The concentration-compactness principles for $W^{s,p(\cdot,\cdot)}(\mathbb{R}^N)$ and application
Analysis of PDEs
2019-09-23 v1
Abstract
We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems with variable exponents, which is even new for constant exponent case.
Cite
@article{arxiv.1909.09379,
title = {The concentration-compactness principles for $W^{s,p(\cdot,\cdot)}(\mathbb{R}^N)$ and application},
author = {Ky Ho and Yun-Ho Kim},
journal= {arXiv preprint arXiv:1909.09379},
year = {2019}
}
Comments
33 pages