On the mass concentration of L-2-constrained minimizers for a class of Schrodinger-Poisson equations

作者：Ye, Hongyu^*; Luo, Tingjian

来源：Zeitschrift fur Angewandte Mathematik und Physik, 2018, 69(3): 66.

DOI：10.1007/s00033-018-0963-4

• Normalized solutions
• L-2-subcritical
• L-2-supercritical
• Mass concentration
• Schrodinger-Poisson equation

In this paper, we study the mass concentration behavior of positive solutions with prescribed -norm for a class of Schrodinger-Poisson equations in
{-Delta u - mu u + phi(u)u - broken vertical bar u broken vertical bar (p-2) u = 0, x is an element of R-3, mu is an element of R, -Delta phi(u) = broken vertical bar u broken vertical bar(2),
where p is an element of (2, 6). We show that positive solutions with prescribed -norm as which tends to 0 (in some cases) or to (in others), behave like the positive solution of Schrodinger equation in -Delta(u) + u = broken vertical bar u broken vertical bar (p-2) u in R-3.

• 出版日期2018-6
• 单位武汉科技大学; 广州大学