On a nonlocal elliptic problem
Applicationes Mathematicae, Tome 26 (1999) no. 1, pp. 107-119.

Voir la notice de l'article provenant de 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

Andrzej Raczyński 1

1
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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. http://geodesic.mathdoc.fr/articles/10.4064/am-26-1-107-119/

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