Poisson-Boltzmann equation in ℝ³

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Authors , ¹

Institute of Mathematics, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

The electric potential u in a solute of electrolyte satisfies the equation Δu(x) = f(u(x)), x ∈ Ω ⊂ ℝ³,

u ∣_{\partial Ω} = 0

. One studies the existence of a solution of the problem and its properties.

Poisson-Boltzmann equation, existence of solution

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