ON A NONLINEAR ELECTROLYSIS PROBLEM

Stanislav Ivanovich Pokhozhaev · Sbornik Mathematics · 1995

A mathematical model proposed by H. Amann for electrochemical reactions is considered. The model is considered in the steady-state case for two differently charged components of a solution. In this case the model reduces to a quasilinear system of two elliptic equations with nonlinear Neumann boundary conditions. In the regular case it is proved that this nonlinear problem is globally solvable in a Sobolev space with ().Bibliography: 9 titles.

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