Abstract
A Neumann boundary value problem for a general two ion electro-diffusion model is studied. Unlike classical second order Neumann problems, the nonlinear equation considered in this work has the particularity that it depends on the unknown Dirichlet values of the solution. Using Leray–Schauder topological degree, we prove the existence of at least one solution under non-asymptotic conditions of Landesman–Lazer type.
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