Existence and Uniqueness Viscosity Solutions of Degenerate Quasilinear Elliptic Equations in R(N). Revision

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1988
Accession Number
ADA196051

Entities

People

  • Michael G. Crandall
  • Richard Newcomb
  • Tomita Yoshihito

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Coefficients
  • Differential Equations
  • Equations
  • Mathematics
  • Military Research
  • North Carolina
  • Partial Differential Equations
  • Scientific Research
  • Square Roots
  • Theorems
  • United States
  • Universities
  • Viscosity
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis