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A Note on the Existence of Positive Solutions for a Fourth-Order Semilinear Elliptic System
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作者 yu xia guo guang zhong chen 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第7期1263-1276,共14页
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 c... 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. 展开更多
关键词 topological degree theory a prior estimate fourth-order system Liouville theorem
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