The Brunn-Minkowski inequality and a Minkowski problem for \(\mathcal{A} \)-harmonic Green's function

DOI10.1515/acv-2018-0064zbMath1471.35131arXiv1810.03752OpenAlexW3012112608MaRDI QIDQ831233

Murat Akman, John L. Lewis, Olli Saari, Andrew L. Vogel

Publication date: 11 May 2021

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.03752

zbMATH Keywords

Brunn-Minkowski inequalityMinkowski problemvariational formulaHadamard variational formula\(\mathcal{A}\)-harmonic Green's function\(\mathcal{A}\)-harmonic PDEsinequalities and extremum problemspotentials and capacities

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Inequalities and extremum problems involving convexity in convex geometry (52A40) Functional inequalities, including subadditivity, convexity, etc. (39B62) Variational methods for second-order elliptic equations (35J20) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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