Equations with Order Preserving Properties.

Abstract

The author first proves positivity properties of solutions of second order elliptic equations (maximum principle) by variational techniques. Then, using abstract fixed point theorems for increasing maps in ordered sets, he obtains existence and order preserving properties of solutions of some nonlinear equations, variational inequalities and quasivariational inequalities. Finally, some order preserving properties of generalized Riccati equations are introduced briefly.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1976
Accession Number
ADA024020

Entities

People

  • L. Tartar

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Differential Equations
  • Equations
  • Inequalities
  • Mathematical Analysis
  • Mathematics
  • Point Theorem
  • Real Variables
  • Riccati Equation

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis