A Maximum Principle for an Elliptic System and Applications to Semilinear Problems.

Abstract

This document studied a Dirichlet problem in a bounded region for elliptic systems. For the question of existence of positive solutions the key ingredient is a maximum principle for a linear elliptic system associated with (*). A priori bounds for the solutions of (*) are proved under various types of growth conditions on f. Variational methods are used to establish the existence of pairs of solutions for (*).

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1984
Accession Number
ADA141600

Entities

People

  • D. G. De Figueiredo
  • E. Mitidieri

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Differential Equations
  • Diffusion
  • Eigenvalues
  • Equations
  • Identities
  • Integrals
  • Iterations
  • Mathematics
  • Mountains
  • Numbers
  • Real Numbers
  • Steady State
  • Truncation
  • United States
  • Variational Methods

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis