Payne, Kevin R.; Redaelli, Davide F. A primer on quasi-convex functions in nonlinear potential theories. arXiv:2303.14477 Preprint, arXiv:2303.14477 [math.AP] (2023). MSC: 31-02 31C45 26B25 26B05 35B51 35D40 BibTeX Cite \textit{K. R. Payne} and \textit{D. F. Redaelli}, ``A primer on quasi-convex functions in nonlinear potential theories'', Preprint, arXiv:2303.14477 [math.AP] (2023) Full Text: arXiv OA License
Larson, Simon A sharp multidimensional Hermite-Hadamard inequality. (English) Zbl 1494.26050 Int. Math. Res. Not. 2022, No. 2, 1297-1312 (2022). MSC: 26D15 26B25 31A05 31B05 PDFBibTeX XMLCite \textit{S. Larson}, Int. Math. Res. Not. 2022, No. 2, 1297--1312 (2022; Zbl 1494.26050) Full Text: DOI arXiv
Beck, Thomas; Brandolini, Barbara; Burdzy, Krzysztof; Henrot, Antoine; Langford, Jeffrey J.; Larson, Simon; Smits, Robert; Steinerberger, Stefan Improved bounds for Hermite-Hadamard inequalities in higher dimensions. (English) Zbl 1462.26022 J. Geom. Anal. 31, No. 1, 801-816 (2021). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D15 26B25 28A75 31A05 31B05 35B50 PDFBibTeX XMLCite \textit{T. Beck} et al., J. Geom. Anal. 31, No. 1, 801--816 (2021; Zbl 1462.26022) Full Text: DOI arXiv
Khabibullin, Bulat Nurmievich Liouville-type theorems for functions of finite order. (Russian. English translation) Zbl 1474.32007 Ufim. Mat. Zh. 12, No. 4, 117-121 (2020); translation in Ufa Math. J., No. 4, 114-118 (2020). MSC: 32A15 30D20 31C10 31B05 31A05 26B25 26A51 PDFBibTeX XMLCite \textit{B. N. Khabibullin}, Ufim. Mat. Zh. 12, No. 4, 117--121 (2020; Zbl 1474.32007); translation in Ufa Math. J., No. 4, 114--118 (2020) Full Text: DOI MNR
Steinerberger, Stefan The Hermite-Hadamard inequality in higher dimensions. (English) Zbl 1436.26025 J. Geom. Anal. 30, No. 1, 466-483 (2020). Reviewer: Fabian Mußnig (Wien) MSC: 26D15 26B25 28A75 31A05 31B05 35B50 PDFBibTeX XMLCite \textit{S. Steinerberger}, J. Geom. Anal. 30, No. 1, 466--483 (2020; Zbl 1436.26025) Full Text: DOI arXiv
Lu, Jianfeng; Steinerberger, Stefan A dimension-free Hermite-Hadamard inequality via gradient estimates for the torsion function. (English) Zbl 1436.26011 Proc. Am. Math. Soc. 148, No. 2, 673-679 (2020). Reviewer: George Stoica (Saint John) MSC: 26B25 28A75 31A05 31B05 35B50 PDFBibTeX XMLCite \textit{J. Lu} and \textit{S. Steinerberger}, Proc. Am. Math. Soc. 148, No. 2, 673--679 (2020; Zbl 1436.26011) Full Text: DOI arXiv
Khabibullin, Bulat N. Liouville-type theorems with constraints outside of small sets on circles or spheres for functions of finite order. arXiv:2009.04921 Preprint, arXiv:2009.04921 [math.CV] (2020). MSC: 32A15 30D20 31C10 31B05 31A05 26B25 26A51 BibTeX Cite \textit{B. N. Khabibullin}, ``Liouville-type theorems with constraints outside of small sets on circles or spheres for functions of finite order'', Preprint, arXiv:2009.04921 [math.CV] (2020) Full Text: arXiv OA License
Khabibullin, Bulat N. Liouville-type theorems outside of small exceptional sets for functions of finite order. arXiv:2009.01447 Preprint, arXiv:2009.01447 [math.CV] (2020). MSC: 32A15 30D20 31C10 31B05 31A05 26B25 26A51 BibTeX Cite \textit{B. N. Khabibullin}, ``Liouville-type theorems outside of small exceptional sets for functions of finite order'', Preprint, arXiv:2009.01447 [math.CV] (2020) Full Text: arXiv OA License
Bonfiglioli, Andrea; Lanconelli, Ermanno A new characterization of convexity in free Carnot groups. (English) Zbl 1272.31009 Proc. Am. Math. Soc. 140, No. 9, 3263-3273 (2012). MSC: 31C05 26B25 43A80 35J70 PDFBibTeX XMLCite \textit{A. Bonfiglioli} and \textit{E. Lanconelli}, Proc. Am. Math. Soc. 140, No. 9, 3263--3273 (2012; Zbl 1272.31009) Full Text: DOI
Hörmander, Lars Notions of convexity. Reprint of the 1994 edition. (English) Zbl 1108.32001 Modern Birkhäuser Classics. Basel: Birkhäuser (ISBN 978-0-8176-4584-7/pbk; 978-0-8176-4585-4/ebook). viii, 414 p. (2007). MSC: 32-02 32U05 31B05 31-02 32T99 31C10 26B25 26A51 32W05 PDFBibTeX XMLCite \textit{L. Hörmander}, Notions of convexity. Reprint of the 1994 edition. Basel: Birkhäuser (2007; Zbl 1108.32001)
Dwilewicz, Roman An estimate of the first derivative by the Laplacian. (English) Zbl 1059.31001 Real Anal. Exch. 28(2002-2003), No. 1, 145-152 (2003). Reviewer: Yusuf Avci (Ýstanbul) MSC: 31A05 26B25 52A41 PDFBibTeX XMLCite \textit{R. Dwilewicz}, Real Anal. Exch. 28, No. 1, 145--152 (2003; Zbl 1059.31001) Full Text: DOI
Netuka, Ivan Separation properties involving harmonic functions. (English) Zbl 0960.31001 Expo. Math. 18, No. 4, 333-337 (2000). Reviewer: Vasile Ionescu (Bucureşti) MSC: 31B05 46A22 26B25 PDFBibTeX XMLCite \textit{I. Netuka}, Expo. Math. 18, No. 4, 333--337 (2000; Zbl 0960.31001)
Hörmander, Lars Notions of convexity. (English) Zbl 0835.32001 Progress in Mathematics (Boston, Mass.). 127. Basel: Birkhäuser. viii, 414 p. (1994). Reviewer: L.Baribeau (Quebec) MSC: 32-02 32U05 31B05 31-02 32T99 31C10 26B25 26A51 32W05 PDFBibTeX XMLCite \textit{L. Hörmander}, Notions of convexity. Basel: Birkhäuser (1994; Zbl 0835.32001)
Lelong, Pierre Mahler’s measure for polynomials and bounds from convexity. (Mesure de Mahler des polynômes et majoration par convexité.) (French. English summary) Zbl 0763.32003 C. R. Acad. Sci., Paris, Sér. I 315, No. 2, 139-142 (1992). Reviewer: S.G.Krantz (St.Louis) MSC: 32A30 30C99 31C10 32U05 26B25 PDFBibTeX XMLCite \textit{P. Lelong}, C. R. Acad. Sci., Paris, Sér. I 315, No. 2, 139--142 (1992; Zbl 0763.32003)
Magnanini, Rolando On functions whose curves of steepest descent are straight lines. (English) Zbl 0725.35025 Appl. Anal. 41, No. 1-4, 171-182 (1991). MSC: 35B50 31A15 26B25 PDFBibTeX XMLCite \textit{R. Magnanini}, Appl. Anal. 41, No. 1--4, 171--182 (1991; Zbl 0725.35025) Full Text: DOI
Magnanini, R. On functions whose curves of steepest descent are straight lines. (English) Zbl 0702.35032 Appl. Anal. (to appear). Reviewer: R.Magnanini MSC: 35B50 31A15 26B25 PDFBibTeX XML
Laurence, Peter Une nouvelle formule pour dériver par rapport aux lignes de niveau et applications. (A new formula for differentiating with respect to level curves and applications). (French) Zbl 0664.31004 C. R. Acad. Sci., Paris, Sér. I 306, No. 11, 455-460 (1988). Reviewer: S.J.Gardiner MSC: 31B05 26B25 31B15 PDFBibTeX XMLCite \textit{P. Laurence}, C. R. Acad. Sci., Paris, Sér. I 306, No. 11, 455--460 (1988; Zbl 0664.31004)
Prudnikov, V. Ya. Dirichlet problem for convex functions. (English. Russian original) Zbl 0736.31003 Sov. Math. 32, No. 10, 42-45 (1988); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1988, No. 10(317), 30-33 (1988). Reviewer: D.Ştefănescu (Bucureşti) MSC: 31B20 52A41 26B25 PDFBibTeX XMLCite \textit{V. Ya. Prudnikov}, Sov. Math. 32, No. 10, 42--45 (1988; Zbl 0736.31003); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1988, No. 10(317), 30--33 (1988)
Wen, Tao An extension of Schwarz’s lemma. (Chinese) Zbl 0587.32007 Acta Math. Sin. 28, 103-108 (1985). Reviewer: Shih Hsiung Tung (Oxford/OH) MSC: 32A30 30C80 32A10 31C05 26B25 PDFBibTeX XMLCite \textit{T. Wen}, Acta Math. Sin. 28, 103--108 (1985; Zbl 0587.32007)
Abels, M. Distributions of electrons on a circle with minimal potential energy. (English) Zbl 0522.31003 Nieuw Arch. Wiskd., IV. Ser. 1, 361-364 (1983). MSC: 31A15 26B25 78A25 PDFBibTeX XMLCite \textit{M. Abels}, Nieuw Arch. Wiskd., IV. Ser. 1, 361--364 (1983; Zbl 0522.31003)