A variant on Miranda-Talenti extimate

In this note we prove formula (1.1),which extends to functions in  <em>W^{2,2}(Ω)</em> with zero normal derivative the analogous formula (1.2) by G. Talenti ([5]) on functions with zero trace. To prove (1.1) we use the technique introduced by C. Miranda in [3] and give a geometrical inte...

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Main Authors: Giuseppe Devillanova, Fabrizio Pugliese
Format: Article
Language:English
Published: Università degli Studi di Catania 1999-05-01
Series:Le Matematiche
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/316
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author Giuseppe Devillanova
Fabrizio Pugliese
author_facet Giuseppe Devillanova
Fabrizio Pugliese
author_sort Giuseppe Devillanova
collection DOAJ
description In this note we prove formula (1.1),which extends to functions in  <em>W^{2,2}(Ω)</em> with zero normal derivative the analogous formula (1.2) by G. Talenti ([5]) on functions with zero trace. To prove (1.1) we use the technique introduced by C. Miranda in [3] and give a geometrical interpretation of his results (formula (2.17)).<br />
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spelling doaj.art-d676b7067b0f4e5f849477a4136d85732022-12-21T23:58:32ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981999-05-015419197292A variant on Miranda-Talenti extimateGiuseppe DevillanovaFabrizio PuglieseIn this note we prove formula (1.1),which extends to functions in  <em>W^{2,2}(Ω)</em> with zero normal derivative the analogous formula (1.2) by G. Talenti ([5]) on functions with zero trace. To prove (1.1) we use the technique introduced by C. Miranda in [3] and give a geometrical interpretation of his results (formula (2.17)).<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/316
spellingShingle Giuseppe Devillanova
Fabrizio Pugliese
A variant on Miranda-Talenti extimate
Le Matematiche
title A variant on Miranda-Talenti extimate
title_full A variant on Miranda-Talenti extimate
title_fullStr A variant on Miranda-Talenti extimate
title_full_unstemmed A variant on Miranda-Talenti extimate
title_short A variant on Miranda-Talenti extimate
title_sort variant on miranda talenti extimate
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/316
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