Revista Matemática Iberoamericana


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Volume 4, Issue 3, 1988, pp. 453–468
DOI: 10.4171/RMI/80

Comparison Principles and Pointwise Estimates for Viscosity Solutions of Nonlinear Elliptic Equations

Neil S. Trudinger[1]

(1) Australian National University, Canberra, Australia

We prove cornparison principles for viscosity solutions of nonlinear second order, uniforrnly elliptic equations, which extend previous results of P.L. Lions, R. Jensen and H. Ishii. Some basic pointwise estimates for classical solutions are also extended to continuous viscosity solutions.

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Trudinger Neil: Comparison Principles and Pointwise Estimates for Viscosity Solutions of Nonlinear Elliptic Equations. Rev. Mat. Iberoamericana 4 (1988), 453-468. doi: 10.4171/RMI/80