Sign-changing solutions of a p-Laplacian elliptic problem with constraint in RN

被引：3

作者：

Guo, Boling ^{[1
]}

Li, Qiaoxin ^{[2
]}

Li, Yongqing ^{[3
]}

机构：

[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[2] China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R China

[3] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 451卷 / 01期

关键词：

Sign-changing solutions; Variational methods; Pseudo-gradient vector field; EIGENVALUE PROBLEM; EQUATION; MULTIPLE;

D O I：

10.1016/j.jmaa.2017.01.091

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence of a sign-changing solution for a p-Laplacian elliptic problem with constraint in R-N. By constructing a pseudo gradient vector field and a descending flow, we obtain three solutions and among these solutions, one is positive, one is negative and one is sign-changing. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：604 / 622

页数：19

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