Superharmonicity of curvature function for the convex level sets of harmonic functions

DOI10.1007/s00526-021-02023-4zbMath1473.35181OpenAlexW3176469475WikidataQ115386552 ScholiaQ115386552MaRDI QIDQ2048709

Wei Zhang, Xi-Nan Ma

Publication date: 23 August 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-021-02023-4

zbMATH Keywords

harmonic functionsconvex level sets

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Higher-order elliptic equations (35J30)

Related Items (5)

Gaussian curvature estimates for the convex level sets of minimal graphs revisited ⋮ Remarks on convexity estimates for solutions of the torsion problem ⋮ Power convexity of solutions to a special Lagrangian equation in dimension two ⋮ Superharmonic functions related to convexity estimates for a class of semilinear elliptic problems ⋮ Convexity estimates for Green's function and the first eigenfunction of Laplace operator

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