Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617032 | Journal of Mathematical Analysis and Applications | 2012 | 10 Pages |
Abstract
We study a non-linear minimization problem on H01(Ω)⊂Lq with q=2nn−2: inf‖u‖Lq=1∫Ω(1+|x|β|u|k)|∇u|2. We show that minimizers exist only for the range β
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Soohyun Bae, Rejeb Hadiji, François Vigneron, Habib Yazidi,