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

2022/07/13 by Nabil Chems Eddine, Eddine, Nabil Chems, Anass Ouannasser +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.2207.06483

arxiv created 2022/07/13 · openalex publication_date 2022/07/13 · arxiv updated 2022/07/15 · openalex created_date 2022/07/16 · openalex updated_date 2026/07/28

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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