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

作者：Hajaiej Hichem^*; Markowich Peter A; Trabelsi Saber

来源：Milan Journal of Mathematics, 2014, 82(1): 81-98.

DOI：10.1007/s00032-014-0218-6

• Vectorial Schrodinger
• constrained minimization problem

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.

• 出版日期2014-6