POSITIVE SOLUTIONS FOR CRITICAL QUASILINEAR ELLIPTIC EQUATIONS WITH MIXED DIRICHLET-NEUMANN BOUNDARY CONDITIONS

被引：2

作者：

Ding, Ling ^{[1
,2
,3
]}

Tang, Chunlei ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] Hubei Univ Arts & Sci, Sch Math & Comp Sci, Xiangyang 441053, Hubei, Peoples R China

[3] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2013年 / 33卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Mixed Dirichlet-Neumann boundary; quasilinear elliptic equations; Sobolev critical exponents; Ekeland's variational principle; Mountain Pass Lemma; CRITICAL SOBOLEV; MULTIPLICITY; EXISTENCE; CONVERGENCE;

D O I：

10.1016/S0252-9602(13)60011-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence and multiplicity of positive solutions are studied for a class of quasilinear elliptic equations involving Sobolev critical exponents with mixed Dirichlet-Neumann boundary conditions by the variational methods and some analytical techniques.

引用

页码：443 / 470

页数：28

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