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arXiv · 2203.11942

Generalized critical Kirchhoff-type potential systems With Neumann Boundary conditions

Nabil Chems Eddine·Maria Alessandra Ragusa
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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].

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Nabil Chems Eddine, Maria Alessandra Ragusa. 2022-03-21. Generalized critical Kirchhoff-type potential systems With Neumann Boundary conditions. https://arxiv.org/abs/2203.11942

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