A Variational Approach to Superlinear Elliptic Problems.

Abstract

This paper contains a variational treatment of the Ambrosetti-Prodi problem, including the superlinear case. The main result extends previous ones by Kazdan-Warner, Amann-Hess, Dancer, K. C. Chang and de Figueiredo. The required abstract results on critical point theory of functionals in Hilbert space are all proved using Ekeland's variational principle. These results apply as well to other superlinear elliptic problems provided an ordered pair of a sub- and a supersolution is exhibited. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1983
Accession Number
ADA134541

Entities

People

  • Djairo G. De Figueiredo
  • Sergio Solimini

Organizations

  • University of Wisconsin–Madison

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Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Eigenvalues
  • Equations
  • Functional Analysis
  • Hypotheses
  • Inequalities
  • Mathematical Analysis
  • Mathematics
  • North Carolina
  • Partial Differential Equations
  • United States
  • Variational Methods
  • Variational Principles
  • Wisconsin

Fields of Study

  • Mathematics

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  • Calculus or Mathematical Analysis
  • Linear Algebra

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