Open AccessConformally invariant systems of nonlinear PDE of Liouville type
Author(s) -
Sagun Chanillo,
Michael K.H. Kiessling
Publication year - 1995
Publication title -
geometric and functional analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.952
H-Index - 77
eISSN - 1420-8970
pISSN - 1016-443X
DOI - 10.1007/bf01902215
Subject(s) - mathematics , isoperimetric inequality , invariant (physics) , nonlinear system , pure mathematics , type (biology) , mathematical analysis , mathematical physics , ecology , physics , quantum mechanics , biology
We establish a strict isoperimetric inequality and a Pohozaev-Rellich identity for the systemi?I = {1,...,N} under certain reasonable conditions on the ??J andu?. Thus we prove that under these conditions, all solutionsu? are radial symmetric and decreasing about some point.
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