Existence result for a class of quasilinear elliptic systems under weak monotonicity

Farah Balaadich; Elhoussine Azroul; Academic Editor: Youssef EL FOUTAYENI

Research Communication | Open Access
Volume 2019 | Communication ID 64

Existence result for a class of quasilinear elliptic systems under weak monotonicity

Farah Balaadich, Elhoussine Azroul

Academic Editor: Youssef EL FOUTAYENI

Received	Accepted	Published
Jan 18, 2019	Feb 26, 2019	Mar 01, 2019

Abstract: In this paper, we prove the existence of weak solutions for a class of quasilinear elliptic systems in the setting of Sobolev spaces. The needed result is shown under weak monotonicity assumptions and the concept of Young measure.