Accession Number:

ADA141600

Title:

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

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Figueiredo,D. G. de
• Mitidieri,E.

Report Date:

1984-03-01

Pagination or Media Count:

27.0

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 .

Descriptors:

• *Linear systems
• *Ellipses
• *Operators(Mathematics)
• Solutions(General)
• Dirichlet integral
• Variational methods
• Iterations
• Truncation

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE