带临界指数的奇异椭圆方程极小解的存在性

J4 ›› 2011, Vol. 46 ›› Issue (2): 29-33.

带临界指数的奇异椭圆方程极小解的存在性

李娟

宁波大学理学院, 浙江宁波 315211

收稿日期:2010-01-13 出版日期:2011-02-16 发布日期:2011-03-30
作者简介:李娟(1977- ),女,讲师,主要从事复分析和偏微分方程的研究. Email: juanjuan-li@163.com
基金资助:
国家自然科学基金资助项目(60872095);浙江省教育厅科研项目(Y201016044);宁波市科研基金资助项目(2009B21003)

Existence of a minimal solution for a singular elliptic equation involving critical exponents

LI Juan

College of Science, Ningbo University, Ningbo 315211, Zhejiang, China

Received:2010-01-13 Online:2011-02-16 Published:2011-03-30

摘要/Abstract

摘要：

研究了一个齐次奇异半线性椭圆方程。利用Ekeland变分原理和Brezis-Lieb 引理，证明了一定条件下方程局部极小解的存在性。

关键词: 奇异椭圆方程;Sobolev-Hardy不等式;Ekeland变分原理

Abstract:

A singular quasilinear homogeneous elliptic equation is studied. Using Ekeland’s variational principle and Brezis-Lieb lemma, the existence of a local minimal solution is proved under certain conditions.

Key words: singular elliptic equation; Sobolev-Hardy inequality; Ekeland’s variational principle

李娟. 带临界指数的奇异椭圆方程极小解的存在性[J]. J4, 2011, 46(2): 29-33.

LI Juan. Existence of a minimal solution for a singular elliptic equation involving critical exponents[J]. J4, 2011, 46(2): 29-33.

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