On the sign of the solutions to some semilinear Dirichlet problems
From MaRDI portal
Publication:3708432
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)
Lyapunov-Schmidt reductionsemilinear elliptic problemspectrum of the Laplacianpositive and negative solutions
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
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