TITLE

Quantitative analysis of some system of integral equations

AUTHOR(S)
Chao Jin; Congming Li
PUB. DATE
August 2006
SOURCE
Calculus of Variations & Partial Differential Equations;Aug2006, Vol. 26 Issue 4, p447
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper, we study the integrability of the non-negative solutions to the Euler-Lagrange equations associated with Weighted Hardy-Littlewood-Sobolev (HLS) inequality. We obtain the optimal integrability for the solutions. The integrability and the radial symmetry (which we derived in our earlier paper) are the key ingredients to study the growth rate at the center and the decay rate at infinity of the solutions. These are also the essential properties needed to classify all non-negative solutions. Some simple generalizations are also provided here.
ACCESSION #
20924998

 

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