Minimizers of a class of constrained vectorial variational problems: Part I

Hichem Hajaiej; Peter A. Markowich; Saber Trabelsi

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arXiv · 1310.2517

Minimizers of a class of constrained vectorial variational problems: Part I

Hichem Hajaiej·Peter A. Markowich·Saber Trabelsi

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Abstract

In this paper, we prove the existence of minimizers of a class of multi-constrained 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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Hichem Hajaiej, Peter A. Markowich, Saber Trabelsi. 2013-10-09. Minimizers of a class of constrained vectorial variational problems: Part I. https://arxiv.org/abs/1310.2517

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