| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4621284 | Journal of Mathematical Analysis and Applications | 2008 | 7 Pages |
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 Rn. 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
