Please use this identifier to cite or link to this item:
|Title:||Exact solutions of nonlinear conformally invariant integral equations in R3|
|Keywords:||Conformally invariant integral equation|
Method of moving spheres
|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|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Feb 22, 2018
WEB OF SCIENCETM
checked on Jan 29, 2018
checked on Feb 19, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.