Multiple Critical Points of Invariant Functionals and Applications.

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)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1983
Accession Number
ADA130544

Entities

People

  • D. G. Costa
  • M. Willem

Organizations

  • University of Wisconsin–Madison

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  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Bessel Functions
  • Contracts
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Functions (Mathematics)
  • Hilbert Space
  • Mathematical Analysis
  • Mathematics
  • Two Dimensional
  • United States
  • Wisconsin

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  • Mathematics

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  • Linear Algebra

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