On a nonlocal elliptic problem
Volume 26 / 1999
Applicationes Mathematicae 26 (1999), 107-119
DOI: 10.4064/am-26-1-107-119
Abstract
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.
