Multiple Solutions for Nonlinear Generalized-Kirchhoff type potential Systems in Unbounded Domains

Nabil Chems Eddine; Anass Ouannasser

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arXiv · 2207.06483

Multiple Solutions for Nonlinear Generalized-Kirchhoff type potential Systems in Unbounded Domains

Nabil Chems Eddine·Anass Ouannasser

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Abstract

In this paper, we consider a class of quasilinear stationary Kirchhoff type potential systems in unbounded domains, which involves a general variable exponent elliptic operator. Under some suitable conditions on the nonlinearities, we establish existence of at least three weak solutions for the problem. The proof of our main result uses variational methods and the critical theorem of Bonanno and Marano.

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Nabil Chems Eddine, Anass Ouannasser. 2022-07-13. Multiple Solutions for Nonlinear Generalized-Kirchhoff type potential Systems in Unbounded Domains. https://arxiv.org/abs/2207.06483

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