Weighted Inequalities and Degenerate Elliptic Partial Differential Equations.

Abstract

Various weighted inequalities and weighted function spaces relevant to degenerate partial differential equations are studied. The results are applied to degenerate second order divergence form elliptic equations and systems to establish continuity of weak solutions. The methods used allow the consideration of very general classes of weights. In particular the weights are characterized for several Sobolev inequalities in terms of weighted capacities, a theorem is proven for weighted reverse Holder inequalities and a continuity estimate is established for certain weighted Sobolev spaces. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1984
Accession Number
ADA142895

Entities

People

  • E. W. Stredulinsky

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Computational Science
  • Diameters
  • Differential Equations
  • Equations
  • Geometry
  • Inequalities
  • Integrals
  • Materials
  • Mathematics
  • Measure Theory
  • Notation
  • Partial Differential Equations
  • Theorems
  • Two Dimensional
  • United States

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space