Regularity properties of solutions of elliptic equations in in limit cases
Angela Alberico; Vincenzo Ferone
- Volume: 6, Issue: 4, page 237-250
- ISSN: 1120-6330
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topAlberico, Angela, and Ferone, Vincenzo. "Regularity properties of solutions of elliptic equations in \( \mathbb{R}^{2} \) in limit cases." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 6.4 (1995): 237-250. <http://eudml.org/doc/244102>.
@article{Alberico1995,
abstract = {In this paper the Dirichlet problem for a linear elliptic equation in an open, bounded subset of \( \mathbb\{R\}^\{2\} \) is studied. Regularity properties of the solutions are proved, when the data are \( L^\{1\} \)-functions or Radon measures. In particular sharp assumptions which guarantee the continuity of solutions are given.},
author = {Alberico, Angela, Ferone, Vincenzo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Elliptic equations; Lorentz spaces; Continuity properties},
language = {eng},
month = {12},
number = {4},
pages = {237-250},
publisher = {Accademia Nazionale dei Lincei},
title = {Regularity properties of solutions of elliptic equations in \( \mathbb\{R\}^\{2\} \) in limit cases},
url = {http://eudml.org/doc/244102},
volume = {6},
year = {1995},
}
TY - JOUR
AU - Alberico, Angela
AU - Ferone, Vincenzo
TI - Regularity properties of solutions of elliptic equations in \( \mathbb{R}^{2} \) in limit cases
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1995/12//
PB - Accademia Nazionale dei Lincei
VL - 6
IS - 4
SP - 237
EP - 250
AB - In this paper the Dirichlet problem for a linear elliptic equation in an open, bounded subset of \( \mathbb{R}^{2} \) is studied. Regularity properties of the solutions are proved, when the data are \( L^{1} \)-functions or Radon measures. In particular sharp assumptions which guarantee the continuity of solutions are given.
LA - eng
KW - Elliptic equations; Lorentz spaces; Continuity properties
UR - http://eudml.org/doc/244102
ER -
References
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