Accession Number : ADA130544

Title :   Multiple Critical Points of Invariant Functionals and Applications.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON 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 non-linear Dirichlet problem. These results follow from an abstract theorem of Lusternik-Schnirelman 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 self-adjoint 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