Existence and blow up of solutions to certain classes of two dimensional nonlinear Neumann problems
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چکیده
In this paper we study, analytically and numerically, the existence and blow up of solutions to two dimensional boundary value problems of the form ∆uλ = 0 in Ω, ∂uλ/∂n = Duλ + λf(uλ) on ∂Ω. We place particular emphasis on f(u) = sinh(u) = e u−e−u 2 , in which case the nonlinear flux boundary condition is frequently associated with the names of Butler and Volmer.
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تاریخ انتشار 2004