Oscillation of second order semilinear elliptic equations with damping

We obtain some new Kamenev-type oscillation theorems for the second order semilinear elliptic differential equation with damping Sigma(N)(i,j=1) D(i)[a(ij)(x) D(iy)] + Sigma(N)(i=1) b(i)(x) D(iy) + c(x) f(y) = 0 under quite general assumptions. These results are extensions of the recent results of Sun [Sun, Y. G.: New Kamenev-type oscillation criteria of second order nonlinear differential equations with damping. J. Math. Anal. Appl., 291, 341-351 (2004)] in a natural way. In particular, we do not impose any additional conditions on the damped functions b(i)(x) except the continuity. Several examples are given to illustrate the main results.