The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions

被引：357

作者：

Chen, Ching-yu ^{[1
]}

Kuo, Yueh-cheng ^{[1
]}

Wu, Tsung-fang ^{[1
]}

机构：

[1] Natl Univ Kaohsiung, Dept Appl Math, Kaohsiung 811, Taiwan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 250卷 / 04期

关键词：

Kirchhoff type equation; Nehari manifold; Fibering map; Sign-changing weight; SEMILINEAR ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; CONVEX NONLINEARITIES; EXACT MULTIPLICITY; GLOBAL SOLVABILITY; BIFURCATION; CONCAVE; PRINCIPLE;

D O I：

10.1016/j.jde.2010.11.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper examines a class of Kirchhoff type equations that involve sign-changing weight functions. Using Nehari manifold and fibering map, the existence of multiple positive solutions is established. (c) 2010 Elsevier Inc. All rights reserved.

引用

页码：1876 / 1908

页数：33

共 32 条

[1]

Adimurthy, 1997, DIFFER INTEGRAL EQU, V10, P1157

[2] Positive solutions for a quasilinear elliptic equation of Kirchhoff type [J].