TY - JOUR
T1 - Minimizers of a Class of Constrained Vectorial Variational Problems: Part I
AU - Hajaiej, Hichem
AU - Markowich, Peter A.
AU - Trabelsi, Saber
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The 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.
PY - 2014/4/18
Y1 - 2014/4/18
N2 - 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. © 2014 Springer Basel.
AB - 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. © 2014 Springer Basel.
UR - http://hdl.handle.net/10754/563504
UR - http://arxiv.org/abs/arXiv:1310.2517v1
UR - http://www.scopus.com/inward/record.url?scp=84901236456&partnerID=8YFLogxK
U2 - 10.1007/s00032-014-0218-6
DO - 10.1007/s00032-014-0218-6
M3 - Article
SN - 1424-9286
VL - 82
SP - 81
EP - 98
JO - Milan Journal of Mathematics
JF - Milan Journal of Mathematics
IS - 1
ER -