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

被引：23

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

页码：369 / 376

页数：8

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