Oscillation of Second Order Semilinear Elliptic Equations with Damping

We obtain some new Kamenev-type oscillation theorems for the second order semilinearelliptic differential equation with dampingunder 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 anyadditional conditions on the damped functions b(x) except the continuity.Several examples are givento illustrate the main results.