Some results in the theory of Orlicz spaces and applications to variational problems
Cianchi, Andrea
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Cianchi, Andrea
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Alberto Fiorenza, Miroslav Krbec (1997)
Commentationes Mathematicae Universitatis Carolinae
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We study connections between the Boyd indices in Orlicz spaces and the growth conditions frequently met in various applications, for instance, in the regularity theory of variational integrals with non-standard growth. We develop a truncation method for computation of the indices and we also give characterizations of them in terms of the growth exponents and of the Jensen means. Applications concern variational integrals and extrapolation of integral operators.
Capone, Claudia, Fiorenza, Alberto, Krbec, Miroslav (2006)
Journal of Inequalities and Applications [electronic only]
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Sandro Manservisi, Knut Heusermann (2000)
ESAIM: Control, Optimisation and Calculus of Variations
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Andrea Cianchi (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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