Teramoto, Tomomitsu; Usami, Hiroyuki Oscillation theorems of quasilinear elliptic equations with arbitrary nonlinearities. (English) Zbl 1212.35172 Differ. Integral Equ. 20, No. 5, 577-600 (2007). 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. Cited in 2 Documents 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 Keywords:oscillation criteria; quasilinear second order elliptic equation PDFBibTeX XMLCite \textit{T. Teramoto} and \textit{H. Usami}, Differ. Integral Equ. 20, No. 5, 577--600 (2007; Zbl 1212.35172)