Harmonic measures of perforated domains
Annalisa Malusa (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Annalisa Malusa (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Gianni Dal Maso, Rodica Toader (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Marc Briane, Nicoletta Tchou (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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M. Balzano, T. Durante (2003)
Bollettino dell'Unione Matematica Italiana
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{ll -div (|Duh|p-2 Duh)=g, & in D Eh uhH1,p0(D Eh). . where and are random subsets of a bounded open set of . By means of a variational approach, we study the asymptotic behaviour of solutions of , characterizing the limit problem for suitable sequences of random sets.
Ivan Netuka (1974)
Czechoslovak Mathematical Journal
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S. Kwapień (1969)
Studia Mathematica
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E. B. Fabes, D. S. Jerison, C. E. Kenig (1982)
Annales de l'institut Fourier
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We consider degenerated elliptic equations of the form Under suitable assumptions on , we obtain a characterization of Wiener type (involving weighted capacities) for the set of regular points for these operators. The set of regular points is shown to depend only on . The main tool we use is an estimate for the Green function in terms of .