JournalsrmiVol. 4, No. 3pp. 453–468

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

  • Neil S. Trudinger

    Australian National University, Canberra, Australia
Comparison Principles and Pointwise Estimates for Viscosity Solutions of Nonlinear Elliptic Equations cover
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Abstract

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.

Cite this article

Neil S. Trudinger, Comparison Principles and Pointwise Estimates for Viscosity Solutions of Nonlinear Elliptic Equations. Rev. Mat. Iberoam. 4 (1988), no. 3, pp. 453–468

DOI 10.4171/RMI/80