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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Andrea Cianchi (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Jan Malý, David Swanson, William P. Ziemer (2009)
Studia Mathematica
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For functions whose derivatives belong to an Orlicz space, we develop their "fine" properties as a generalization of the treatment found in [MZ] for Sobolev functions. Of particular importance is Theorem 8.8, which is used in the development in [MSZ] of the coarea formula for such functions.
Zhikov, V.V. (2004)
Journal of Mathematical Sciences (New York)
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Aïssaoui, Noureddine (2004)
Abstract and Applied Analysis
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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.
Ha Huy Bang, Mai Thi Thu (2002)
Journal of Inequalities and Applications [electronic only]
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