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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Published in | Acta mathematica Sinica. English series Vol. 26; no. 7; pp. 1263 - 1276 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Heidelberg
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
01.07.2010
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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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. |
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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 |