Multiple solutions to Kirchhoff-Schro?dinger equations involving the p(?)-Laplace- type operator

AIMS Mathematics(2023)

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摘要
This paper is devoted to deriving several multiplicity results of nontrivial weak solutions to Kirchhoff-Schro center dot dinger equations involving the p(center dot)-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.
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关键词
p(x)-Laplace type, variable exponent Lebesgue-Sobolev spaces, weak solution, fountain theorem, dual fountain theorem
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