Existence and symmetry of least energy solutions for a class of quasi-linear elliptic equations

被引：10

作者：

Jeanjean, Louis ^{[1
]}

Squassina, Marco ^{[2
]}

机构：

[1] Univ Franche Comte, UMR 6623, Math Lab, F-25030 Besancon, France

[2] Univ Verona, Dipartimento Informat, I-37134 Verona, Italy

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2009年 / 26卷 / 05期

关键词：

Least energy solutions; Radial symmetry; Quasi-linear equations; Nonsmooth critical point theory; Pucci-Serrin variational identity; CRITICAL-POINT THEORY; INTEGRAL FUNCTIONALS; LOWER SEMICONTINUITY; FIELD-EQUATIONS; REGULARITY; CALCULUS; IDENTITY; MINIMUM;

D O I：

10.1016/j.anihpc.2008.11.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a general class of autonomous quasi-linear elliptic equations on R(n) we prove the existence of a least energy solution and show that all least energy solutions do not change sign and are radially symmetric up to a translation in R(n). (C) 2008 Elsevier Masson SAS. All rights reserved.

引用

页码：1701 / 1716

页数：16

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