Existence and stability for nonpositone elliptic problems

DOI10.1016/0362-546X(94)90144-9zbMath0814.35030MaRDI QIDQ4322170

Paolo Nistri, Walter Allegretto

Publication date: 9 February 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

positive solutiondegree theorynonpositone semilinear elliptic problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Degree theory for nonlinear operators (47H11) A priori estimates in context of PDEs (35B45)

Related Items (1)

INHOMOGENEOUS PERIODIC PARABOLIC PROBLEMS WITH INDEFINITE DATA

Cites Work

• Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions
• Symmetry-breaking for positive solutions of semilinear elliptic equations
• Existence of positive solutions for semilinear elliptic equations in general domains
• Non-existence of radially symmetric non-negative solutions for a class of semi-positone problems
• Positive solutions of elliptic non-positone problems
• Positive solutions of nonlinear elliptic boundary value problems
• Spectral properties of two parameter eigenvalue problems II
• Non-negative solutions for a class of non-positone problems
• A priori bounds for positive solutions of nonlinear elliptic equations
• Instability of Nonnegative Solutions for a Class of Semipositone Problems
• On a class of superlinear elliptic problems
• Non-Negative Solutions for a Class of Radially Symmetric Non-Positone Problems
• Nonnegative solutions to a semilinear dirichlet problem in a ball are positive and radially syhhetric^*
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