Existence and Uniqueness of Solutions on Bounded Domains to a Fitzhugh-nagumo Type Elliptic System
نویسندگان
چکیده
In this paper we prove the existence and uniqueness of the boundary layer solution to a semilinear eigenvalue problem consisting of a coupled system of two elliptic partial differential equations. Although the system is not quasimonotone, there exists a transformation to a quasimonotone system. For the transformed system we may and will use maximum (sweeping) principle arguments to derive pointwise estimates. A degree argument completes the uniqueness proof.
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تاریخ انتشار 2000