Generalized critical Kirchhoff-type potential systems With Neumann Boundary conditions
Analysis of PDEs
2022-03-24 v1 Mathematical Physics
math.MP
Abstract
In this paper, we consider a class of quasilinear stationary Kirchhoff type potential systems with Neumann Boundary conditions, which involves a general variable exponent elliptic operator with critical growth. Under some suitable conditions on the nonlinearities, we establish existence and multiplicity of solutions for the problem by using the concentration-compactness principle of Lions for variable exponents found in [5, 7] and the Mountain Pass Theorem without the Palais-Smale condition given in [43].
Cite
@article{arxiv.2203.11942,
title = {Generalized critical Kirchhoff-type potential systems With Neumann Boundary conditions},
author = {Nabil Chems Eddine and Maria Alessandra Ragusa},
journal= {arXiv preprint arXiv:2203.11942},
year = {2022}
}
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