Nontrivial solutions of some quasilinear problems via a cohomological local splitting

DOI10.1016/J.NA.2010.05.029zbMath1196.35106OpenAlexW2015789839MaRDI QIDQ988849

Giuliana Palmieri, Perera, Kanishka, Anna Maria Candela

Publication date: 19 August 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.2010.05.029

zbMATH Keywords

Alexander-Spanier cohomologycohomological local splittingCerami's variant of the Palais-Smale condition\(p\)-Laplacian type equation

Mathematics Subject Classification ID

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) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (2)

Quasilinear elliptic system in exterior domains with dependence on the gradient ⋮ Multiple solutions for \(p\)-Laplacian type problems with asymptotically \(p\)-linear terms via a cohomological index theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Infinitely many solutions of some nonlinear variational equations
• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
• Existence of bounded solutions for non linear elliptic unilateral problems
• Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index
• Infinite dimensional Morse theory and multiple solution problems
• Critical points for multiple integrals of the calculus of variations
• Unbounded critical points for a class of lower semicontinuous functionals
• Multiplicity of solutions for quasilinear elliptic equations
• Some abstract critical point theorems and applications
• Linking over cones and nontrivial solutions for \(p\)-Laplace equations with \(p\)-superlinear nonlinearity
• NONTRIVIAL SOLUTIONS OF p-SUPERLINEAR p-LAPLACIAN PROBLEMS VIA A COHOMOLOGICAL LOCAL SPLITTING
• Nontrivial Solutions ofp-Superlinearp-Laplacian Problems
• Multiple Solutions of Some Nonlinear Variational Problems
• Homological local linking
• Existence of critical points for some noncoercive functionals.

This page was built for publication: Nontrivial solutions of some quasilinear problems via a cohomological local splitting