Y. Lin}, Calc. Var. Partial Differ. Equ. 58, No. 5, Paper No. 178, 39 p. (2019; Zbl 1440.46032) Full Text: DOI
Haberl, Christoph Complex affine isoperimetric inequalities. (English) Zbl 1425.52009 Calc. Var. Partial Differ. Equ. 58, No. 5, Paper No. 169, 22 p. (2019). Reviewer: George Stoica (Saint John) MSC: 52A40 52A20 PDFBibTeX XMLCite \textit{C. Haberl}, Calc. Var. Partial Differ. Equ. 58, No. 5, Paper No. 169, 22 p. (2019; Zbl 1425.52009) Full Text: DOI
Haddad, J.; Jiménez, C. H.; Montenegro, M. Sharp affine weighted \(L^p\) Sobolev type inequalities. (English) Zbl 1436.46037 Trans. Am. Math. Soc. 372, No. 4, 2753-2776 (2019). MSC: 46E35 52A40 52A05 PDFBibTeX XMLCite \textit{J. Haddad} et al., Trans. Am. Math. Soc. 372, No. 4, 2753--2776 (2019; Zbl 1436.46037) Full Text: DOI arXiv
Wang, Hejun; Fang, Niufa; Zhou, Jiazu Continuity of the solution to the even logarithmic Minkowski problem in the plane. (English) Zbl 1422.52004 Sci. China, Math. 62, No. 7, 1419-1428 (2019). Reviewer: Sorin-Mihai Grad (Vienna) MSC: 52A40 PDFBibTeX XMLCite \textit{H. Wang} et al., Sci. China, Math. 62, No. 7, 1419--1428 (2019; Zbl 1422.52004) Full Text: DOI
Lam, Nguyen; Lu, Guozhen; Zhang, Lu Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities. (English) Zbl 1421.35008 Adv. Math. 352, 1253-1298 (2019). MSC: 35A23 26D10 42B35 46E30 46E35 PDFBibTeX XMLCite \textit{N. Lam} et al., Adv. Math. 352, 1253--1298 (2019; Zbl 1421.35008) Full Text: DOI
Kristály, Alexandru New geometric aspects of Moser-Trudinger inequalities on Riemannian manifolds: the non-compact case. (English) Zbl 1410.53046 J. Funct. Anal. 276, No. 8, 2359-2396 (2019). MSC: 53C21 58J60 PDFBibTeX XMLCite \textit{A. Kristály}, J. Funct. Anal. 276, No. 8, 2359--2396 (2019; Zbl 1410.53046) Full Text: DOI arXiv
Chen, Shibing; Li, Qi-Rui; Zhu, Guangxian The logarithmic Minkowski problem for non-symmetric measures. (English) Zbl 1406.52018 Trans. Am. Math. Soc. 371, No. 4, 2623-2641 (2019). MSC: 52A40 35J96 35J75 PDFBibTeX XMLCite \textit{S. Chen} et al., Trans. Am. Math. Soc. 371, No. 4, 2623--2641 (2019; Zbl 1406.52018) Full Text: DOI
Wang, Hejun; Fang, Niufa; Zhou, Jiazu Continuity of the solution to the dual Minkowski problem for negative indices. (English) Zbl 1406.52021 Proc. Am. Math. Soc. 147, No. 3, 1299-1312 (2019). Reviewer: George Stoica (Saint John) MSC: 52A40 PDFBibTeX XMLCite \textit{H. Wang} et al., Proc. Am. Math. Soc. 147, No. 3, 1299--1312 (2019; Zbl 1406.52021) Full Text: DOI
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Zhu, Baocheng; Xing, Sudan; Ye, Deping The dual Orlicz-Minkowski problem. (English) Zbl 1416.52009 J. Geom. Anal. 28, No. 4, 3829-3855 (2018). Reviewer: Judit Abardia-Evéquoz (Frankfurt a. M.) MSC: 52B45 52A39 PDFBibTeX XMLCite \textit{B. Zhu} et al., J. Geom. Anal. 28, No. 4, 3829--3855 (2018; Zbl 1416.52009) Full Text: DOI arXiv
Abardia-Evéquoz, Judit; Colesanti, Andrea; Saorín-Gómez, Eugenia Minkowski additive operators under volume constraints. (English) Zbl 1408.52023 J. Geom. Anal. 28, No. 3, 2422-2455 (2018). Reviewer: Fabian Mußnig (Wien) MSC: 52B45 52A40 52A39 52A20 PDFBibTeX XMLCite \textit{J. Abardia-Evéquoz} et al., J. Geom. Anal. 28, No. 3, 2422--2455 (2018; Zbl 1408.52023) Full Text: DOI arXiv
Hong, Han; Ye, Deping Sharp geometric inequalities for the general \(p\)-affine capacity. (English) Zbl 1411.46023 J. Geom. Anal. 28, No. 3, 2254-2287 (2018). MSC: 46E30 46E35 52A38 53A15 PDFBibTeX XMLCite \textit{H. Hong} and \textit{D. Ye}, J. Geom. Anal. 28, No. 3, 2254--2287 (2018; Zbl 1411.46023) Full Text: DOI arXiv
Li, Jungang; Lu, Guozhen; Yang, Qiaohua Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension. (English) Zbl 1402.46025 Adv. Math. 333, 350-385 (2018). MSC: 46E35 46E30 35J91 35R03 PDFBibTeX XMLCite \textit{J. Li} et al., Adv. Math. 333, 350--385 (2018; Zbl 1402.46025) Full Text: DOI
Abardia-Evéquoz, Judit; Colesanti, Andrea; Saorín Gómez, Eugenia Minkowski valuations under volume constraints. (English) Zbl 1400.52007 Adv. Math. 333, 118-158 (2018). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 52A40 52B45 52A20 52A39 PDFBibTeX XMLCite \textit{J. Abardia-Evéquoz} et al., Adv. Math. 333, 118--158 (2018; Zbl 1400.52007) Full Text: DOI arXiv
Huang, Yong; Zhao, Yiming On the \(L_p\) dual Minkowski problem. (English) Zbl 1393.52007 Adv. Math. 332, 57-84 (2018). Reviewer: George Stoica (Saint John) MSC: 52A40 52A38 35J96 35J20 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{Y. Zhao}, Adv. Math. 332, 57--84 (2018; Zbl 1393.52007) Full Text: DOI
Schindler, Ian; Tintarev, Cyril Compactness properties and ground states for the affine Laplacian. (English) Zbl 1436.46042 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 48, 14 p. (2018). Reviewer: Youssef El Hadfi (Khouribga) MSC: 46E35 46E30 35J20 35J99 35H99 52A40 PDFBibTeX XMLCite \textit{I. Schindler} and \textit{C. Tintarev}, Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 48, 14 p. (2018; Zbl 1436.46042) Full Text: DOI arXiv Link
Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong \(L_{p}\) dual curvature measures. (English) Zbl 1388.52003 Adv. Math. 329, 85-132 (2018). Reviewer: George Stoica (Saint John) MSC: 52A40 PDFBibTeX XMLCite \textit{E. Lutwak} et al., Adv. Math. 329, 85--132 (2018; Zbl 1388.52003) Full Text: DOI
Lu, Jian A generalized rotationally symmetric case of the centroaffine Minkowski problem. (English) Zbl 1393.35067 J. Differ. Equations 264, No. 9, 5838-5869 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35J96 35J75 58J05 PDFBibTeX XMLCite \textit{J. Lu}, J. Differ. Equations 264, No. 9, 5838--5869 (2018; Zbl 1393.35067) 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
Jiang, Renjin; Xiao, Jie; Yang, Dachun Relative \(\infty\)-capacity and its affinization. (English) Zbl 1380.35052 Adv. Calc. Var. 11, No. 1, 95-110 (2018). MSC: 35D40 47A75 35J70 49L25 PDFBibTeX XMLCite \textit{R. Jiang} et al., Adv. Calc. Var. 11, No. 1, 95--110 (2018; Zbl 1380.35052) Full Text: DOI
Nguyen, Van Hoang Orlicz-Lorentz centroid bodies. (English) Zbl 1380.52011 Adv. Appl. Math. 92, 99-121 (2018). Reviewer: Boris Rubin (Baton Rouge) MSC: 52A40 PDFBibTeX XMLCite \textit{V. H. Nguyen}, Adv. Appl. Math. 92, 99--121 (2018; Zbl 1380.52011) Full Text: DOI arXiv
Colesanti, Andrea; Ludwig, Monika; Mussnig, Fabian Minkowski valuations on convex functions. (English) Zbl 1400.52014 Calc. Var. Partial Differ. Equ. 56, No. 6, Paper No. 162, 29 p. (2017). Reviewer: Judit Abardia-Evéquoz (Frankfurt a. M.) MSC: 52B45 26B25 46B20 46E35 52A21 52A41 PDFBibTeX XMLCite \textit{A. Colesanti} et al., Calc. Var. Partial Differ. Equ. 56, No. 6, Paper No. 162, 29 p. (2017; Zbl 1400.52014) Full Text: DOI arXiv
Lu, Guozhen; Yang, Qiaohua Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four. (English) Zbl 1384.46026 Adv. Math. 319, 567-598 (2017). MSC: 46E35 46E30 35J91 35J20 26D10 PDFBibTeX XMLCite \textit{G. Lu} and \textit{Q. Yang}, Adv. Math. 319, 567--598 (2017; Zbl 1384.46026) Full Text: DOI arXiv
Lin, Youjiang Affine Orlicz Pólya-Szegő principle for log-concave functions. (English) Zbl 1383.46024 J. Funct. Anal. 273, No. 10, 3295-3326 (2017). MSC: 46E30 46E35 52B40 52A39 PDFBibTeX XMLCite \textit{Y. Lin}, J. Funct. Anal. 273, No. 10, 3295--3326 (2017; Zbl 1383.46024) Full Text: DOI
Chen, Shibing; Li, Qi-Rui; Zhu, Guangxian On the \(L_{p}\) Monge-Ampère equation. (English) Zbl 1388.35047 J. Differ. Equations 263, No. 8, 4997-5011 (2017). Reviewer: Igor Bock (Bratislava) MSC: 35J60 52A40 53A15 PDFBibTeX XMLCite \textit{S. Chen} et al., J. Differ. Equations 263, No. 8, 4997--5011 (2017; Zbl 1388.35047) Full Text: DOI
Haberl, Christoph; Parapatits, Lukas Centro-affine tensor valuations. (English) Zbl 1373.52018 Adv. Math. 316, 806-865 (2017). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52B45 52A20 PDFBibTeX XMLCite \textit{C. Haberl} and \textit{L. Parapatits}, Adv. Math. 316, 806--865 (2017; Zbl 1373.52018) Full Text: DOI arXiv
Böröczky, Károly J.; Trinh, Hai T. The planar \(L_{p}\)-Minkowski problem for \(0<p<1\). (English) Zbl 1376.52013 Adv. Appl. Math. 87, 58-81 (2017). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A40 PDFBibTeX XMLCite \textit{K. J. Böröczky} and \textit{H. T. Trinh}, Adv. Appl. Math. 87, 58--81 (2017; Zbl 1376.52013) Full Text: DOI arXiv
Lam, Nguyen; Lu, Guozhen; Tang, Hanli Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions. (English) Zbl 1372.46027 J. Geom. Anal. 27, No. 1, 300-334 (2017). MSC: 46E35 35J30 46E30 PDFBibTeX XMLCite \textit{N. Lam} et al., J. Geom. Anal. 27, No. 1, 300--334 (2017; Zbl 1372.46027) Full Text: DOI
Zhu, Guangxian Continuity of the solution to the \(L_p\) Minkowski problem. (English) Zbl 1354.52011 Proc. Am. Math. Soc. 145, No. 1, 379-386 (2017). MSC: 52A40 PDFBibTeX XMLCite \textit{G. Zhu}, Proc. Am. Math. Soc. 145, No. 1, 379--386 (2017; Zbl 1354.52011) Full Text: DOI
Huang, Yong; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems. (English) Zbl 1372.52007 Acta Math. 216, No. 2, 325-388 (2016). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A20 52A38 35J20 52A40 PDFBibTeX XMLCite \textit{Y. Huang} et al., Acta Math. 216, No. 2, 325--388 (2016; Zbl 1372.52007) Full Text: DOI
He, Yan; Li, Qi-Rui; Wang, Xu-Jia Multiple solutions of the \(L_{p}\)-Minkowski problem. (English) Zbl 1356.52004 Calc. Var. Partial Differ. Equ. 55, No. 5, Paper No. 117, 13 p. (2016). Reviewer: Alexey Alimov (Moskva) MSC: 52A39 53A05 35J96 PDFBibTeX XMLCite \textit{Y. He} et al., Calc. Var. Partial Differ. Equ. 55, No. 5, Paper No. 117, 13 p. (2016; Zbl 1356.52004) Full Text: DOI
Nguyen, Van Hoang New approach to the affine Pólya-Szegö principle and the stability version of the affine Sobolev inequality. (English) Zbl 1355.26018 Adv. Math. 302, 1080-1110 (2016). Reviewer: Sanja Varošanec (Zagreb) MSC: 26D07 46E35 52A40 PDFBibTeX XMLCite \textit{V. H. Nguyen}, Adv. Math. 302, 1080--1110 (2016; Zbl 1355.26018) Full Text: DOI arXiv
Lu, Guozhen; Tang, Hanli Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces. (English) Zbl 1359.46035 Adv. Nonlinear Stud. 16, No. 3, 581-601 (2016). MSC: 46E35 42B35 42B37 PDFBibTeX XMLCite \textit{G. Lu} and \textit{H. Tang}, Adv. Nonlinear Stud. 16, No. 3, 581--601 (2016; Zbl 1359.46035) Full Text: DOI
Xiao, J.; Zhang, N. The relative \(p\)-affine capacity. (English) Zbl 1406.46028 Proc. Am. Math. Soc. 144, No. 8, 3537-3554 (2016). MSC: 46E35 PDFBibTeX XMLCite \textit{J. Xiao} and \textit{N. Zhang}, Proc. Am. Math. Soc. 144, No. 8, 3537--3554 (2016; Zbl 1406.46028) Full Text: DOI
Jian, Huaiyu; Lu, Jian; Zhu, Guangxian Mirror symmetric solutions to the centro-affine Minkowski problem. (English) Zbl 1356.52002 Calc. Var. Partial Differ. Equ. 55, No. 2, Paper No. 41, 22 p. (2016). Reviewer: Friedrich Manhart (Wien) MSC: 52A20 35J96 35B44 52A40 PDFBibTeX XMLCite \textit{H. Jian} et al., Calc. Var. Partial Differ. Equ. 55, No. 2, Paper No. 41, 22 p. (2016; Zbl 1356.52002) Full Text: DOI
Ober, Michael Asymmetric \(L_p\) convexification and the convex Lorentz-Sobolev inequality. (English) Zbl 1334.52010 Monatsh. Math. 179, No. 1, 113-127 (2016). Reviewer: Guangxian Zhu (New York) MSC: 52A40 52A39 PDFBibTeX XMLCite \textit{M. Ober}, Monatsh. Math. 179, No. 1, 113--127 (2016; Zbl 1334.52010) Full Text: DOI
Huang, Qingzhong; Li, Ai-Jun Optimal Sobolev norms in the affine class. (English) Zbl 1335.46029 J. Math. Anal. Appl. 436, No. 1, 568-585 (2016). MSC: 46E35 35A23 PDFBibTeX XMLCite \textit{Q. Huang} and \textit{A.-J. Li}, J. Math. Anal. Appl. 436, No. 1, 568--585 (2016; Zbl 1335.46029) 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
Huang, Yong; Liu, Jiakun; Xu, Lu On the uniqueness of \(L_p\)-Minkowski problems: the constant \(p\)-curvature case in \(\mathbb{R}^3\). (English) Zbl 1329.52003 Adv. Math. 281, 906-927 (2015). Reviewer: Igor G. Nikolaev (Urbana) MSC: 52A20 35J96 53A05 PDFBibTeX XMLCite \textit{Y. Huang} et al., Adv. Math. 281, 906--927 (2015; Zbl 1329.52003) Full Text: DOI arXiv
Zhu, Guangxian The \(L_p\) Minkowski problem for polytopes for \(0 < p < 1\). (English) Zbl 1335.52023 J. Funct. Anal. 269, No. 4, 1070-1094 (2015). Reviewer: Martin Henk (Berlin) MSC: 52A40 52A20 PDFBibTeX XMLCite \textit{G. Zhu}, J. Funct. Anal. 269, No. 4, 1070--1094 (2015; Zbl 1335.52023) Full Text: DOI arXiv
Psaradakis, G.; Spector, D. A Leray-Trudinger inequality. (English) Zbl 1338.46048 J. Funct. Anal. 269, No. 1, 215-228 (2015). MSC: 46E35 26D15 35J92 PDFBibTeX XMLCite \textit{G. Psaradakis} and \textit{D. Spector}, J. Funct. Anal. 269, No. 1, 215--228 (2015; Zbl 1338.46048) Full Text: DOI arXiv
Zhu, Baocheng; Zhou, Jiazu; Xu, Wenxue \(L_p\) mixed geominimal surface area. (English) Zbl 1321.52003 J. Math. Anal. Appl. 422, No. 2, 1247-1263 (2015). Reviewer: Gabriela Cristescu (Arad) MSC: 52A15 PDFBibTeX XMLCite \textit{B. Zhu} et al., J. Math. Anal. Appl. 422, No. 2, 1247--1263 (2015; Zbl 1321.52003) Full Text: DOI
Ivaki, Mohammad N. On the stability of the \(p\)-affine isoperimetric inequality. (English) Zbl 1433.52009 J. Geom. Anal. 24, No. 4, 1898-1911 (2014). MSC: 52A40 53E99 52A38 53A04 53A15 53A10 PDFBibTeX XMLCite \textit{M. N. Ivaki}, J. Geom. Anal. 24, No. 4, 1898--1911 (2014; Zbl 1433.52009) Full Text: DOI arXiv
Haberl, Christoph; Parapatits, Lukas The centro-affine Hadwiger theorem. (English) Zbl 1319.52006 J. Am. Math. Soc. 27, No. 3, 685-705 (2014). Reviewer: Martin Henk (Magdeburg) MSC: 52A20 52B45 PDFBibTeX XMLCite \textit{C. Haberl} and \textit{L. Parapatits}, J. Am. Math. Soc. 27, No. 3, 685--705 (2014; Zbl 1319.52006) Full Text: DOI arXiv
Ivaki, Mohammad N. Centro-affine curvature flows on centrally symmetric convex curves. (English) Zbl 1298.53062 Trans. Am. Math. Soc. 366, No. 11, 5671-5692 (2014). MSC: 53C44 53A04 52A10 53A15 35K55 PDFBibTeX XMLCite \textit{M. N. Ivaki}, Trans. Am. Math. Soc. 366, No. 11, 5671--5692 (2014; Zbl 1298.53062) Full Text: DOI arXiv
Zhu, Guangxian The logarithmic Minkowski problem for polytopes. (English) Zbl 1321.52015 Adv. Math. 262, 909-931 (2014). Reviewer: Monika Nowicka (Bydgoszcz) MSC: 52A40 PDFBibTeX XMLCite \textit{G. Zhu}, Adv. Math. 262, 909--931 (2014; Zbl 1321.52015) Full Text: DOI
Xi, Dongmeng; Jin, Hailin; Leng, Gangsong The Orlicz Brunn-Minkowski inequality. (English) Zbl 1357.52004 Adv. Math. 260, 350-374 (2014). Reviewer: Eugenia Saorín Gómez (Magdeburg) MSC: 52A20 52A40 52A39 PDFBibTeX XMLCite \textit{D. Xi} et al., Adv. Math. 260, 350--374 (2014; Zbl 1357.52004) Full Text: DOI
Hu, Junfang Stability in the \(L_p\) Shephard problem. (English) Zbl 1315.52006 Indag. Math., New Ser. 25, No. 3, 454-467 (2014). Reviewer: A. E. Litvak (Edmonton) MSC: 52A40 52A20 PDFBibTeX XMLCite \textit{J. Hu}, Indag. Math., New Ser. 25, No. 3, 454--467 (2014; Zbl 1315.52006) Full Text: DOI
Parapatits, Lukas \(SL(n)\)-covariant \(L_{p}\)-Minkowski valuations. (English) Zbl 1296.52010 J. Lond. Math. Soc., II. Ser. 89, No. 2, 397-414 (2014). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 52B45 52A20 PDFBibTeX XMLCite \textit{L. Parapatits}, J. Lond. Math. Soc., II. Ser. 89, No. 2, 397--414 (2014; Zbl 1296.52010) Full Text: DOI arXiv
Parapatits, Lukas \(\mathrm{SL}(n)\)-contravariant \(L_p\)-Minkowski valuations. (English) Zbl 1286.52007 Trans. Am. Math. Soc. 366, No. 3, 1195-1211 (2014). MSC: 52B45 52A20 PDFBibTeX XMLCite \textit{L. Parapatits}, Trans. Am. Math. Soc. 366, No. 3, 1195--1211 (2014; Zbl 1286.52007) Full Text: DOI arXiv
Wang, Tuo The affine Pólya-Szegö principle: equality cases and stability. (English) Zbl 1291.46035 J. Funct. Anal. 265, No. 8, 1728-1748 (2013). MSC: 46E35 PDFBibTeX XMLCite \textit{T. Wang}, J. Funct. Anal. 265, No. 8, 1728--1748 (2013; Zbl 1291.46035) Full Text: DOI
Böröczky, Károly jun.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong The logarithmic Minkowski problem. (English) Zbl 1272.52012 J. Am. Math. Soc. 26, No. 3, 831-852 (2013). Reviewer: Horst Martini (Chemnitz) MSC: 52A40 52A21 PDFBibTeX XMLCite \textit{K. Böröczky jun.} et al., J. Am. Math. Soc. 26, No. 3, 831--852 (2013; Zbl 1272.52012) Full Text: DOI