MULTIPLICITY RESULTS FOR A NONLINEAR ELLIPTIC PROBLEM INVOLVING THE FRACTIONAL LAPLACIAN

MULTIPLICITY RESULTS FOR A NONLINEAR ELLIPTIC PROBLEM INVOLVING THE FRACTIONAL LAPLACIAN

In this paper, we consider a class of superlinear elliptic problems involving trac- tional Laplacian （-△）s/2u = λf（u） in a bounded smooth domain with zero Diriehlet bound- ary condition. We use the method on harmonic extension to study the dependence of the number of sign-changing solutions on the p...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Acta mathematica scientia 2016-11, Vol.36 (6), p.1793-1803
1. Verfasser: 许勇强 谭忠 孙道恒
Format: Artikel
Sprache:eng
Schlagworte:
35J99
45E10
45G05
asymptotic
existence
fractional Laplacian
Laplacian
Sobolev trace inequality
分数阶
变号解
多重性
扩展方法
拉普拉斯
有界域
非线性椭圆问题
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we consider a class of superlinear elliptic problems involving trac- tional Laplacian （-△）s/2u = λf（u） in a bounded smooth domain with zero Diriehlet bound- ary condition. We use the method on harmonic extension to study the dependence of the number of sign-changing solutions on the parameter λ.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(16)30106-0