Solutions and multiple solutions for superlinear perturbations of the periodic scalar p-Laplacian
DOI10.1017/S0013091513000370zbMath1291.34046MaRDI QIDQ5397394
Nikolaos S. Papageorgiou, Sophia Th. Kyritsi, Donal O'Regan
Publication date: 20 February 2014
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: http://journals.cambridge.org/action/displayAbstract?fromPage=online&fileId=S0013091513000370&fulltextType=RA&aid=8992437
critical groupsmountain pass theoremscalar \(p\)-Laplacian\(p\)-superlinearityAR conditionC condition
Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)
Cites Work
- Unnamed Item
- Unnamed Item
- Multiple solutions for resonant nonlinear periodic equations
- Existence of multiple solutions with precise sign information for superlinear Neumann problems
- The spectrum of the periodic \(p\)-Laplacian
- Superlinear problems without Ambrosetti and Rabinowitz growth condition
- The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of \(p\)-Laplacian type without the Ambrosetti-Rabinowitz condition
- Solvability of the resonant 1-dimensional periodic \(p\)-Laplacian equations
- Three nontrivial solutions for periodic problems with the \(p\)-Laplacian and a \(p\)-superlinear nonlinearity
- Handbook of applied analysis
- Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
- Dual variational methods in critical point theory and applications
- A strong maximum principle for some quasilinear elliptic equations
- Multiple nontrivial solutions for nonlinear periodic problems with the \(p\)-Laplacian
- \(p\)-Laplacian problems with jumping nonlinearities
- Periodic solutions for second order differential inclusions with the scalar \(p\)-Laplacian
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- Existence and multiplicity of solutions with prescribed period for a second order quasilinear O.D.E.
- Two nontrivial solutions for quasilinear periodic equations
- Nontrivial Solutions forp-Laplace Equations with Right-Hand Side Havingp-Linear Growth at Infinity
