On the Existence of Infinitely Many Solutions of the Dirichlet Problem for Some Nonlinear Elliptic Equations.

Abstract

The existence of multiple solutions to nonlinear elliptic boundary value problems has been studied by many authors, especially when the nonlinear term is an odd function of the dependent variable. This paper shows, for a class of such equations, that when oddness is destroyed by adding a nonodd nonlinear perturbation to the equation, the resulting problem still possesses an infinite number of distinct solutions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1980
Accession Number
ADA096671

Entities

People

  • Guang-chang Dong
  • S. Li

Organizations

  • University of Wisconsin–Madison

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DTIC Thesaurus Topics

  • Boundary Value Problems
  • Contracts
  • Equations
  • Geometry
  • Hilbert Space
  • Inequalities
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • Numerical Analysis
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  • United States
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  • Wisconsin

Fields of Study

  • Mathematics

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  • Calculus or Mathematical Analysis