Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5471517 | Applied Mathematics Letters | 2018 | 9 Pages |
Abstract
Consider nonlinear Choquard equations âÎu+u=(IαâF(u))Fâ²(u)in RN,limxââu(x)=0,where Iα denotes Riesz potential and αâ(0,N). In this paper, we show that when F is doubly critical, i.e. F(u)=NN+α|u|N+αN+Nâ2N+α|u|N+αNâ2, the nonlinear Choquard equation admits a nontrivial solution if Nâ¥5 and α+4
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Jinmyoung Seok,