A weak-strong convergence property and symmetry of minimizers of constrained variational problems in RN

被引：2

作者：

Hajaiej, Hichem ^{[2
]}

Kroemer, Stefan ^{[1
]}

机构：

[1] Univ Cologne, Math Inst, D-50923 Cologne, Germany

[2] King Saud Univ, Riyadh 11451, Saudi Arabia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 389卷 / 02期

关键词：

Symmetry; Iterated polarization; Weak-strong convergence; INTEGRAL FUNCTIONALS; LOWER SEMICONTINUITY; SYMMETRIZATION; SEQUENCES;

D O I：

10.1016/j.jmaa.2011.12.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a weak-strong convergence result for functionals of the form integral(RN) j(x, u, Du)dx on W-1.p, along equiintegrable sequences. We will then use it to study cases of equality in the extended Polya-Szego 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. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：915 / 931

页数：17

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