Search results for "Euclidean domain"

showing 2 items of 2 documents

On the fusion problem for degenerate elliptic equations

1995

Let F be a relatively closed subset of a Euclidean domain Ω. We investigate when solutions u to certain elliptic equations on Ω/F are restrictions of solutions on all of Ω. Specifically, we show that if ∂F is not too large, and u has a suitable decay rate near F, then u can be so extended.

FusionPure mathematicsPartial differential equationApplied Mathematics010102 general mathematicsDegenerate energy levelsMathematical analysisMathematical statistics01 natural sciences010104 statistics & probabilitySingularityEuclidean domain0101 mathematicsAnalysisMathematicsCommunications in Partial Differential Equations
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Orlicz-Hardy inequalities

2004

We relate Orlicz-Hardy inequalities on a bounded Euclidean domain to certain fatness conditions on the complement. In the case of certain log-scale distortions of Ln, this relationship is necessary and sufficient, thus extending results of Ancona, Lewis, and Wannebo. peerReviewed

Pure mathematicsMathematics::Functional AnalysisInequalityGeneral Mathematicsmedia_common.quotation_subjectOrlicz-HardyMathematical statisticsMathematics::Classical Analysis and ODEsMathematics & StatisticsComplement (complexity)Algebra26D1546E30inequalitiesBounded functionEuclidean domainMathematicsmedia_common
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