Geodesic
Radially symmetric solutions of the Poisson-Boltzmann equation with a given energy
Applicationes Mathematicae, Tome 27 (2000) no. 4, pp. 465-473.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
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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. http://geodesic.mathdoc.fr/articles/10.4064/am-27-4-465-473/

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