Oscillation of the half-linear PDE in general exterior domains -- the variational approach

DOI10.1016/j.na.2004.08.038zbMath1330.35155OpenAlexW2100720807MaRDI QIDQ707034

Robert Mařík

Publication date: 9 February 2005

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.2004.08.038

zbMATH Keywords

partial differential equationvariational techniqueLaplacianoscillatory solutionhalf-linear equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Variational methods for second-order elliptic equations (35J20)

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Conjugacy criteria for half-linear ODE in the theory of PDE with generalized \(p\)-Laplacian and mixed powers

Cites Work

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• Oscillation criteria of Nehari-type for the Schrödinger equation
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• Nonexistence of positive solutions of PDE's with \(p\)-Laplacian