Annulus criteria for mixed nonlinear elliptic differential equations

Abstract

a b s t r a c tNew oscillation criteria are obtained for forced second order elliptic partial differential equations with damping and mixed nonlinearities of the formIt is assumed that A = (a ij ) N×N is a real symmetric positive definite matrix function, b = (b i ) N×1 is a real vector function, a ij ∈ C 1+µ loc (Ω, R), and b i , c, c 1 , c 2 , e ∈ C µ loc (Ω, R) for all i, j, for some µ ∈ (0, 1).Examples are given to illustrate the results.