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STRONG COMPARISON PRINCIPLES FOR SOME NONLINEAR DEGENERATE ELLIPTIC EQUATIONS 被引量:1

STRONG COMPARISON PRINCIPLES FOR SOME NONLINEAR DEGENERATE ELLIPTIC EQUATIONS
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摘要 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 △2ψ + L(x,△ ψ), including the conformal hessian operator. 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 △2ψ + L(x,△ ψ), including the conformal hessian operator.
作者 Yanyan LI Bo WANG 李岩岩;王博(School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China;Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd, Piscataway, NJ 08854, USA;School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China)
出处 《Acta Mathematica Scientia》 SCIE CSCD 2018年第5期1583-1590,共8页 数学物理学报(B辑英文版)
基金 partially supported by NSF grant DMS-1501004 partially supported by NSFC(11701027)
关键词 Hopf lemma strong comparison principle degenerate ellipticity conformal invariance Hopf lemma strong comparison principle degenerate ellipticity conformal invariance
作者简介 E-mail: yyli @math.rutgers. edu;E-mail: wangbo89630@bit. edu. cn
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