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

Hichem Hajaiej; Peter A. Markowich; Saber Trabelsi

doi:10.1007/s00032-014-0218-6

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

Hichem Hajaiej, Peter A. Markowich, Saber Trabelsi

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5 Scopus citations

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. © 2014 Springer Basel.

Original language	English (US)
Pages (from-to)	81-98
Number of pages	18
Journal	Milan Journal of Mathematics
Volume	82
Issue number	1
DOIs	https://doi.org/10.1007/s00032-014-0218-6
State	Published - Apr 18 2014

Bibliographical note

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.

ASJC Scopus subject areas

General Mathematics

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10.1007/s00032-014-0218-6

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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. {\textcopyright} 2014 Springer Basel.",

author = "Hichem Hajaiej and Markowich, {Peter A.} and Saber Trabelsi",

note = "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.",

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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.

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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

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DO - 10.1007/s00032-014-0218-6

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JO - Milan Journal of Mathematics

JF - Milan Journal of Mathematics

IS - 1

ER -

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

Abstract

Bibliographical note

ASJC Scopus subject areas

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