A maximum principle for sums of subharmonic functions, and the convexity of level sets

DOI10.1307/mmj/1029003884zbMath0678.31003OpenAlexW1997123143MaRDI QIDQ1124008

Walter Rudin, Jean-Pierre Rosay

Publication date: 1989

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029003884

zbMATH Keywords

maximum principlelevel setconvex setsubharmonic function

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (11)

Topological bounds for Fourier coefficients and applications to torsion ⋮ The convexity and the Gaussian curvature estimates for the level sets of harmonic functions on convex rings in space forms ⋮ Strong space-time convexity and the heat equation ⋮ Convexity of level sets and a two-point function ⋮ Gaussian curvature estimates for the convex level sets of p-harmonic functions ⋮ Weak Harnack inequalities for eigenvalues and constant rank theorems ⋮ On Convexity of Level Curves of Harmonic Functions in the Hyperbolic Plane ⋮ Gauss curvature estimates for the convex level sets of a minimal surface immersed in \(\mathbb R^{n+1}\) ⋮ Superharmonicity of curvature function for the convex level sets of harmonic functions ⋮ Curvature estimates in dimensions 2 and 3 for the level sets of $p$-harmonic functions in convex rings ⋮ A quantitative constant rank theorem for quasiconcave solutions to fully nonlinear elliptic equations

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