Non-linear elliptic unilateral problems in Musielak-Orlicz spaces with L1 data

Abstract

We prove an existence result of solutions for nonlinear elliptic unilateral problems having natural growth terms and L1 data in Musielak-Orlicz-Sobolev space W1Lφ, under the assumption that the conjugate function of φ satisfies the ∆2-condition.

Keywords

• Musielak-Orlicz spaces
• non-linear problems
• unilateral problems
• truncations