Some oscillation theorems for a class of quasilinear elliptic equations. (English) Zbl 0953.35043
Summary: Oscillation criteria are obtained for quaslilinear elliptic equations of the form
\[
\text{div} \bigl(|Du|^{m-2}Du\bigr)+ a(x)|u|^{m-2} u=0.
\]
We are mainly interested in the case where the coefficient function oscillates near infinity. Generalized Riccati inequalities are employed to establish our results.
MSC:
| 35J60 | Nonlinear elliptic equations |
| 35B05 | Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs |
| 35B30 | Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs |
Keywords:
generalized Riccati inequalitiesReferences:
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