Electron. J. Diff. Equ., Vol. 2009(2009), No. 146, pp. 1-14.

Remarks on the Phragmen-Lindelof theorem for Lp-viscosity solutions of fully nonlinear PDEs with unbounded ingredients

Shigeaki Koike, Kazushige Nakagawa

Abstract:
The Phragmen-Lindelof theorem for Lp-viscosity solutions of fully nonlinear second order elliptic partial differential equations with unbounded coefficients and inhomogeneous terms is established.

Submitted August 28, 2009. Published November 20, 2009.
Math Subject Classifications: 35B53, 35D40, 35B50.
Key Words: Phragmen-Lindelof theorem; Lp-viscosity solution; weak Harnack inequality.

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Shigeaki Koike
Department of Mathematics, Saitama University
255 Shimo-Okubo, Sakura, Saitama 338-8570, Japan
email: skoike@rimath.saitama-u.ac.jp
Kazushige Nakagawa
Department of Mathematics, Saitama University
255 Shimo-Okubo, Sakura, Saitama 338-8570, Japan
email: knakagaw@rimath.saitama-u.ac.jp

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