Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.aim.2004.07.004
Title: Exact solutions of nonlinear conformally invariant integral equations in R3
Authors: Xu, X. 
Keywords: Conformally invariant integral equation
Exact solution
Method of moving spheres
Issue Date: 10-Jul-2005
Source: Xu, X. (2005-07-10). Exact solutions of nonlinear conformally invariant integral equations in R3. Advances in Mathematics 194 (2) : 485-503. ScholarBank@NUS Repository. https://doi.org/10.1016/j.aim.2004.07.004
Abstract: In this paper, we will study the entire positive C4 solutions of the geometrically interesting integral equation: u(x) = 1/8π ∫R3 x-y u-q(y) dy with 0 < q in R3. We will show that there are positive entire solutions which take the form u(x) = c(1+ x 2) 1/2 up to dilation and translations, only when q = 7. © 2004 Elsevier Inc. All rights reserved.
Source Title: Advances in Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/103219
ISSN: 00018708
DOI: 10.1016/j.aim.2004.07.004
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