Nonlinear Elliptic Equations by Topological Degree in Musielak-Orlicz-Sobolev Spaces

Mustapha Ait Hammou; Elhoussine Azroul; Badr Lahmi; Academic Editor: Youssef EL FOUTAYENI

Research Communication | Open Access
Volume 2019 | Communication ID 58

Nonlinear Elliptic Equations by Topological Degree in Musielak-Orlicz-Sobolev Spaces

Mustapha Ait Hammou, Elhoussine Azroul, Badr Lahmi

Academic Editor: Youssef EL FOUTAYENI

Received	Accepted	Published
Jan 14, 2019	Jan 31, 2019	Mar 01, 2019

Abstract: We prove by using the topological degree theory the existence of at least one weak solution for the nonlinear elliptic equation: − div a1(x; grad u) + a0(x; u) = f(x; u; grad u) with homogeneous Dirichlet boundary condition in Musielak-Orlicz-Sobolev spaces.