Multiple positive solutions for a class of \(p\)-superlinear elliptic problems
DOI10.1016/j.na.2009.11.046zbMath1182.35130OpenAlexW1579750487MaRDI QIDQ847357
Sophia Th. Kyritsi, Nikolaos S. Papageorgiou
Publication date: 12 February 2010
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.2009.11.046
Morse theorypositive solutionscritical point theory\(p\)-Laplaciantruncationsconstant sign solutions\(p\)-linear nonlinearity\(p\)-superlinear term
Boundary value problems for second-order elliptic equations (35J25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a superlinear elliptic equation
- The maximum principle
- Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations
- Critical point theory and Hamiltonian systems
- Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
- Combined effects of concave and convex nonlinearities in some elliptic problems
- A note on multiple solutions of some semilinear elliptic problems
- Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems
- Calculating critical groups of solutions for elliptic problem with jumping nonlinearity
- Infinite dimensional Morse theory and multiple solution problems
- Positive solutions of superlinear elliptic equations
- Multiplicity results for some nonlinear elliptic equations
- A strong maximum principle for some quasilinear elliptic equations
- Linear and quasilinear elliptic equations
- Computation of critical groups in elliptic boundary-value problems where the asymptotic limits may not exist
- Boundary regularity for solutions of degenerate elliptic equations
- SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
- On the Existence of Positive Solutions of Semilinear Elliptic Equations
- On the number of positive solutions for quasilinear elliptic eigenvalue problems
- Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints
- Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
