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

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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Bibliographic Details
Main Author: Shuhai Zhu
Format: Article
Language:English
Published: AIMS Press 2023-05-01
Series:AIMS Mathematics
Subjects:
fractional $ p(x) $-laplacian
fractional sobolev space with variable exponent
variational method
fountain theorem
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023836?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023836?viewType=HTML

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