On extending some maximum principles to convex domains with nonsmooth boundaries

DOI10.1002/mma.1295zbMath1200.35086OpenAlexW2060872517MaRDI QIDQ4933243

A. Safoui, G. A. Philippin

Publication date: 12 October 2010

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1295

zbMATH Keywords

maximum principlesboundary value problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50)

Related Items (2)

The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization ⋮ On two functionals involving the maximum of the torsion function

Cites Work

• Bounds for the solutions of boundary value problems
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Über den funktionalen, insbesondere den analytischen Charakter der Lösungen elliptischer Differentialgleichungen zweiter Ordnung
• On the mean value of the fundamental mode in the fixed membrane problem
• Convexity properties of solutions to some classical variational problems
• Continuous dependence on the geometry and on the initial time for a class of parabolic problems I
• A Remark on Linear Elliptic Differential Equations of Second Order

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