摘要

We study the multiplicity solutions for the nonlinear elliptic equation {u - 0 -M-lambda, Lambda( ) (D(2)u) = f(u) in Omega on partial derivative Omega and a more general fully nonlinear elliptic equation {u = 0 F(D(2)u) - f(u) in Omega on partial derivative Omega, where Omega is a bound domain in R-N, N >= 3, f is a locally Lipschitz continuous function with superlinear growth at infinity. We will show that the equation has at least two positive solutions under some assumptions.