NODAL SOLUTIONS FOR SCHRODINGER-POISSON TYPE EQUATIONS IN R3

作者：Deng, Jin^*; Yang, Jianfu

来源：Electronic Journal of Differential Equations, 2016, 277.

• Schrodinger-Poisson equation
• Kirchhoff type problem
• nodal solution

In this article, we consider the existence of nodal solutions for the Schrodinger-Poisson type problem @@@ -(a + b integral(R3) vertical bar del u vertical bar(2) dx)Delta u + V(vertical bar x vertical bar u + phi u = vertical bar u vertical bar(p-2)u, in R-3, @@@ -Delta phi = u(2), lim(vertical bar x vertical bar ->infinity) phi(x) = 0, @@@ where a; b are positive constants, p is an element of (4, 6) and V (x) is a radial smooth function. For each k is an element of N+, we show the existence of to nodal solution changing sign exactly k times.

• 出版日期2016-10-18
• 单位江西师范大学