Divergence forms of the infinity-Laplacian.
Luigi D'Onofrio; Flavia Giannetti; Tadeusz Iwaniec; Juan Manfredi; Teresa Radice
Publicacions Matemàtiques (2006)
- Volume: 50, Issue: 1, page 229-248
- ISSN: 0214-1493
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topD'Onofrio, Luigi, et al. "Divergence forms of the infinity-Laplacian.." Publicacions Matemàtiques 50.1 (2006): 229-248. <http://eudml.org/doc/41586>.
@article{DOnofrio2006,
abstract = {The central theme running through our investigation is the infinity-Laplacian operator in the plane. Upon multiplication by a suitable function we express it in divergence form, this allows us to speak of weak infinity-harmonic function in W1,2. To every infinity-harmonic function u we associate its conjugate function v. We focus our attention to the first order Beltrami type equation for h= u + iv},
author = {D'Onofrio, Luigi, Giannetti, Flavia, Iwaniec, Tadeusz, Manfredi, Juan, Radice, Teresa},
journal = {Publicacions Matemàtiques},
keywords = {Ecuaciones diferenciales elípticas; Operador laplaciano; Función armónica},
language = {eng},
number = {1},
pages = {229-248},
title = {Divergence forms of the infinity-Laplacian.},
url = {http://eudml.org/doc/41586},
volume = {50},
year = {2006},
}
TY - JOUR
AU - D'Onofrio, Luigi
AU - Giannetti, Flavia
AU - Iwaniec, Tadeusz
AU - Manfredi, Juan
AU - Radice, Teresa
TI - Divergence forms of the infinity-Laplacian.
JO - Publicacions Matemàtiques
PY - 2006
VL - 50
IS - 1
SP - 229
EP - 248
AB - The central theme running through our investigation is the infinity-Laplacian operator in the plane. Upon multiplication by a suitable function we express it in divergence form, this allows us to speak of weak infinity-harmonic function in W1,2. To every infinity-harmonic function u we associate its conjugate function v. We focus our attention to the first order Beltrami type equation for h= u + iv
LA - eng
KW - Ecuaciones diferenciales elípticas; Operador laplaciano; Función armónica
UR - http://eudml.org/doc/41586
ER -
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