Radial symmetry and monotonicity for an integral equation

By Li Ma, Dezhong Chen. 2008

67 citations recorded by the source corpus.

Abstract 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.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/4b247c4f35653b99b6938614c5703bc38f0d76a1

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In Applied Mathematics

1. Patricio Felmer
2. Y. Wang
3. Alexander Quaas

Citations in the corpus

• Radial symmetry of positive solutions to equations involving the fractional laplacian (2013, methodology): “Great attention has also been devoted to symmetry results for equations involving the fractional Laplacian in R , such as in the work by Li [19] and Chen, Li and Ou [8, 9], where the method of moving planes in integral form has been developed to treat various equations and systems, see also Ma and C”