Oscillation of damped PDE with \(p\)-Laplacian in unbounded domains

DOI10.1016/j.na.2009.10.028zbMath1190.35015OpenAlexW2055572027MaRDI QIDQ844963

Zhi Ting Xu

Publication date: 5 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.na.2009.10.028

zbMATH Keywords

oscillationunbounded domainsdampednew oscillation theoremsPDE with \(p\)-Laplacian

Mathematics Subject Classification ID

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) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• Oscillation criteria for second-order nonlinear differential equations with damping
• Oscillation theorems for linear differential equations of second order
• Positive solutions of elliptic equations
• Oscillation criteria of Kamenev-type for PDE with \(p\)-Laplacian.
• Integral averages and oscillation criteria for half-linear partial differential equation.
• Some oscillation theorems for a class of quasilinear elliptic equations
• A Picone-type identity and Sturmian comparison and oscillation theorems for a class of half-linear partial differential equations of second order
• Oscillation criteria for PDE with \(p\)-Laplacian via the Riccati technique
• Oscillation criteria for damped half-linear PDE via the integral operator
• Ordinary differential equations in the oscillation theory of partial half-linear differential equation
• Riccati inequality and oscillation criteria for PDE with \(p\)-Laplacian
• Oscillation criteria for PDE with \(p\)-Laplacian involving general means
• Oscillation of Semilinear Elliptic Inequalities by Riccati Transformations
• OSCILLATION CRITERIA FOR CERTAIN DAMPED PDE'S WITH p-LAPLACIAN
• A criterion of oscillatory stability
• Nonexistence of positive solutions of PDE's with \(p\)-Laplacian

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