Multiple positive solutions for semi-linear elliptic systems with sign-changing weight

被引：11

作者：

Fan, Haining ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 409卷 / 01期

关键词：

Nehari manifold; Critical Sobolev exponent; Semi-linear elliptic system; Lusternik-Schnirelmann category; Multiple positive solutions; NEHARI MANIFOLD; EQUATIONS; CONCAVE;

D O I：

10.1016/j.jmaa.2013.07.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the multiplicity results of positive solutions for a semi-linear elliptic system involving both concave convex and critical growth terms. With the help of the Nehari manifold and the Lusternik Schnirelmann category, we investigate how the coefficient h(x) of the critical nonlinearity affects the number of positive solutions of that problem and get a relationship between the number of positive solutions and the topology of the global maximum set of h. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：399 / 408

页数：10

共 50 条

[21] Multiple sign-changing solutions of an elliptic eigenvalue problem
Qian, AX
Li, SJ
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2005, 12 (04) : 737 - 746
[22] Positive mountain pass solutions for a semilinear elliptic equation with a sign-changing weight function
Afrouzi, GA
Brown, KJ
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (03) : 409 - 416
[23] Three positive solutions for a semilinear elliptic equation in RN involving sign-changing weight
Wu, Tsung-fang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (12) : 4112 - 4130
[24] Multiple positive solutions for a class of concave-convex elliptic problems in RN involving sign-changing weight
Wu, Tsung-fang
JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 258 (01) : 99 - 131
[25] Existence of Positive Solutions for an Elliptic System with Sign-Changing Weights
Shakeri, S.
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2024, 51 (01): : 15 - 20
[26] Positive solutions of semi-linear elliptic equations with absorption
Marcus, Moshe
ALEXANDRU MYLLER MATHEMATICAL SEMINAR, 2011, 1329 : 170 - 180
[27] On the positive Solutions of certain semi-linear elliptic equations
Agarwal, Ravi P.
Mustafa, Octavian G.
Popescu, Liviu
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2009, 16 (01) : 49 - 57
[28] Positive solutions for a semilinear elliptic problem with sign-changing nonlinearity
Afrouzi, GA
Brown, KJ
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 36 (04) : 507 - 510
[29] Positive solutions for a semilinear elliptic problem with sign-changing nonlinearity
Mazandaran Univ, Babolsar, Iran
Nonlinear Anal Theory Methods Appl, 4 (507-510):
[30] Multiple solutions for a class of infinitely degenerate elliptic equations with a sign-changing weight function
Tian, Shuying
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (18) : 6987 - 6998

← 1 2 3 4 5 →