Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6891769 | Computers & Mathematics with Applications | 2018 | 12 Pages |
Abstract
In this paper, we investigate the existence of ground state sign-changing solutions for a class of Choquard equations ââ³u+(1+λf(x))u=(Iαâk|u|p)k(x)|u|pâ2u+|u|2ââ2u,xâRN,where k and f are nonnegative functions, Nâ¥3, 2â=2NNâ2, pâ2,N+αNâ2, âλ1<λ<0 and λ1 is the first eigenvalue of the equation ââ³u+u=λf(x)u in H1(RN). Using the sign-changing Nehari manifold, we prove that the Choquard equation has at least one ground state sign-changing solution. This paper can be regarded as the complementary work of Ghimenti and Van Schaftingen (2016), Van Schaftingen and Xia (2017).
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Xiao-Jing Zhong, Chun-Lei Tang,