Multiple solutions to Kirchhoff-Schrödinger equations involving the p(⋅)-Laplace-type operator

Autor: Yun-Ho Kim
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 4, Pp 9461-9482 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023477?viewType=HTML
Popis: This paper is devoted to deriving several multiplicity results of nontrivial weak solutions to Kirchhoff-Schrödinger equations involving the p(⋅)-Laplace-type operator. The aims of this paper are stated as follows. First, under some conditions on a nonlinear term, we show that our problem has a sequence of infinitely many large energy solutions. Second, we obtain the existence of a sequence of infinitely many small energy solutions to the problem on a new class of nonlinear term. The primary tools to obtain such multiplicity results are the fountain theorem and the dual fountain theorem, respectively.
Databáze: Directory of Open Access Journals