Positivity and anti-maximum principles for elliptic operators with mixed boundary conditions

DOI10.4171/JEMS/104zbMath1167.35012MaRDI QIDQ2478607

Joachim von Below, Catherine Bandle, Wolfgang Reichel

Publication date: 28 March 2008

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

zbMATH Keywords

Harnack inequalityeigenvaluesanti-maximum principlepositivity principle

Mathematics Subject Classification ID

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

Related Items (2)

Shape optimization for an elliptic operator with infinitely many positive and negative eigenvalues ⋮ Pointwise behaviour of the solution of the Poisson problem near conical points

Cites Work

• An anti-maximum principle for linear elliptic equations with an indefinite weight function
• Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up
• An anti-maximum principle for second order elliptic operators
• Sharp parameter ranges in the uniform anti-maximum principle for second-order ordinary differential operators
• Elliptic partial differential equations of second order
• Spectral asymptotics for the Laplacian under an eigenvalue dependent boundary condition
• On some linear and nonlinear eigenvalue problems with an indefinite weight function
• Uniform anti-maximum principle for polyharmonic boundary value problems
• On the antimaximum principle and the Fučik spectrum for the Neumann \(p\)-Laplacian
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