Minimizers of a Class of Constrained Vectorial Variational Problems: Part I. |
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| Authors: | Hichem Hajaiej Peter A. Markowich Saber Trabelsi |
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| Affiliation: | 1. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia
2. Division of Math & Computer Sc & Eng, King Abdullah University of Science and Technology, Thuwal, 23955-6900, Saudi Arabia
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| Abstract: | 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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