Multiple Solutions for Nonlinear Generalized-Kirchhoff type potential Systems in Unbounded Domains
Year: 2022
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Eddine, Nabil Chems, Ouannasser, Anass
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4285597450