Positive solution of some nonlinear elliptic equation with Neumann boundary conditions
نویسندگان
چکیده
منابع مشابه
The local solution of a parabolic-elliptic equation with a nonlinear Neumann boundary condition
Abstract. We investigate a parabolic-elliptic problem, where the time derivative is multiplied by a coefficient which may vanish on time-dependent spatial subdomains. The linear equation is supplemented by a nonlinear Neumann boundary condition −∂u/∂νA = g(·, ·, u) with a locally defined, Lr-bounded function g(t, ·, ξ). We prove the existence of a local weak solution to the problem by means of ...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1995
ISSN: 0386-2194
DOI: 10.3792/pjaa.71.161