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

Volume 27 / 2000

Tadeusz Nadzieja, Andrzej Raczyński Applicationes Mathematicae 27 (2000), 465-473 DOI: 10.4064/am-27-4-465-473

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.

Authors

  • Tadeusz Nadzieja
  • Andrzej Raczyński

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image