Revista Matemática Iberoamericana


Full-Text PDF (981 KB) | Table of Contents | RMI summary
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) Centre for Mathematics and its Applications, MSI, Australian National University, G.P.O. Box 4, ACT 0200, 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.

No keywords available for this article.

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