Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609722 | Journal of Differential Equations | 2016 | 40 Pages |
Abstract
We obtain a necessary condition and a sufficient condition, both expressed in terms of Wiener type tests involving the parabolic Wq′2,1-capacity, where q′=qq−1 and q>1q>1, for the existence of large solutions to equation ∂tu−Δu+uq=0∂tu−Δu+uq=0 in a non-cylindrical domain. We provide also a sufficient condition for the existence of such solutions to equation ∂tu−Δu+eu−1=0∂tu−Δu+eu−1=0. Besides, we apply our results to equation: ∂tu−Δu+a|∇u|p+buq=0∂tu−Δu+a|∇u|p+buq=0 for a,b>0a,b>0, 1
1q>1.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Quoc-Hung Nguyen, Laurent Véron,