On Some Existence Theorems for Semi-Linear Elliptic Equations.

Abstract

Boundary value problems for semilinear elliptic equations are considered. If the nonlinear terms do not grow too fast as a function of the gradient of the dependent variable and ordered upper and lower solutions are known, then maximal and minimal solutions can be obtained by an iteration procedure. Other results concerning the existence of additional solutions follow from topological principles.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1977
Accession Number
ADA046390

Entities

People

  • Herbert Amann
  • Michael G. Crandall

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Banach Space
  • Boundaries
  • Boundary Value Problems
  • Calculus
  • Calculus Of Variations
  • Classification
  • Differential Equations
  • Equations
  • Inequalities
  • Iterations
  • Mathematics
  • North Carolina
  • Partial Differential Equations
  • Standards
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.