Conformally invariant systems of nonlinear PDE of Liouville type

S. Chanillo; M. K.H. Kiessling

doi:10.1007/BF01902215

Conformally invariant systems of nonlinear PDE of Liouville type

S. Chanillo, M. K.H. Kiessling

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

84 Scopus citations

Abstract

We establish a strict isoperimetric inequality and a Pohozaev-Rellich identity for the system[Figure not available: see fulltext.]i∈I = {1,..., N} under certain reasonable conditions on the γ^ιJ and u_ι. Thus we prove that under these conditions, all solutions u_ι are radial symmetric and decreasing about some point.

Original language	English (US)
Pages (from-to)	924-947
Number of pages	24
Journal	Geometric and Functional Analysis
Volume	5
Issue number	6
DOIs	https://doi.org/10.1007/BF01902215
State	Published - Nov 1995

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

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10.1007/BF01902215

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abstract = "We establish a strict isoperimetric inequality and a Pohozaev-Rellich identity for the system[Figure not available: see fulltext.]i∈I = {1,..., N} under certain reasonable conditions on the γιJ and uι. Thus we prove that under these conditions, all solutions uι are radial symmetric and decreasing about some point.",

author = "S. Chanillo and Kiessling, {M. K.H.}",

year = "1995",

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AU - Kiessling, M. K.H.

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N2 - We establish a strict isoperimetric inequality and a Pohozaev-Rellich identity for the system[Figure not available: see fulltext.]i∈I = {1,..., N} under certain reasonable conditions on the γιJ and uι. Thus we prove that under these conditions, all solutions uι are radial symmetric and decreasing about some point.

AB - We establish a strict isoperimetric inequality and a Pohozaev-Rellich identity for the system[Figure not available: see fulltext.]i∈I = {1,..., N} under certain reasonable conditions on the γιJ and uι. Thus we prove that under these conditions, all solutions uι are radial symmetric and decreasing about some point.

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DO - 10.1007/BF01902215

M3 - Article

AN - SCOPUS:21844521950

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JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

IS - 6

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Conformally invariant systems of nonlinear PDE of Liouville type

Abstract

All Science Journal Classification (ASJC) codes

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