Pointwise Inequalities for Elliptic Boundary Value Problems

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)391-398
Journal / PublicationJournal of Mathematical Sciences
Volume210
Issue number4
Online published21 Sept 2015
Publication statusPublished - Oct 2015

Abstract

We introduce a new approach for obtaining pointwise estimates for solutions of elliptic boundary value problems when the operator satisfies a certain type of weighted integral inequalities. The method is illustrated on several examples, including a scalar secondorder elliptic equation, the 3D Lamé system, and a scalar higher-order elliptic equation. The techniques can be extended to other elliptic boundary value problems provided that the corresponding weighted integral inequalities are satisfied. Bibliography: 36 titles.

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Full text of this publication does not contain sufficient affiliation information. With consent from the author(s) concerned, the Research Unit(s) information for this record is based on the existing academic department affiliation of the author(s).

Citation Format(s)

Pointwise Inequalities for Elliptic Boundary Value Problems. / Luo, G.; Maz’ya, V. G.
In: Journal of Mathematical Sciences, Vol. 210, No. 4, 10.2015, p. 391-398.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review