@article{Kim2023, 
author = {Yun-Ho Kim},
title = {Multiple solutions to Kirchhoff-Schrödinger equations involving the    p  (  ⋅  )-Laplace-type operator},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {4},
pages = {9461-9482},
keywords = {weak solution, dual fountain theorem, fountain theorem, p(x)-Laplace type, variable exponent Lebesgue-Sobolev spaces},
url = {https://www.sciopen.com/article/10.3934/math.2023477},
doi = {10.3934/math.2023477},
abstract = {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.}
}