Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613936 | Journal of Mathematical Analysis and Applications | 2016 | 14 Pages |
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
Authors
Phuong Le,