Marik, Robert2020-07-312020-07-312002-03-08Marik, R. (2002). Oscillation criteria for a class of nonlinear partial differential equations. <i>Electronic Journal of Differential Equations, 2002</i>(28), pp. 1-10.1072-6691https://hdl.handle.net/10877/12276This paper presents sufficient conditions on the function c(x) to ensure that every solution of partial differential equation ∑ni=1 ∂/ ∂xi Φp (∂u/ ∂xi) + B(x, u) = 0, Φp(u) := |u|p-1 sgn u. p > 1 is weakly oscillatory, i.e. has zero outside of every ball in ℝn. The main tool is modified Riccati technique developed for Schrödinger operator by Noussair and Swanson [11].Text10 pages1 file (.pdf)enAttribution 4.0 InternationalOscillation criteriaNonlinear oscillationUnbounded domainsArticle