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arxiv: 1804.01056 · v1 · pith:K3MFR62Gnew · submitted 2018-04-03 · 🧮 math.AP

Strong Comparison Principles for Some Nonlinear Degenerate Elliptic Equations

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keywords comparisondegenerateellipticnablanonlinearstrongclassconformal
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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 $\nabla^2 \psi + L(x,\nabla \psi)$, including the conformal hessian operator.

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