Positive solution of some nonlinear elliptic equation with Neumann boundary conditions
Nicolae Tarfulea · Proceedings of the Japan Academy Series A Mathematical Sciences · 1995
In this note we show that there exists A such that, for every / (0, Ao), the 0u problem: Au /u q+ W(x)u p in , u > 0 in K2,= 0 on 02, where 2cR N is a bounded convex domain with smooth boundary, 0 < q < I < p and W CI(), has a solution ua iff < O. Moreover:L-+o o.as