EXISTENCE OF SOLUTIONS TO NONLOCAL ELLIPTIC EQUATIONS WITH DISCONTINUOUS TERMS

Julio Francisco, Corrˆ Corrˆea, Rubia Corrˆea, Nascimento
2012 Electronic Journal of Differential Equations   unpublished
In this article, we study the existence of nonnegative solutions for the elliptic partial differential equation −[M (u p 1,p)] 1,p ∆pu = f (x, u) in Ω, u = 0 on ∂Ω, where Ω ⊂ R N is a bounded smooth domain, f : Ω×R + → R is a discontinuous nonlinear function.
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