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Degenerate Conformally Invariant Fully Nonlinear Elliptic Equations

Authors:	YanYan Li

Affiliation:	(1) Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854, USA

Abstract:	We establish Liouville theorems for $C_{loc}^{1,1}$ , entire solutions and locally Lipschitz entire weak solutions to general degenerate conformally invariant fully nonlinear elliptic equations of second order. For applications to local gradient estimates of solutions of general conformally invariant fully nonlinear elliptic equations of second order, see [20].

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