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