Please use this identifier to cite or link to this item:
|Title:||Exact solutions of nonlinear conformally invariant integral equations in R3||Authors:||Xu, X.||Keywords:||Conformally invariant integral equation
Method of moving spheres
|Issue Date:||10-Jul-2005||Citation:||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|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.