Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419268 | Journal of Mathematical Analysis and Applications | 2012 | 17 Pages |
Abstract
We prove a weak-strong convergence result for functionals of the form â«RNj(x,u,Du)dx on W1,p, along equiintegrable sequences. We will then use it to study cases of equality in the extended Polya-Szegö inequality and discuss applications of such a result to prove the symmetry of minimizers of a class of variational problems including nonlocal terms under multiple constraints.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hichem Hajaiej, Stefan Krömer,