Existence of solution for two classes of elliptic problems in RN with zero mass

被引：38
作者：
Alves, Claudianor .
Souto, Marco A. S.
Montenegro, Marcelo [1 ]
机构：
[1] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083859 Campinas, SP, Brazil
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 10期
基金：
巴西圣保罗研究基金会;
关键词：
Nonlinear equations; Variational methods; Zero mass case; NONLINEAR SCHRODINGER-EQUATIONS;
D O I：
10.1016/j.jde.2012.01.041
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we show the existence of a positive solution for the following class of elliptic equations -Delta u = K(x)f(u) in R-N where f is a continuous function with quasicritical growth and K is a nonnegative function verifying some conditions of two kinds. We analyze the problem with K asymptotically periodic, K periodic and K belonging to some L. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：5735 / 5750
页数：16
相关论文
共 18 条
[1]   Nonlinear perturbations of a periodic elliptic problem with critical growth [J].
Alves, CO ;
Carriao, PC ;
Miyagaki, OH .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 260 (01) :133-146
[2]  
Ambrosetti A, 2005, DIFFER INTEGRAL EQU, V18, P1321
[3]  
Ambrosetti A, 2005, J EUR MATH SOC, V7, P117
[4]   Compactness results and applications to some "zero mass" elliptic problems [J].
Azzollini, A. ;
Pomponio, A. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) :3559-3576
[5]  
Azzollini A, 2007, ADV NONLINEAR STUD, V7, P599
[6]   Sum of weighted Lebesgue spaces and nonlinear elliptic equations [J].
Badiale, Marino ;
Pisani, Lorenzo ;
Rolando, Sergio .
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2011, 18 (04) :369-405
[7]   ABSTRACT CRITICAL-POINT THEOREMS AND APPLICATIONS TO SOME NON-LINEAR PROBLEMS WITH STRONG RESONANCE AT INFINITY [J].
BARTOLO, P ;
BENCI, V ;
FORTUNATO, D .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (09) :981-1012
[8]  
Benci V, 2006, PROG NONLINEAR DIFFE, V66, P53
[9]  
BERESTYCKI H, 1983, ARCH RATION MECH AN, V82, P313
[10]  
Cerami G., 1978, RC I LOMB SCI LETT, V112, P332
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