Radially symmetric solutions of the Poisson-Boltzmann equation with a given energy

@article{Nadzieja2000,
abstract = {We consider the following problem: $ΔΦ = ± \{M οver \int _\{Ω\} e^\{- Φ/Θ\}\} e^\{- Φ/Θ\}, E = MΘ ∓ \{1οver2\}\int _\{Ω\} |∇Φ|^2, Φ|_\{\partial Ω\} = 0,$ where Φ: Ω ⊂ $ℝ^n$ → ℝ is an unknown function, Θ is an unknown constant and M, E are given parameters.},
author = {Nadzieja, Tadeusz, Raczyński, Andrzej},
journal = {Applicationes Mathematicae},
keywords = {nonlinear elliptic problem; Poisson-Boltzmann equation},
language = {eng},
number = {4},
pages = {465-473},
title = {Radially symmetric solutions of the Poisson-Boltzmann equation with a given energy},
url = {http://eudml.org/doc/219289},
volume = {27},
year = {2000},
}

TY - JOUR
AU - Nadzieja, Tadeusz
AU - Raczyński, Andrzej
TI - Radially symmetric solutions of the Poisson-Boltzmann equation with a given energy
JO - Applicationes Mathematicae
PY - 2000
VL - 27
IS - 4
SP - 465
EP - 473
AB - We consider the following problem: $ΔΦ = ± {M οver \int _{Ω} e^{- Φ/Θ}} e^{- Φ/Θ}, E = MΘ ∓ {1οver2}\int _{Ω} |∇Φ|^2, Φ|_{\partial Ω} = 0,$ where Φ: Ω ⊂ $ℝ^n$ → ℝ is an unknown function, Θ is an unknown constant and M, E are given parameters.
LA - eng
KW - nonlinear elliptic problem; Poisson-Boltzmann equation
UR - http://eudml.org/doc/219289
ER -