Accession Number : ADA139237

Title :   Remarks on the Ambrosetti-Prodi Problem.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Costa,D G ; de Figueiredo,D G

PDF Url : ADA139237

Report Date : Jan 1984

Pagination or Media Count : 17

Abstract : The Ambrosetti-Prodi boundary value problem with an asymptotically linear nonlinearity is considered. Under general conditions on the nonlinearity it is shown that there exist positive and negative solutions. In the case when the domain is a ball in R sub n and the nonlinearity crosses the first n eigenvalues, corresponding to radial eigenfunctions, it is proved that there are at least n + 1 radial solutions. (Author)

Descriptors :   *Boundary value problems, *Problem solving, Nonlinear systems, Eigenvalues, Eigenvectors, Functions(Mathematics), Equations, Variables

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE