Geodesic
Radially symmetric solutions of the Poisson-Boltzmann equation with a given energy
Applicationes Mathematicae, Tome 27 (2000) no. 4, pp. 465-473 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/am-27-4-465-473
Keywords: nonlinear elliptic problem, Poisson-Boltzmann equation

Tadeusz Nadzieja 1 ; Andrzej Raczyński 1

1 
@article{10_4064_am_27_4_465_473,
     author = {Tadeusz Nadzieja and Andrzej Raczy\'nski},
     title = {Radially symmetric solutions of the {Poisson-Boltzmann} equation with a given energy},
     journal = {Applicationes Mathematicae},
     pages = {465--473},
     year = {2000},
     volume = {27},
     number = {4},
     doi = {10.4064/am-27-4-465-473},
     zbl = {0992.35041},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am-27-4-465-473/}
}
TY  - JOUR
AU  - Tadeusz Nadzieja
AU  - Andrzej Raczyński
TI  - Radially symmetric solutions of the Poisson-Boltzmann equation with a given energy
JO  - Applicationes Mathematicae
PY  - 2000
SP  - 465
EP  - 473
VL  - 27
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am-27-4-465-473/
DO  - 10.4064/am-27-4-465-473
LA  - en
ID  - 10_4064_am_27_4_465_473
ER  - 
%0 Journal Article
%A Tadeusz Nadzieja
%A Andrzej Raczyński
%T Radially symmetric solutions of the Poisson-Boltzmann equation with a given energy
%J Applicationes Mathematicae
%D 2000
%P 465-473
%V 27
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4064/am-27-4-465-473/
%R 10.4064/am-27-4-465-473
%G en
%F 10_4064_am_27_4_465_473
Tadeusz Nadzieja; Andrzej Raczyński. Radially symmetric solutions of the Poisson-Boltzmann equation with a given energy. Applicationes Mathematicae, Tome 27 (2000) no. 4, pp. 465-473. doi: 10.4064/am-27-4-465-473

Cité par Sources :