摘要

Considering the positive solution of the following nonlinear elliptic Neumann problem
Delta 0u -lambda u + f(u) = 0, u > 0, in Omega, partial derivative u partial derivative v = 0 on partial derivative Omega
where Omega is convex and f(u) defined by (2). We prove that for 1 < p(i) < 5, i = 1, ..., K and lambda small, the only solution to the above problem is constant. This can be seen as a generalization of Theorem 1 in [ ].