Some Minimax Theorems and Applications to Nonlinear Partial Differential Equations.

Abstract

Using minimax methods, some existence theorems are proved for critical points of a real valued function on a Banach space. The critical points are of a saddle point type. Applications are made to semilinear elliptic partial differential equations. A perturbation theorem for the critical points is also proved in this context. Lastly applications are made to a family of nonlinear wave equations.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1976
Accession Number
ADA029908

Entities

People

  • Paul Rabinowitz

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Differential Equations
  • Electrical Solitons
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Perturbations
  • Real Variables
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Space