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Your search keyword '"Minimization problems"' showing total 2 results
Start Over Descriptor "Minimization problems" Journal esaim: control, optimisation & calculus of variations
2 results on '"Minimization problems"'

1. GROUND STATES FOR FRACTIONAL MAGNETIC OPERATORS.

Author

D'AVENIA, PIETRO and SQUASSINA, MARCO

Subjects
*MAGNETIC fields, *GROUND state (Quantum mechanics), *GAMMA functions, *FRACTIONS, *CALCULUS
Abstract

We study a class of minimization problems for a nonlocal operator involving an external magnetic potential. The notions are physically justified and consistent with the case of absence of magnetic fields. Existence of solutions is obtained via concentration compactness. [ABSTRACT FROM AUTHOR]

Published
2018
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2. A CHARACTERIZATION OF GRADIENT YOUNG-CONCENTRATION MEASURES GENERATED BY SOLUTIONS OF DIRICHLET-TYPE PROBLEMS WITH LARGE SOURCES.

Author

Croce, Gisella, Lacour, Catherine, and Michaille, Gérard

Subjects
*DIRICHLET integrals, *FOURIER series, *HYPERSURFACES, *HYPERSPACE, *FOURIER analysis
Abstract

We show how to capture the gradient concentration of the solutions of Dirichlet-type problems subjected to large sources of order 1/√ϵ concentrated on an e-neighborhood of a hypersurface of the domain. To this end we define the gradient Young-concentration measures generated by sequences of finite energy and establish a very simple characterization of these measures. [ABSTRACT FROM AUTHOR]

Published
2009
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