Sharp embedding of Sobolev spaces involving general kernels and its application
Analysis of PDEs
2014-04-07 v2
Abstract
The purpose of this paper is to extend the embedding theorem of Sobolev spaces involving general kernels and we provide a sharp critical exponent in these embeddings. As an application, solutions for equations driven by a general integro-differential operator, with homogeneous Dirichlet boundary conditions, is established by using the Mountain Pass Theorem.
Cite
@article{arxiv.1311.7165,
title = {Sharp embedding of Sobolev spaces involving general kernels and its application},
author = {Huyuan Chen and Hichem Hajaiej},
journal= {arXiv preprint arXiv:1311.7165},
year = {2014}
}
Comments
20 pages