Abstract
We investigate the existence of pairs (λ,u), with λ>0 and u a harmonic function in a bounded domain Ω⊂R3, such that the nonlinear boundary condition ∂νu=λμsinhu holds on ∂Ω, where μ is a non negative weight function. This type of exponential boundary condition arises in corrosion modeling (Butler–Volmer condition).
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