A Classification of Positive Solutions of Some Integral Systems

Feiyao Ma; Xiaotao Huang; Lihe Wang

doi:10.1007/s00020-010-1845-0

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A Classification of Positive Solutions of Some Integral Systems

Journal article

Peer reviewed

A Classification of Positive Solutions of Some Integral Systems

Feiyao Ma, Xiaotao Huang and Lihe Wang

Integral equations and operator theory, Vol.69(3), pp.393-404

03/2011

DOI: 10.1007/s00020-010-1845-0

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Abstract

In this paper, we investigate the symmetry of some nonlinear integral systems with Riesz potentials. With the method of moving planes, we study the symmetry of positive solutions in two cases, on R n and on bounded domains. These results can be extended to integral equations with Bessel potentials.

integral equation systems

45P05

Analysis

Primary 45K05

Riesz potentials and Bessel potentials

Secondary 35J67

moving planes

Mathematics

symmetry and monotonicity

Details

Title: Subtitle: A Classification of Positive Solutions of Some Integral Systems
Creators: Feiyao Ma - Department of Mathematics Xi’an Jiaotong University Xi’an 710049 People’s Republic of China
Xiaotao Huang - Department of Mathematics Xi’an Jiaotong University Xi’an 710049 People’s Republic of China
Lihe Wang - The University of Iowa Iowa City IA 52242-1419 USA
Resource Type: Journal article
Publication Details: Integral equations and operator theory, Vol.69(3), pp.393-404
Publisher: SP Birkhäuser Verlag Basel
DOI: 10.1007/s00020-010-1845-0
ISSN: 0378-620X
eISSN: 1420-8989
Language: English
Date published: 03/2011
Academic Unit: Mathematics
Record Identifier: 9984083258202771

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