Infinitely many solutions for hemivariational inequalities involving the fractional Laplacian

Abstract In the paper, we consider the following hemivariational inequality problem involving the fractional Laplacian: {(−Δ)su+λu∈α(x)∂F(x,u)x∈Ω,u=0x∈RN∖Ω, $$ \textstyle\begin{cases} (-\Delta )^{s}u+\lambda u\in \alpha (x) \partial F(x,u) & x \in \varOmega , \\ u=0 & x\in \mathbb{R} ^{N} \b...

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Bibliographic Details
Main Authors: Lijing Xi, Yuying Zhou
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2253-x