Accession Number:

ADA142895

Title:

Weighted Inequalities and Degenerate Elliptic Partial Differential Equations.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Stredulinsky,E. W.

Report Date:

1984-05-01

Pagination or Media Count:

226.0

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

Descriptors:

• *PARTIAL DIFFERENTIAL EQUATIONS
• WEIGHTING FUNCTIONS
• THEOREMS
• INEQUALITIES

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE