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Inégalité isopérimétrique et calibration

Frédéric Helein (1994)

Annales de l'institut Fourier

On montre que l’inégalité isopérimétrique pour un domaine dans le plan euclidien, la sphère de dimension 2, ou l’espace hyperbolique de dimension 2, peut s’obtenir à l’aide d’une calibration.

Interactive compromise hypersphere method and its applications

Sebastian Sitarz (2012)

RAIRO - Operations Research - Recherche Opérationnelle

The paper focuses on multi-criteria problems. It presents the interactive compromise hypersphere method with sensitivity analysis as a decision tool in multi-objective programming problems. The method is based on finding a hypersphere (in the criteria space) which is closest to the set of chosen nondominated solutions. The proposed modifications of the compromise hypersphere method are based on using various metrics and analyzing their influence on the original method. Applications of the proposed...

Interactive compromise hypersphere method and its applications

Sebastian Sitarz (2012)

RAIRO - Operations Research

The paper focuses on multi-criteria problems. It presents the interactive compromise hypersphere method with sensitivity analysis as a decision tool in multi-objective programming problems. The method is based on finding a hypersphere (in the criteria space) which is closest to the set of chosen nondominated solutions. The proposed modifications of the compromise hypersphere method are based on using various metrics and analyzing their influence on the original method. Applications of the proposed...

Invariant variational problems on principal bundles and conservation laws

Ján Brajerčík (2011)

Archivum Mathematicum

In this work, we consider variational problems defined by G -invariant Lagrangians on the r -jet prolongation of a principal bundle P , where G is the structure group of P . These problems can be also considered as defined on the associated bundle of the r -th order connections. The correspondence between the Euler-Lagrange equations for these variational problems and conservation laws is discussed.

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