MULTIPLE NODAL SOLUTIONS OF NONLINEAR CHOQUARD EQUATIONS

作者：Huang, Zhihua^*; Yang, Jianfu; Yu, Weilin

来源：Electronic Journal of Differential Equations, 2017, 268.

• Nonlinear Choquard equations
• nodal solutions
• nonlocal term

In this article, we consider the existence of multiple nodal solutions of the nonlinear Choquard equation @@@ -Delta u + u = (vertical bar x vertical bar(-1) * vertical bar u vertical bar(p)) vertical bar u vertical bar(p-2)u in R-3, u is an element of H-1 (R-3), @@@ where p is an element of (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.

• 出版日期2017-10-27
• 单位江西师范大学