EXISTENCE OF STEADY STATES FOR THE MAXWELL-SCHRODINGER-POISSON SYSTEM: EXPLORING THE APPLICABILITY OF THE CONCENTRATION-COMPACTNESS PRINCIPLE

被引：43

作者：

Catto, I. ^{[1
]}

Dolbeault, J. ^{[1
]}

Sanchez, O. ^{[2
]}

Soler, J. ^{[2
]}

机构：

[1] Univ Paris 09, CEREMADE, CNRS, UMR 7534, F-75775 Paris 16, France

[2] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2013年 / 23卷 / 10期

关键词：

Steady states; variational methods; subadditivity inequality; constrained minimization; sharp nonexistence. L-2-norm constraint; Schrodinger-Poisson; Maxwell-Schrodinger; Schrodinger-Poisson-X-alpha; concentration-compactness; standing waves; semiconductors; plasma physics; ASYMPTOTIC-BEHAVIOR; CALCULUS; MINIMIZERS; STABILITY; MOLECULES; EQUATIONS; HARTREE; WAVES; ATOMS;

D O I：

10.1142/S0218202513500541

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper reviews recent results and open problems concerning the existence of steady states to the Maxwell-Schrodinger system. A combination of tools, proofs and results are presented in the framework of the concentration-compactness method.

引用

页码：1915 / 1938

页数：24

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