Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 342, Issue 2, Pages 943-949Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2007.12.064
Keywords
Bessel potential; radial symmetry; monotonicity
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In this paper we study radial symmetry and monotonicity of positive solutions of an integral equation arising from some higher-order semilinear elliptic equations in the whole space R-n. Instead of the usual method of moving planes, we use a new Hardy-Littlewood-Sobolev (HLS) type inequality for the Bessel potentials to establish the radial symmetry and monotonicity results. (C) 2007 Elsevier Inc. All rights reserved.
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