A degenerate elliptic system with variable exponents
Classical Analysis and ODEs
2018-10-16 v1
Abstract
We study a degenerate elliptic system with variable exponents. Using the variational approach and some recent theory on weighted Lebesgue and Sobolev spaces with variable exponents, we prove the existence of at least two distinct nontrivial weak solutions of the system. Several consequences of the main theorem are derived; in particular, the existence of at lease two distinct nontrivial nonnegative solution are established for a scalar degenerate problem. One example is provided to showthe applicability of our results.
Cite
@article{arxiv.1810.05950,
title = {A degenerate elliptic system with variable exponents},
author = {Lingju Kong},
journal= {arXiv preprint arXiv:1810.05950},
year = {2018}
}
Comments
Accepted for publication in SCIENCE CHINA Mathematics