The p-Laplacian in domains with small random holes
Balzano, M. ; Durante, T.
Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003), p. 435-458 / Harvested from Biblioteca Digitale Italiana di Matematica
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We investigate sequences of nonlinear Dirichlet problems of the form \begin{equation*} \tag{Ph} \begin{cases} -\text{div}\,(|Du_{h}|^{p-2} Du_{h})=g, \& \text{in } D \setminus E_{h} \\ u_{h}\in H^{1,p}_{0}(D \setminus E_{h}). \end{cases} \end{equation*} where 2≤p≤n and Eh are random subsets of a bounded open set D of Rnn≥2. By means of a variational approach, we study the asymptotic behaviour of solutions of Ph, characterizing the limit problem for suitable sequences of random sets.

Attraverso un metodo variazionale, si studia un processo di omogeneizzazione relativo al p-Laplaciano in regioni perforate in maniera stocastica. Per particolari distribuzioni aleatorie dei buchi si caratterizza pienamente il problema limite.

Publié le : 2003-06-01
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     author = {M. Balzano and T. Durante},
     title = {The $p$-Laplacian in domains with small random holes},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {6-A},
     year = {2003},
     pages = {435-458},
     zbl = {1177.35061},
     mrnumber = {1988215},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2003_8_6B_2_435_0}
}

Balzano, M.; Durante, T. The $p$-Laplacian in domains with small random holes. Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003) pp. 435-458. http://gdmltest.u-ga.fr/item/BUMI_2003_8_6B_2_435_0/

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