English

Existence and nonexistence of solutions for p(x)-curl systems arising in electromagnetism

Analysis of PDEs 2017-12-05 v1

Abstract

In this paper, we study the existence and the nonexistence of solutions for a new class of p(x)p(x)-curl systems arising in electromagnetism. This work generalizes some results obtained in the pp-curl case. There seems to be no results on the nonexistence of solutions for curl systems with variable exponent.

Keywords

Cite

@article{arxiv.1712.01135,
  title  = {Existence and nonexistence of solutions for p(x)-curl systems arising in electromagnetism},
  author = {Anouar Bahrouni and Dušan Repovš},
  journal= {arXiv preprint arXiv:1712.01135},
  year   = {2017}
}