Oscillation criteria for quasilinear elliptic equations

DOI10.1016/S0362-546X(00)00136-XzbMath1126.35321MaRDI QIDQ5949351

Hiroyuki Usami, Yūki Naito

Publication date: 27 February 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Comparison principlesOscillation criteriaQuasilinear elliptic equationsQuasilinear ordinary differential equations

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (7)

Rectifiable and unrectifiable oscillations for a class of second-order linear differential equations of Euler type ⋮ Oscillation of half-linear differential equations with asymptotically almost periodic coefficients ⋮ Oscillation constants for second-order ordinary differential equations related to elliptic equations with \(p\)-Laplacian ⋮ Multiplicity results of positive radial solutions for \(p\)-Laplacian problems in exterior domains ⋮ Ordinary differential equations in the oscillation theory of partial half-linear differential equation ⋮ Fractal oscillations for a class of second order linear differential equations of Euler type ⋮ Growth conditions for oscillation of nonlinear differential equations with \(p\)-Laplacian

Cites Work

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• Oscillation and nonoscillation criteria for second order quasilinear differential equations
• On the oscillation of solutions of second order quasilinear ordinary differential equations
• Nonexistence of positive entire solutions for elliptic inequalities of the mean curvature type
• Strong oscillation and nonoscillation of quasilinear differential equations of second order
• On The Dirichletproblem for Quasilinear Equations
• 6.—Oscillation Theory for Semilinear Schrödinger Equations and Inequalities
• Semilinear Second Order Elliptic Oscillation

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