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

作     者：丁凌 唐春雷 

作者机构：School of Mathematics and StatisticsSouthwest University School of Mathematics and Computer ScienceHubei University of Arts and Science Institute of Applied Physics and Computational Mathematics of Beijing 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2013年第33卷第2期

页      面：443-470页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by National Natural Science Foundation of China (11071198 11101347) Postdoctor Foundation of China (2012M510363) the Key Project in Science and Technology Research Plan of the Education Department of Hubei Province (D20112605 D20122501) 

主　　题：Mixed Dirichlet-Neumann boundary quasilinear elliptic equations Sobolev critical exponents Ekeland's variational principle Mountain Pass Lemma 

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