Remarks on the phragmÉn-lindelÖf theorem for 1p-viscosity solutions of fully nonlinear pdes with unbounded ingredients

Shigeaki Koike; Kazushige Nakagawa

Remarks on the phragmÉn-lindelÖf theorem for 1^p-viscosity solutions of fully nonlinear pdes with unbounded ingredients

Research output: Contribution to journal › Article › peer-review

Abstract

The Phragmén-Lindelöf theorem for L^p-viscosity solutions of fully nonlinear second order elliptic partial differential equations with unbounded coefficients and inhomogeneous terms is established.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Electronic Journal of Differential Equations
Volume	2009
Issue number	146
Publication status	Published - 2009 Nov 20
Externally published	Yes

Keywords

L-viscosity solution
Phragmén-lindelöf theorem
Weak Harnack inequality

ASJC Scopus subject areas

Analysis

Cite this

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title = "Remarks on the phragm{\'E}n-lindel{\"O}f theorem for 1p-viscosity solutions of fully nonlinear pdes with unbounded ingredients",

abstract = "The Phragm{\'e}n-Lindel{\"o}f theorem for Lp-viscosity solutions of fully nonlinear second order elliptic partial differential equations with unbounded coefficients and inhomogeneous terms is established.",

keywords = "L-viscosity solution, Phragm{\'e}n-lindel{\"o}f theorem, Weak Harnack inequality",

author = "Shigeaki Koike and Kazushige Nakagawa",

year = "2009",

month = nov,

day = "20",

language = "English",

volume = "2009",

pages = "1--14",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

number = "146",

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T1 - Remarks on the phragmÉn-lindelÖf theorem for 1p-viscosity solutions of fully nonlinear pdes with unbounded ingredients

AU - Koike, Shigeaki

AU - Nakagawa, Kazushige

PY - 2009/11/20

Y1 - 2009/11/20

N2 - The Phragmén-Lindelöf theorem for Lp-viscosity solutions of fully nonlinear second order elliptic partial differential equations with unbounded coefficients and inhomogeneous terms is established.

AB - The Phragmén-Lindelöf theorem for Lp-viscosity solutions of fully nonlinear second order elliptic partial differential equations with unbounded coefficients and inhomogeneous terms is established.

KW - L-viscosity solution

KW - Phragmén-lindelöf theorem

KW - Weak Harnack inequality

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M3 - Article

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SN - 1072-6691

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JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

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ER -

Remarks on the phragmÉn-lindelÖf theorem for 1^p-viscosity solutions of fully nonlinear pdes with unbounded ingredients

Abstract

Keywords

ASJC Scopus subject areas

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