On the Existence of Positive Solutions of Semilinear Elliptic Equations.

Abstract

In this paper we study the existence of positive solutions of semilinear elliptic equations. Various possible behaviors of the nonlinearity are considered and in each case nearly optimal multiplicity results are obtained. The results are also interpreted in terms of bifurcation diagrams. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1981
Accession Number
ADA100612

Entities

People

  • Pierre Louis Lions

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Algebra
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Eigenvalues
  • Equations
  • Geometry
  • Inequalities
  • Mathematics
  • Military Research
  • New York
  • Nonlinear Analysis
  • Nonlinear Differential Equations
  • Theorems
  • Universities
  • Variational Methods
  • Wisconsin

Fields of Study

  • Mathematics

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  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Military Engineering.
  • Theoretical Analysis.