Strongly nonlinear potential theory on metric spaces.
Aïssaoui, Noureddine (2002)
Abstract and Applied Analysis
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Displaying similar documents to “Another extension of Orlicz--Sobolev spaces to metric spaces.”
Strongly nonlinear potential theory on metric spaces.
On a necessary condition in the calculus of variations in Orlicz-Sobolev spaces
Elhoussine Azroul, Abdelmoujib Benkirane (2001)
Mathematica Slovaca
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Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems
Andrea Cianchi (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Orlicz-Sobolev spaces with zero boundary values on metric spaces.
Aïssaoui, Noureddine (2004)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces
Takao Ohno, Tetsu Shimomura (2016)
Czechoslovak Mathematical Journal
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We define and study Musielak-Orlicz-Sobolev spaces with zero boundary values on any metric space endowed with a Borel regular measure. We extend many classical results, including completeness, lattice properties and removable sets, to Musielak-Orlicz-Sobolev spaces on metric measure spaces. We give sufficient conditions which guarantee that a Sobolev function can be approximated by Lipschitz continuous functions vanishing outside an open set. These conditions are based on Hardy type...
Some results in the theory of Orlicz spaces and applications to variational problems
Cianchi, Andrea
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On the uniformly normal structure of Orlicz spaces with Orlicz norm
Ting Fu Wang, Zhong Rui Shi (1993)
Commentationes Mathematicae Universitatis Carolinae
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We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the reflexivity.