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Oscillation theorems of quasilinear elliptic equations with arbitrary nonlinearities. (English) Zbl 1212.35172

Summary: We establish oscillation criteria for solutions of quasilinear second order elliptic equations. We do not impose any additional conditions on the nonlinear terms except for the continuity. In particular, we can characterize the oscillation property of every solution for autonomous equations.

MSC:

35J70 Degenerate elliptic equations
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
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