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Oscillation theorems for damped elliptic differential equations of second order. (English) Zbl 1144.35323

Summary: Oscillation theorems for the damped elliptic differential equation of second-order \[ \sum^N_{i,j=1} D_i'a_{ij}(x) D_j y]+ \sum^N_{i=1} b_i(x) D_i y+ c(x, y)= 0 \] are obtained. The results are extensions of averaging techniques due to Coles and Kamenev, and include earlier known results in literature.

MSC:

35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35J60 Nonlinear elliptic equations
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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