Download or read book Existence and Uniqueness Viscosity Solutions of Degenerate Quasilinear Elliptic Equations in R(N). Revision written by Michael G. Crandall and published by . This book was released on 1988 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: The existence and uniqueness of viscosity solutions of possible degenerate elliptic equations in Sub N is considered. For example, the equations treated include ones of the form u+H(Du) - lambda = f(x) in R sub N where lambda> 0 and Du is the gradient of u, as well as fully nonlinear generalizations of this equation. Results are obtained which relate growth and continuity properties of the nonlinearity H(p) and the forcing term f(x) and (sometimes sharp) uniqueness classes for solutions. Existence is proved in the uniqueness classes. Keywords: Linear differential operators, Coefficients, Theorems. (kr).