Oscillation Criteria for a Class of Nonlinear Partial Differential Equations
Date
2002-03-08
Authors
Marik, Robert
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
This 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].
Description
Keywords
Oscillation criteria, Nonlinear oscillation, Unbounded domains
Citation
Marik, R. (2002). Oscillation criteria for a class of nonlinear partial differential equations. <i>Electronic Journal of Differential Equations, 2002</i>(28), pp. 1-10.
Rights
Attribution 4.0 International