Remarks on the comparison principle for quasilinear PDE with no zeroth order terms

Shigeaki Koike, Takahiro Kosugi

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

A comparison principle for viscosity solutions of second-order quasilinear elliptic partial differential equations with no zeroth order terms is shown. A different transformation from that of Barles and Busca in [3] is adapted to enable us to deal with slightly more general equations.

Original languageEnglish
Pages (from-to)133-142
Number of pages10
JournalCommunications on Pure and Applied Analysis
Volume14
Issue number1
DOIs
Publication statusPublished - 2015 Jan 1
Externally publishedYes

Fingerprint

Zeroth
Comparison Principle
Elliptic Partial Differential Equations
Viscosity Solutions
Partial differential equations
Viscosity
Term

Keywords

  • Comparison principle
  • Quasilinear elliptic equation
  • Viscosity solution

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Remarks on the comparison principle for quasilinear PDE with no zeroth order terms. / Koike, Shigeaki; Kosugi, Takahiro.

In: Communications on Pure and Applied Analysis, Vol. 14, No. 1, 01.01.2015, p. 133-142.

Research output: Contribution to journal › Article

Koike, S & Kosugi, T 2015, 'Remarks on the comparison principle for quasilinear PDE with no zeroth order terms', Communications on Pure and Applied Analysis, vol. 14, no. 1, pp. 133-142. https://doi.org/10.3934/cpaa.2015.14.133
Koike S, Kosugi T. Remarks on the comparison principle for quasilinear PDE with no zeroth order terms. Communications on Pure and Applied Analysis. 2015 Jan 1;14(1):133-142. https://doi.org/10.3934/cpaa.2015.14.133
Koike, Shigeaki ; Kosugi, Takahiro. / Remarks on the comparison principle for quasilinear PDE with no zeroth order terms. In: Communications on Pure and Applied Analysis. 2015 ; Vol. 14, No. 1. pp. 133-142.
@article{ecc8b031af334da0a604d572db888109,
title = "Remarks on the comparison principle for quasilinear PDE with no zeroth order terms",
abstract = "A comparison principle for viscosity solutions of second-order quasilinear elliptic partial differential equations with no zeroth order terms is shown. A different transformation from that of Barles and Busca in [3] is adapted to enable us to deal with slightly more general equations.",
keywords = "Comparison principle, Quasilinear elliptic equation, Viscosity solution",
author = "Shigeaki Koike and Takahiro Kosugi",
year = "2015",
month = "1",
day = "1",
doi = "10.3934/cpaa.2015.14.133",
language = "English",
volume = "14",
pages = "133--142",
journal = "Communications on Pure and Applied Analysis",
issn = "1534-0392",
publisher = "American Institute of Mathematical Sciences",
number = "1",

}

TY - JOUR

T1 - Remarks on the comparison principle for quasilinear PDE with no zeroth order terms

AU - Koike, Shigeaki

AU - Kosugi, Takahiro

PY - 2015/1/1

Y1 - 2015/1/1

N2 - A comparison principle for viscosity solutions of second-order quasilinear elliptic partial differential equations with no zeroth order terms is shown. A different transformation from that of Barles and Busca in [3] is adapted to enable us to deal with slightly more general equations.

AB - A comparison principle for viscosity solutions of second-order quasilinear elliptic partial differential equations with no zeroth order terms is shown. A different transformation from that of Barles and Busca in [3] is adapted to enable us to deal with slightly more general equations.

KW - Comparison principle

KW - Quasilinear elliptic equation

KW - Viscosity solution

UR - http://www.scopus.com/inward/record.url?scp=84907267707&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84907267707&partnerID=8YFLogxK

U2 - 10.3934/cpaa.2015.14.133

DO - 10.3934/cpaa.2015.14.133

M3 - Article

AN - SCOPUS:84907267707

VL - 14

SP - 133

EP - 142

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

SN - 1534-0392

IS - 1

ER -

Access to Document