Remarks on the Ambrosetti-Prodi Problem.

Abstract

The Ambrosetti-Prodi boundary value problem with an asymptotically linear nonlinearity is considered. Under general conditions on the nonlinearity it is shown that there exist positive and negative solutions. In the case when the domain is a ball in R sub n and the nonlinearity crosses the first n eigenvalues, corresponding to radial eigenfunctions, it is proved that there are at least n + 1 radial solutions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1984
Accession Number
ADA139237

Entities

People

  • D. G. Costa
  • D. G. De Figueiredo

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Algebra
  • Analogs
  • Bessel Functions
  • Boundaries
  • Boundary Value Problems
  • Continents
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Inequalities
  • Integral Equations
  • Intervals
  • Mathematical Analysis
  • Mathematics
  • North Carolina
  • United States

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Linear Algebra