English

Existence and a priori estimates of solutions for quasilinear singular elliptic systems with variable exponents

Analysis of PDEs 2017-07-28 v1

Abstract

This article sets forth results on the existence, a priori estimates and boundedness of positive solutions of a singular quasilinear systems of elliptic equations involving variable exponents. The approach is based on Schauder's fixed point Theorem. A Moser iteration procedure is also obtained for singular cooperative systems involving variable exponents establishing a priori estimates and boundedness of solutions.

Keywords

Cite

@article{arxiv.1707.08649,
  title  = {Existence and a priori estimates of solutions for quasilinear singular elliptic systems with variable exponents},
  author = {Abdelkrim Moussaoui and Jean Vélin},
  journal= {arXiv preprint arXiv:1707.08649},
  year   = {2017}
}

Comments

16 pages