The Nehari Manifold and Application to a Quasilinear Elliptic Equation with Multiple Hardy-Type Terms  

作　　者：NYAMORADI N. SHEKARBIGI M. RAZLANSARI A. YAVARI M. 

机构地区：[1]Department of Mathematics, Faculty of Sciences, Razi University,67149 Kermanshah, Iran.

出　　处：《Journal of Partial Differential Equations》2013年第3期193-216,共24页偏微分方程（英文版）

摘　　要：In this paper, by using the Nehari manifold and variational methods, we study the existence and multiplicity of positive solutions for a multi-singular quasilinear elliptic problem with critical growth terms in bounded domains. We prove that the equation has at least two positive solutions when the parameters A belongs to a certain subset of JR.

关 键 词：Nehari manifold quasilinear elliptic equation Sobolev critical exponent. 

分 类 号：O175.25[理学—数学]