Solutions of Asymptotically Linear Operator Equations via Morse Theory.

Abstract

In this paper, we use the classical Morse theory of critical points to study the existence and multiplicity of solutions of a class of asymptotically linear operator equations. As special cases, we include multiplicity results for semilinear elliptic BVP's, as well as existence and multiplicity of periodic solutions of semilinear wave equation and of Hamiltonian systems. These results simplify and complement recent work of Amann Zehnder and Castro Lazer. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1980
Accession Number
ADA093635

Entities

People

  • Kung-ching Chang

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Mathematics
  • Partial Differential Equations
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis