On a nonlocal elliptic problem
Applicationes Mathematicae, Tome 26 (1999) no. 1, pp. 107-119
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We study stationary solutions of the system $u_t = ∇ ((m-1)/m ∇u^m + u∇φ)$, 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.
DOI :
10.4064/am-26-1-107-119
Keywords:
electrodiffusion of ions, nonlinear elliptic problem, theory of semiconductors
Affiliations des auteurs :
Andrzej Raczyński 1
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author = {Andrzej Raczy\'nski},
title = {On a nonlocal elliptic problem},
journal = {Applicationes Mathematicae},
pages = {107--119},
year = {1999},
volume = {26},
number = {1},
doi = {10.4064/am-26-1-107-119},
zbl = {0995.35023},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am-26-1-107-119/}
}
Andrzej Raczyński. On a nonlocal elliptic problem. Applicationes Mathematicae, Tome 26 (1999) no. 1, pp. 107-119. doi: 10.4064/am-26-1-107-119
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