Existence of infinitely many solutions for fractional p-Laplacian equations with sign-changing potential
In this article, we prove the existence of infinitely many solutions for the fractional $p$-Laplacian equation $$ (-\Delta)^s_p u+V(x)|u|^{p-2}u=f(x,u),\quad x\in \mathbb{R}^N $$ where $s\in(0,1)$, $2\leq p<\infty$. Based on a direct sum decomposition of a space $E^s$, we investigate the...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-09-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/208/abstr.html |