Article ID Journal Published Year Pages File Type
6419268 Journal of Mathematical Analysis and Applications 2012 17 Pages PDF
Abstract

We prove a weak-strong convergence result for functionals of the form ∫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.

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Physical Sciences and Engineering Mathematics Analysis
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