Minimizers of a Class of Constrained Vectorial Variational Problems: Part I.

被引：0
|
作者：
Hichem Hajaiej
Peter A. Markowich
Saber Trabelsi
机构：
[1] King Saud University,Department of Mathematics, College of Science
[2] King Abdullah University of Science and Technology,Division of Math & Computer Sc & Eng
来源：
Milan Journal of Mathematics | 2014年 / 82卷
关键词：
12345; 54321; Vectorial Schrödinger; constrained minimization problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove the existence of minimizers of a class of multiconstrained variational problems. We consider systems involving a nonlinearity that does not satisfy compactness, monotonicity, neither symmetry properties. Our approach hinges on the concentration-compactness approach. In the second part, we will treat orthogonal constrained problems for another class of integrands using density matrices method.
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页码：81 / 98
页数：17
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