Oscillation Criteria for a Class of Nonlinear Partial Differential Equations
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This paper presents sufficient conditions on the function n ∑ i=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 .
CitationMarik, R. (2002). Oscillation criteria for a class of nonlinear partial differential equations. Electronic Journal of Differential Equations, 2002(28), pp. 1-10.
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