Acta Mathematica Scientia ›› 2018, Vol. 38 ›› Issue (5): 1583-1590.

• Articles • Previous Articles     Next Articles

STRONG COMPARISON PRINCIPLES FOR SOME NONLINEAR DEGENERATE ELLIPTIC EQUATIONS

Yanyan LI1, Bo WANG2   

  1. 1. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China;Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd, Piscataway, NJ 08854, USA;
    2. Corresponding author. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China
  • Received:2018-04-03 Online:2018-11-09 Published:2018-11-09
  • Supported by:
    Li was partially supported by NSF grant DMS-1501004. Wang was partially supported by NSFC (11701027).

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 ▽2ψ + L(x, ▽ψ), including the conformal hessian operator.

Key words: Hopf lemma, strong comparison principle, degenerate ellipticity, conformal invariance

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