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

PDF Url : ADA141600

Report Date : Mar 1984

Pagination or Media Count : 27

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