Generalised twists, , and the -energy over a space of measure preserving maps
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M. S. Shahrokhi-Dehkordi, A. Taheri (2009)
Annales de l'I.H.P. Analyse non linéaire
Fethi Kadhi (2002)
RAIRO - Operations Research - Recherche Opérationnelle
We investigate the minima of functionals of the formwhere is strictly convex. The admissible functions are not necessarily convex and satisfy on , , , is a fixed function on . We show that the minimum is attained by , the convex envelope of .
Fethi Kadhi (2010)
RAIRO - Operations Research
We investigate the minima of functionals of the form where g is strictly convex. The admissible functions are not necessarily convex and satisfy on [a,b], u(a)=f(a), u(b)=f(b), f is a fixed function on [a,b]. We show that the minimum is attained by , the convex envelope of f.
Zaslavski, Alexander J. (2002)
Abstract and Applied Analysis
Graziano Crasta, Annalisa Malusa (2003)
ESAIM: Control, Optimisation and Calculus of Variations
We consider minimization problems of the form where is a bounded convex open set, and the Borel function is assumed to be neither convex nor coercive. Under suitable assumptions involving the geometry of and the zero level set of , we prove that the viscosity solution of a related Hamilton–Jacobi equation provides a minimizer for the integral functional.
Graziano Crasta, Annalisa Malusa (2010)
ESAIM: Control, Optimisation and Calculus of Variations
We consider minimization problems of the form where is a bounded convex open set, and the Borel function is assumed to be neither convex nor coercive. Under suitable assumptions involving the geometry of Ω and the zero level set of f, we prove that the viscosity solution of a related Hamilton–Jacobi equation provides a minimizer for the integral functional.
Cuccu, Fabrizio, Jha, Kanhaiya, Porru, Giovanni (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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