Strong comparison principles for some nonlinear degenerate elliptic equations

Yanyan LI; Bo WANG

doi:10.1016/S0252-9602(18)30833-6

Strong comparison principles for some nonlinear degenerate elliptic equations

Yanyan LI, Bo WANG

School of Arts and Sciences, Mathematics

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

9 Scopus citations

Abstract

In this paper, we obtain the strong comparison principle and Hopf Lemma for locally Lipschitz viscosity solutions to a class of nonlinear degenerate elliptic operators of the form ∇² ψ + L(x, ∇ ψ), including the conformal hessian operator.

Original language	English (US)
Pages (from-to)	1583-1590
Number of pages	8
Journal	Acta Mathematica Scientia
Volume	38
Issue number	5
DOIs	https://doi.org/10.1016/S0252-9602(18)30833-6
State	Published - Sep 2018

All Science Journal Classification (ASJC) codes

Mathematics(all)
Physics and Astronomy(all)

Keywords

35B51
35B65
35D40
35J60
35J70
53C21
58J70
Hopf lemma
conformal invariance
degenerate ellipticity
strong comparison principle

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10.1016/S0252-9602(18)30833-6

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title = "Strong comparison principles for some nonlinear degenerate elliptic equations",

abstract = "In this paper, we obtain the strong comparison principle and Hopf Lemma for locally Lipschitz viscosity solutions to a class of nonlinear degenerate elliptic operators of the form ∇2 ψ + L(x, ∇ ψ), including the conformal hessian operator.",

keywords = "35B51, 35B65, 35D40, 35J60, 35J70, 53C21, 58J70, Hopf lemma, conformal invariance, degenerate ellipticity, strong comparison principle",

author = "Yanyan LI and Bo WANG",

note = "Funding Information: by NSF grant DMS-1501004. Wang was partially Publisher Copyright: {\textcopyright} 2018 Wuhan Institute of Physics and Mathematics",

year = "2018",

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doi = "10.1016/S0252-9602(18)30833-6",

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T1 - Strong comparison principles for some nonlinear degenerate elliptic equations

AU - LI, Yanyan

AU - WANG, Bo

PY - 2018/9

Y1 - 2018/9

N2 - In this paper, we obtain the strong comparison principle and Hopf Lemma for locally Lipschitz viscosity solutions to a class of nonlinear degenerate elliptic operators of the form ∇2 ψ + L(x, ∇ ψ), including the conformal hessian operator.

AB - In this paper, we obtain the strong comparison principle and Hopf Lemma for locally Lipschitz viscosity solutions to a class of nonlinear degenerate elliptic operators of the form ∇2 ψ + L(x, ∇ ψ), including the conformal hessian operator.

KW - 35B51

KW - 35B65

KW - 35D40

KW - 35J60

KW - 35J70

KW - 53C21

KW - 58J70

KW - Hopf lemma

KW - conformal invariance

KW - degenerate ellipticity

KW - strong comparison principle

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U2 - 10.1016/S0252-9602(18)30833-6

DO - 10.1016/S0252-9602(18)30833-6

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EP - 1590

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 5

ER -

Strong comparison principles for some nonlinear degenerate elliptic equations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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