Existence and multiplicity of solutions for a Schrödinger type equations involving the fractional p(x)-Laplacian

We are concerned with the following Schrödinger type equation with variable exponents $ \begin{equation*} (-\Delta_{p(x)})^{s}u+V(x)|u|^{p(x)-2}u = f(x, u)\, \, \, \, \text{in}\, \, \, \, \mathbb{R}^{N}, \end{equation*} $ where $ (-\Delta_{p(x)})^{s} $ is the fractional $ p(x) $-Laplace operator...

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發表在:	AIMS Mathematics
主要作者:	Shuhai Zhu
格式:	Article
語言:	英语
出版:	AIMS Press 2023-05-01
主題:	fractional $ p(x) $-laplacian fractional sobolev space with variable exponent variational method fountain theorem
在線閱讀:	https://www.aimspress.com/article/doi/10.3934/math.2023836?viewType=HTML