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VOL. 64 | 2015 On the ABP maximum principle for $L^p$-viscosity solutions of fully nonlinear PDE
Shigeaki Koike

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Abstract

Fully nonlinear second-order uniformly elliptic partial differential equations (PDE for short) with unbounded ingredietns are considered. The Aleksandrov–Bakelman–Pucci (ABP for short) maximum principle for $L^p$-viscosity solutions of fully nonlinear, second-order uniformly elliptic PDE are shown.

The results here are joint works with A. Świȩch in [12], [13], [14], [15].

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1348.35045
MathSciNet: MR3381196

Digital Object Identifier: 10.2969/aspm/06410113

Subjects:
Primary: 35B50, 35D40

Rights: Copyright © 2015 Mathematical Society of Japan

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