Multiple nontrivial solutions for semilinear elliptic problems
From MaRDI portal
Publication:838024
DOI10.1016/j.na.2009.03.038zbMath1169.35330OpenAlexW1975875639MaRDI QIDQ838024
Nikolaos S. Papageorgiou, Giuseppina Barletta
Publication date: 21 August 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.03.038
critical groupsupper and lower solutionscritical point theorymultiple solutionsnodal solutionstruncationssolutions of constant signPoincaré-Hopf formula
Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a superlinear elliptic equation
- Critical point theory and Hamiltonian systems
- On pairs of positive solutions for a class of sub-superlinear elliptic problems
- Multiple positive solutions for a class of nonlinear boundary value problems
- Combined effects of concave and convex nonlinearities in some elliptic problems
- A note on multiple solutions of some semilinear elliptic problems
- On the Morse indices of sign changing solutions of nonlinear elliptic problems
- Multiple solutions theorems for semilinear elliptic boundary value problems with resonance at infinity
- Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems
- Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero
- Infinite dimensional Morse theory and multiple solution problems
- Multiple solutions for elliptic problems with asymmetric nonlinearity
- Multiplicity results for some nonlinear elliptic equations
- A strong maximum principle for some quasilinear elliptic equations
- Absolute continuity on tracks and mappings of Sobolev spaces
- Computation of critical groups in elliptic boundary-value problems where the asymptotic limits may not exist
- Quasilinear elliptic equations involving critical Sobolev exponents
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- Multiple Solutions for a Nonlinear Dirichlet Problem
- On the Existence of Positive Solutions of Semilinear Elliptic Equations
- On sign-changing solutions of certain semilinear elliptic problems
- Nodal solutions of a p-Laplacian equation
- Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
