Multiple solutions for nonlinear generalized-Kirchhoff type potential systems in unbounded domains-Reference-Cited by-同舟云学术

Multiple solutions for nonlinear generalized-Kirchhoff type potential systems in unbounded domains

Published:2023 Issue:13 Volume:37 Page:4317-4334
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Chems Eddine¹,Ouannasser Anass¹

Affiliation:

1. Center of Mathematical Research and Applications of Rabat (CeReMAR), Laboratory of Mathematical Analysis and Applications, Faculty of Sciences, Mohammed V University, Rabat, Morocco

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.

Publisher

National Library of Serbia

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