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 and the Mountain Pass Theorem without the Palais-Smale condition.
Generalized critical Kirchhoff-type potential systems With Neumann Boundary conditions
Maria Alessandra Ragusa
2022-01-01
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 and the Mountain Pass Theorem without the Palais-Smale condition.File in questo prodotto:
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