Exhaustions of John domains.
Väisälä, Jussi (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Väisälä, Jussi (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Stefan Bergman (1977)
Annales Polonici Mathematici
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Philip Hartman, Calvin Wilcox (1961)
Mathematische Zeitschrift
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A. Azzam (1983)
Annales Polonici Mathematici
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Mokeeva, N.V. (2005)
Zapiski Nauchnykh Seminarov POMI
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Paolo Maremonti, Remigio Russo (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Roberto Peirone (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We state that in opportune tubular domains any two points are connected by a bounce trajectory and that there exist non-trivial periodic bounce trajectories.
Roberto Peirone (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We state that in opportune tubular domains any two points are connected by a bounce trajectory and that there exist non-trivial periodic bounce trajectories.
Delanghe, Richard, Brackx, Freddy, Pincket, Willy
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Ladyženskaja, O. A.
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Jiaxin Hu, Xingsheng Wang (2006)
Studia Mathematica
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We consider post-critically finite self-similar fractals with regular harmonic structures. We first obtain effective resistance estimates in terms of the Euclidean metric, which in particular imply the embedding theorem for the domains of the Dirichlet forms associated with the harmonic structures. We then characterize the domains of the Dirichlet forms.