Article ID Journal Published Year Pages File Type
4613936 Journal of Mathematical Analysis and Applications 2016 14 Pages PDF
Abstract

We prove a Liouville type theorem for stable solutions of the equation −div(|Du|p−2Du)=f(u)−div(|Du|p−2Du)=f(u) in the whole space RNRN, where f   is a non-negative, non-decreasing and convex function. We apply that result to obtain another Liouville type theorem for non-negative solutions of similar equations in the half-space R+N.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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