Dirichlet problem with L^p-boundary data for real sub-Laplacians

Dirichlet problem with L^p-boundary data for real sub-Laplacians

Let <em>L</em> be a real sub-Laplacian on a stratified Lie group <em>G</em>. In this note we present some results on the Dirichlet problem for <em>L</em> with <em>L^p</em>-boundary data, on domains which are contractible with respect to the natural dil...

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Main Author: Ermanno Lanconelli
Format: Article
Language:English
Published: Università degli Studi di Catania 2005-11-01
Series:Le Matematiche
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/150
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spelling doaj-9594573884d84294b9066134a118e19f2020-11-25T03:19:01ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982005-11-01602269277128Dirichlet problem with L^p-boundary data for real sub-LaplaciansErmanno LanconelliLet <em>L</em> be a real sub-Laplacian on a stratified Lie group <em>G</em>. In this note we present some results on the Dirichlet problem for <em>L</em> with <em>L^p</em>-boundary data, on domains which are contractible with respect to the natural dilations of <em>G</em>. One of the main difficulties we overcome is the presence of non-regular boundary points for the usual Dirichlet problem for <em>L.</em> A potential theoretical approach is followed.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/150
collection DOAJ
language English
format Article
sources DOAJ
author Ermanno Lanconelli
spellingShingle Ermanno Lanconelli
Dirichlet problem with L^p-boundary data for real sub-Laplacians
Le Matematiche
author_facet Ermanno Lanconelli
author_sort Ermanno Lanconelli
title Dirichlet problem with L^p-boundary data for real sub-Laplacians
title_short Dirichlet problem with L^p-boundary data for real sub-Laplacians
title_full Dirichlet problem with L^p-boundary data for real sub-Laplacians
title_fullStr Dirichlet problem with L^p-boundary data for real sub-Laplacians
title_full_unstemmed Dirichlet problem with L^p-boundary data for real sub-Laplacians
title_sort dirichlet problem with l^p-boundary data for real sub-laplacians
publisher Università degli Studi di Catania
series Le Matematiche
issn 0373-3505
2037-5298
publishDate 2005-11-01
description Let <em>L</em> be a real sub-Laplacian on a stratified Lie group <em>G</em>. In this note we present some results on the Dirichlet problem for <em>L</em> with <em>L^p</em>-boundary data, on domains which are contractible with respect to the natural dilations of <em>G</em>. One of the main difficulties we overcome is the presence of non-regular boundary points for the usual Dirichlet problem for <em>L.</em> A potential theoretical approach is followed.<br />
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/150
work_keys_str_mv AT ermannolanconelli dirichletproblemwithlpboundarydataforrealsublaplacians
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