A strong maximum principle for the Laplace equation with mixed boundary condition

DOI10.1006/jfan.2000.3729zbMath0979.35037OpenAlexW1990681768MaRDI QIDQ5940319

Juan Dávila

Publication date: 20 September 2001

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3729

zbMATH Keywords

comparison resultsgeneralization of Hopf lemma

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

• An anti-maximum principle for second order elliptic operators
• Hopf's lemma and anti-maximum principle in general domains
• Blow up for \(u_ t- \Delta u=g(u)\) revisited
• On some non-linear elliptic differential functional equations
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
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