Multiple nodal solutions of nonlinear Choquard equations
Date
2017-10-27
Authors
Huang, Zhihua
Yang, Jianfu
Yu, Weilin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we consider the existence of multiple nodal solutions of the nonlinear Choquard equation
-∆u + u = (|x|-1 ∗ |u|p)|u|p-2u in ℝ3,
u ∈ H1 (ℝ3),
where p ∈ (5/2, 5). We show that for any positive integer k, the above problem has at least one radially symmetrical solution changing sign exactly k-times.
Description
Keywords
Nonlinear Choquard equations, Nodal solutions, Nonlocal term
Citation
Huang, Z., Yang, J., & Yu, W. (2017). Multiple nodal solutions of nonlinear Choquard equations. <i>Electronic Journal of Differential Equations, 2017</i>(268), pp. 1-18.