Differential and Integral Equations

Oscillation theorems of quasilinear elliptic equations with arbitrary nonlinearities

Tomomitsu Teramoto and Hiroyuki Usami

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Abstract

We establish oscillation criteria for solutions of quasilinear second order elliptic equations. We do not impose any additional conditions on the nonlinear terms except for the continuity. In particular, we can characterize the oscillation property of every solution for autonomous equations.

Article information

Source
Differential Integral Equations Volume 20, Number 5 (2007), 577-600.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356039444

Mathematical Reviews number (MathSciNet)
MR2324221

Zentralblatt MATH identifier
1212.35172

Subjects
Primary: 35J60: Nonlinear elliptic equations
Secondary: 34C15: Nonlinear oscillations, coupled oscillators 35B05: Oscillation, zeros of solutions, mean value theorems, etc. 35J70: Degenerate elliptic equations

Citation

Teramoto, Tomomitsu; Usami, Hiroyuki. Oscillation theorems of quasilinear elliptic equations with arbitrary nonlinearities. Differential Integral Equations 20 (2007), no. 5, 577--600. https://projecteuclid.org/euclid.die/1356039444.


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