Strong comparison principles for some nonlinear degenerate elliptic equations |
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| Authors: | Yanyan LI Bo WANG |
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| Institution: | School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China;Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd, Piscataway, NJ 08854, USA |
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| 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. |
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| Keywords: | Hopf lemma strong comparison principle degenerate ellipticity conformal invariance 35J60 35J70 35B51 35B65 35D40 53C21 58J70 |
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