Infinitely many solutions for some nonlinear supercritical problems with break of symmetry

DOI10.7494/OpMath.2019.39.2.175zbMath1433.35034OpenAlexW2807790840MaRDI QIDQ5242421

Addolorata Salvatore, Anna Maria Candela

Publication date: 8 November 2019

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2019.39.2.175

zbMATH Keywords

quasilinear elliptic equation Ambrosetti-Rabinowitz condition supercritical growth weak Cerami-Palais-Smale condition

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items (3)

Existence of minimizers for some quasilinear elliptic problems ⋮ Multiple solutions for nonhomogeneous Schrödinger equations ⋮ Positive solutions for some generalized \(p \)-Laplacian type problems

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Infinitely many solutions of some nonlinear variational equations
Functional analysis, Sobolev spaces and partial differential equations
Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems
Multiplicity results of an elliptic equation with non-homogeneous boundary conditions
Some remarks on critical point theory for nondifferentiable functionals
Infinitely many solutions for quasilinear elliptic equations with lack of symmetry
(Super)critical nonlocal equations with periodic boundary conditions
Critical points for multiple integrals of the calculus of variations
Some applications of a perturbative method to elliptic equations with non-homogeneous boundary conditions.
Unbounded critical points for a class of lower semicontinuous functionals
Multiplicity of solutions for quasilinear elliptic equations
The multiplicity of solutions in non-homogeneous boundary value problems
Multiple solutions for \(p\)-Laplacian type problems with asymptotically \(p\)-linear terms via a cohomological index theory
Some abstract critical point theorems and applications
Multiplicity results for some nonlinear elliptic problems with asymptotically \(p\)-linear terms
Linear and quasilinear elliptic equations
Multiplicity results for some quasilinear equations in lack of symmetry
Multiple Critical Points of Perturbed Symmetric Functionals
Morse indices at critical points related to the symmetric mountain pass theorem and applications
A Perturbation Method in Critical Point Theory and Applications
Multiple Solutions of Some Nonlinear Variational Problems

This page was built for publication: Infinitely many solutions for some nonlinear supercritical problems with break of symmetry