On a nonlocal elliptic problem

Raczyński, Andrzej

Applicationes Mathematicae, Tome 26 (1999), p. 107-119 / Harvested from The Polish Digital Mathematics Library

Résumé

We study stationary solutions of the system $u_{t} = \nabla ((m - 1) / m \nabla u^{m} + u \nabla φ)$ , m => 1, Δφ = ±u, defined in a bounded domain Ω of $ℝ^{n}$ . The physical interpretation of the above system comes from the porous medium theory and semiconductor physics.

Publié le : 1999-01-01

Zbl 0995.35023

EUDML-ID : urn:eudml:doc:219223

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     author = {Andrzej Raczy\'nski},
     title = {On a nonlocal elliptic problem},
     journal = {Applicationes Mathematicae},
     volume = {26},
     year = {1999},
     pages = {107-119},
     zbl = {0995.35023},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv26i1p107bwm}
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Raczyński, Andrzej. On a nonlocal elliptic problem. Applicationes Mathematicae, Tome 26 (1999) pp. 107-119. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv26i1p107bwm/

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