Existence of Solutions for Some Nonlinear Elliptic Anisotropic Unilateral Problems with Lower Order Terms

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Abstract

In this paper, we prove the existence of entropy solutions for anisotropic elliptic unilateral problem associated to the equations of the form

-i=1Niai(x,u,u)-i=1Niφi(u)=f,

where the right hand side f belongs to L1(Ω). The operator -i=1Niai(x,u,u) is a Leray-Lions anisotropic operator and ϕiC0(ℝ,ℝ).

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