On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spaces

Abstract

We prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L1(Ω).

Keywords

• elliptic problem
• entropy solutions
• weighted orlicz-sobolev spaces
• compact imbedding
• δ2-condition
• 46e35
• 35k60
• 35j20
• 35j25
• 35j60