On the radiality of constrained minimizers to the Schrodinger-Poisson-Slater energy

被引：19
|
作者：
Georgiev, Vladimir [1 ]
Prinari, Francesca [2 ]
Visciglia, Nicola [1 ]
机构：
[1] Univ Pisa, Dipartimento Matemat, I-56124 Pisa, Italy
[2] Univ Ferrara, Dipartimento Matemat, I-44100 Ferrara, Italy
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2012年 / 29卷 / 03期
关键词：
GROUND-STATES; STABILITY; SYMMETRY; UNIQUENESS; EXISTENCE;
D O I：
10.1016/j.anihpc.2011.12.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the radial symmetry of minimizers to the Schrodinger Poisson Slater (S-P-S) energy: inf (u is an element of H1 (R3) parallel to u parallel to L2(R3)=rho) 1/2 integral(R3) vertical bar del u(x)vertical bar(2)vertical bar+ 1/4 integral(R3) integral(R3) vertical bar u(x)vertical bar(2)vertical bar u(y)vertical bar(2)/x-y vertical bar dxdy - 1/p integral(R3) integral(R3)vertical bar u vertical bar(p)dx provided that 2 < p < 3 and rho is small. The main result shows that minimizers are radially symmetric modulo suitable translation. (C) 2012 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：369 / 376
页数：8
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