Local maximum principle for Lp-viscosity solutions of fully nonlinear elliptic pdes with unbounded coefficients

Shigeaki Koike; Andrzej Świȩch

doi:10.3934/cpaa.2012.11.1897

Local maximum principle for L^p-viscosity solutions of fully nonlinear elliptic pdes with unbounded coefficients

Shigeaki Koike^*, Andrzej Świȩch

^*Corresponding author for this work

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

16 Citations (Scopus)

Abstract

We establish local maximum principle for L^p-viscosity solutions of fully nonlinear elliptic partial differential equations with unbounded ingredients.

Original language	English
Pages (from-to)	1897-1910
Number of pages	14
Journal	Communications on Pure and Applied Analysis
Volume	11
Issue number	5
DOIs	https://doi.org/10.3934/cpaa.2012.11.1897
Publication status	Published - 2012 Sept
Externally published	Yes

Keywords

Fully nonlinear elliptic PDE
Local maximum principle
Viscosity solutions

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.3934/cpaa.2012.11.1897

Cite this

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title = "Local maximum principle for Lp-viscosity solutions of fully nonlinear elliptic pdes with unbounded coefficients",

abstract = "We establish local maximum principle for Lp-viscosity solutions of fully nonlinear elliptic partial differential equations with unbounded ingredients.",

keywords = "Fully nonlinear elliptic PDE, Local maximum principle, Viscosity solutions",

author = "Shigeaki Koike and Andrzej {\'S}wiȩch",

year = "2012",

month = sep,

doi = "10.3934/cpaa.2012.11.1897",

language = "English",

volume = "11",

pages = "1897--1910",

journal = "Communications on Pure and Applied Analysis",

issn = "1534-0392",

publisher = "American Institute of Mathematical Sciences",

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T1 - Local maximum principle for Lp-viscosity solutions of fully nonlinear elliptic pdes with unbounded coefficients

AU - Koike, Shigeaki

AU - Świȩch, Andrzej

PY - 2012/9

Y1 - 2012/9

N2 - We establish local maximum principle for Lp-viscosity solutions of fully nonlinear elliptic partial differential equations with unbounded ingredients.

AB - We establish local maximum principle for Lp-viscosity solutions of fully nonlinear elliptic partial differential equations with unbounded ingredients.

KW - Fully nonlinear elliptic PDE

KW - Local maximum principle

KW - Viscosity solutions

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