Multiple positive solutions for a class of nonlinear elliptic equations

被引:1
作者
Weng, SH [1 ]
Li, YQ [1 ]
机构
[1] Fujian Normal Univ, Dept Math, Fuzhou 350007, Peoples R China
关键词
multiple positive solutions; elliptic equation; Hardy inequality; critical point;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper deals with a class of nonlinear elliptic Dirichlet boundary value problems where the combined effects of a sublinear and a superlinear term allow us to establish some existence and multiplicity results.
引用
收藏
页码:47 / 56
页数:10
相关论文
共 13 条
[1]   COMBINED EFFECTS OF CONCAVE AND CONVEX NONLINEARITIES IN SOME ELLIPTIC PROBLEMS [J].
AMBROSETTI, A ;
BREZIS, H ;
CERAMI, G .
JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 122 (02) :519-543
[2]  
Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7
[3]  
Azorero JPG, 1998, J DIFFER EQUATIONS, V144, P441
[4]   A RELATION BETWEEN POINTWISE CONVERGENCE OF FUNCTIONS AND CONVERGENCE OF FUNCTIONALS [J].
BREZIS, H ;
LIEB, E .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 88 (03) :486-490
[5]  
CAFFARELLI L, 1984, COMPOS MATH, V53, P259
[6]   AN EXISTENCE RESULT FOR NONLINEAR ELLIPTIC PROBLEMS INVOLVING CRITICAL SOBOLEV EXPONENT [J].
CAPOZZI, A ;
FORTUNATO, D ;
PALMIERI, G .
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1985, 2 (06) :463-470
[7]   Multiple positive solutions for a class of nonlinear elliptic equations [J].
Chen, JQ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 295 (02) :341-354
[8]   Existence of solutions for a nonlinear PDE with an inverse square potential [J].
Chen, JQ .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 195 (02) :497-519
[9]   A GENERAL MOUNTAIN PASS PRINCIPLE FOR LOCATING AND CLASSIFYING CRITICAL-POINTS [J].
GHOUSSOUB, N ;
PREISS, D .
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1989, 6 (05) :321-330
[10]   The role played by space dimension in elliptic critical problems [J].
Jannelli, E .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1999, 156 (02) :407-426