On the sign of the solutions to some semilinear Dirichlet problems

DOI10.1017/S0308210500014372zbMath0583.35043MaRDI QIDQ3708432

Flavio Donati, Vittorio Cafagna

Publication date: 1985

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lyapunov-Schmidt reductionsemilinear elliptic problemspectrum of the Laplacianpositive and negative solutions

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Second-order elliptic equations (35J15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items

Multiple solutions for some semilinear elliptic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Critical point theory and the number of solutions of a nonlinear Dirichlet problem
• Le nombre de solutions de certains problèmes semi-linéaires elliptiques
• An anti-maximum principle for second order elliptic operators
• On the inversion of some differentiable mappings with singularities between Banach spaces
• A multiplicity result for a class of elliptic boundary value problems
• Sharp nonuniqueness results for some nonlinear problems
• Résultats d'existence et de non-existence pour certains problèmes demi-linéaires à l'infini
• Remarks on some quasilinear elliptic equations
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Elliptic Partial Differential Equations of Second Order