On the Periodic Nonlinearity and the Multiplicity of Solutions.

Abstract

This document studies the multiplicity of solutions for semilinear elliptic systems as well as Hamiltonian systems, in which the nonlinear terms are periodic in certain variables. The cuplength for cohomology rings of the torus is used. Our results generalize and unify several recent works by Conley-Zehnder, Rabinowitz, Mawhin-Willem, Pucci-Serrin etc. In particular, the resonance problems and indefinite problems are studied. Keywords: Critical point, Neumann problem, Periodic solution.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1987
Accession Number
ADA194295

Entities

People

  • Kung-ching Chang

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boundaries
  • Decomposition
  • Eigenvalues
  • Equations
  • Hamiltonian Functions
  • Hilbert Space
  • Mathematics
  • Military Research
  • North Carolina
  • Periodic Variations
  • Resonance
  • Sequences
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.