Annual oscillation criteria for second-order nonlinear elliptic differential equations

In this paper, we present some new oscillation criteria for the second-order nonlinear elliptic differential equation∇·(A(x)∇y)+q(x)f(y)=e(x),x∈Ω,where Ω is an exterior domain in RN. These criteria are different from most known ones in the sense that they are based on the information only on a sequence of annuals of Ω in RN, rather than on the whole exterior domain Ω. Also information about the distribution of the zero of solutions is obtained.