A Note on the Existence of Positive Solutions for a Fourth-Order Semilinear Elliptic System

In this note, we prove the existence of positive solutions to a class of biharmonical systems. Our main ingredients are proving a Liouville type result for biharmonical system in R＋^N via the method of moving plane combined with integral inequality, and establishing a prior estimates for positive so...

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 26; no. 7; pp. 1263 - 1276
Main Authors Guo, Yu Xia, Chen, Guang Zhong
Format Journal Article
LanguageEnglish
Published Heidelberg Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.07.2010
Springer Nature B.V
Subjects
Estimates
Inequalities
Inequality
Ingredients
Integrals
l系统
Mathematical analysis
Mathematics
Mathematics and Statistics
Planes
Theorems
半线性椭圆系统
正解的存在性
积分不等式
解的先验估计
35J65
estimate
topological degree theory
fourth-order system
Liouville theorem
58A05
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Summary:In this note, we prove the existence of positive solutions to a class of biharmonical systems. Our main ingredients are proving a Liouville type result for biharmonical system in R＋^N via the method of moving plane combined with integral inequality, and establishing a prior estimates for positive solutions of the system via the blowing-up method.
Bibliography:O175.25
topological degree theory, a prior estimate, fourth-order system, Liouville theorem
11-2039/O1
O175.2
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-010-8042-6