Minimizers of a Class of Constrained Vectorial Variational Problems: Part I
KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Applied Mathematics and Computational Science Program
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AbstractIn 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. © 2014 Springer Basel.
SponsorsThe first author thanks the Deanship of Scientific Research at King Saud University for funding the work through the research group project No. RGP-VPP-124.
PublisherSpringer Science + Business Media
JournalMilan Journal of Mathematics