A Unifying Note on Fatou's Lemma in Several Dimensions.

Abstract

A general version of Fatou's lemma in several dimensions is presented. It generalizes the Fatou lemmas given by Schmeidler (1970), Hildenbrand (1974), Cesari-Suryanarayana (1978) and Artstein (1979). Also, it is equivalent to an abstract variational existence result that extends and generalizes results by Aumann-Perles (1965), Berliocchi-Lasry (1973), Artstein (1974) and Balder (1979) in several respects. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1982
Accession Number
ADA116156

Entities

People

  • E. J. Balder

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Algebra
  • Classification
  • Contracts
  • Control Theory
  • Economics
  • Functional Analysis
  • Mathematical Analysis
  • Multivariate Analysis
  • Nonlinear Analysis
  • North Carolina
  • Sequences
  • Theorems
  • Topology
  • United States
  • Universities
  • Wisconsin

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Military Logistics and Supply Chain Management