Accession Number : ADA134541

Title :   A Variational Approach to Superlinear Elliptic Problems.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Figueiredo,Djairo G de ; Solimini,Sergio

PDF Url : ADA134541

Report Date : Sep 1983

Pagination or Media Count : 12

Abstract : This paper contains a variational treatment of the Ambrosetti-Prodi problem, including the superlinear case. The main result extends previous ones by Kazdan-Warner, Amann-Hess, Dancer, K. C. Chang and de Figueiredo. The required abstract results on critical point theory of functionals in Hilbert space are all proved using Ekeland's variational principle. These results apply as well to other superlinear elliptic problems provided an ordered pair of a sub- and a supersolution is exhibited. (Author)

Descriptors :   *Boundary value problems, Variational principles, Problem solving, Hilbert space, Theorems

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE