Some Liouville theorems for PDE problems in periodic media

Luis Caffarelli

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (2003)

  • Volume: 14, Issue: 3, page 247-256
  • ISSN: 1120-6330

Abstract

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Liouville problems in periodic media (i.e. the study of properties of global solutions to PDE) arise both in homogenization and dynamical systems. We discuss some recent results for minimal surfaces and free boundaries.

How to cite

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Caffarelli, Luis. "Some Liouville theorems for PDE problems in periodic media." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 14.3 (2003): 247-256. <http://eudml.org/doc/252309>.

@article{Caffarelli2003,
abstract = {Liouville problems in periodic media (i.e. the study of properties of global solutions to PDE) arise both in homogenization and dynamical systems. We discuss some recent results for minimal surfaces and free boundaries.},
author = {Caffarelli, Luis},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Periodic Media; Liouville; Homogenization; periodic media; homogenization},
language = {eng},
month = {9},
number = {3},
pages = {247-256},
publisher = {Accademia Nazionale dei Lincei},
title = {Some Liouville theorems for PDE problems in periodic media},
url = {http://eudml.org/doc/252309},
volume = {14},
year = {2003},
}

TY - JOUR
AU - Caffarelli, Luis
TI - Some Liouville theorems for PDE problems in periodic media
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 2003/9//
PB - Accademia Nazionale dei Lincei
VL - 14
IS - 3
SP - 247
EP - 256
AB - Liouville problems in periodic media (i.e. the study of properties of global solutions to PDE) arise both in homogenization and dynamical systems. We discuss some recent results for minimal surfaces and free boundaries.
LA - eng
KW - Periodic Media; Liouville; Homogenization; periodic media; homogenization
UR - http://eudml.org/doc/252309
ER -

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