Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604048 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2016 | 22 Pages |
Abstract
We prove sharp Hölder continuity and an estimate of rupture sets for sequences of solutions of the following nonlinear problem with negative exponentΔu=1upinΩ,p>1. As a consequence, we prove the existence of rupture solutions with isolated ruptures in a bounded convex domain in R2R2.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Juan Dávila, Kelei Wang, Juncheng Wei,