
Accession Number : ADA130544
Title : Multiple Critical Points of Invariant Functionals and Applications.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Costa,D G ; Willem,M
PDF Url : ADA130544
Report Date : Jun 1983
Pagination or Media Count : 19
Abstract : This paper deals with some multiplicity results of periodic orbits of Hamiltonian systems and for solution of a nonlinear Dirichlet problem. These results follow from an abstract theorem of LusternikSchnirelman type as applied to an invariant equation of the form Lu + delta F(u) = 0 in a Hilbert space x = L sub 2 (omega; R sub n), where L is an unbounded selfadjoint operator and F is a C sub 1 strictly convex function. (Author)
Descriptors : *Invariance, *Hamiltonian functions, *Nonlinear analysis, Hilbert space, Orbits, Operators(Mathematics), Dirichlet integral, Equations, Problem solving
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE