Accession Number : ADA194295

Title :   On the Periodic Nonlinearity and the Multiplicity of Solutions.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES

Personal Author(s) : Chang, Kung-Ching

PDF Url : ADA194295

Report Date : Nov 1987

Pagination or Media Count : 18

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.

Descriptors :   *NONLINEAR ANALYSIS, *PERIODIC FUNCTIONS, ELLIPSES, HAMILTONIAN FUNCTIONS, RESONANCE, SOLUTIONS(GENERAL)

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE