Non-local Gel'fand problem in higher dimensions

Tosiya Miyasita, and Takashi Suzuki. "Non-local Gel'fand problem in higher dimensions." Banach Center Publications 66.1 (2004): 221-235. <http://eudml.org/doc/281927>.

@article{TosiyaMiyasita2004,
abstract = {The non-local Gel’fand problem, $Δv + λe^v/∫_\{Ω\} e^vdx = 0$ with Dirichlet boundary condition, is studied on an n-dimensional bounded domain Ω. If it is star-shaped, then we have an upper bound of λ for the existence of the solution. We also have infinitely many bendings in λ of the connected component of the solution set in λ,v if Ω is a ball and 3 ≤ n ≤ 9.},
author = {Tosiya Miyasita, Takashi Suzuki},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {221-235},
title = {Non-local Gel'fand problem in higher dimensions},
url = {http://eudml.org/doc/281927},
volume = {66},
year = {2004},
}

TY - JOUR
AU - Tosiya Miyasita
AU - Takashi Suzuki
TI - Non-local Gel'fand problem in higher dimensions
JO - Banach Center Publications
PY - 2004
VL - 66
IS - 1
SP - 221
EP - 235
AB - The non-local Gel’fand problem, $Δv + λe^v/∫_{Ω} e^vdx = 0$ with Dirichlet boundary condition, is studied on an n-dimensional bounded domain Ω. If it is star-shaped, then we have an upper bound of λ for the existence of the solution. We also have infinitely many bendings in λ of the connected component of the solution set in λ,v if Ω is a ball and 3 ≤ n ≤ 9.
LA - eng
UR - http://eudml.org/doc/281927
ER -