Convexity of level lines of Martin functions and applications

DOI10.1007/s13324-017-0207-3zbMath1418.31006arXiv1710.00280OpenAlexW3100195468MaRDI QIDQ1999833

Yanyan Li

Publication date: 27 June 2019

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.00280

zbMATH Keywords

superlevel setsMartin functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Boundary behavior of harmonic functions in higher dimensions (31B25)

Cites Work

• The Martin kernel for unbounded domains
• Principal curvature estimates for the convex level sets of semilinear elliptic equations
• Capacitary functions in convex rings
• Asymptotic behavior of positive harmonic functions in certain unbounded domains
• A Result Concerning Convex Level Surfaces of 3-Dimensional Harmonic Functions
• Convexity properties of solutions to some classical variational problems
• Notions of convexity
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