Embedding theorems for variable exponent fractional Sobolev spaces and an application
$ (-\varDelta)_{p(\cdot)}^{s(\cdot)}u+V(x)|u|^{p(x)-2}u = f(x,u)+g(x) $ where $ x\in\Omega\subset \mathbb{R}^n $, $ (-\varDelta)_{p(\cdot)}^{s(\cdot)} $ is $ s(x) $-$ p(x) $-Laplacian operator with $ 0 < s(x) < 1 < p(x) < \infty $ and $ p(x)s(x) < n $, the non...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2021-06-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://aimspress.com/article/doi/10.3934/math.2021571?viewType=HTML |