Optimal regularity for the pseudo infinity Laplacian
ESAIM: Control, Optimisation and Calculus of Variations (2007)
- Volume: 13, Issue: 2, page 294-304
- ISSN: 1292-8119
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topRossi, Julio D., and Saez, Mariel. "Optimal regularity for the pseudo infinity Laplacian." ESAIM: Control, Optimisation and Calculus of Variations 13.2 (2007): 294-304. <http://eudml.org/doc/249934>.
@article{Rossi2007,
abstract = {
In this paper we find the optimal regularity for viscosity
solutions of the pseudo infinity Laplacian. We prove that the
solutions are locally Lipschitz and show an example that proves
that this result is optimal. We also show existence and uniqueness
for the Dirichlet problem.
},
author = {Rossi, Julio D., Saez, Mariel},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Viscosity solutions; optimal regularity; pseudo infinity Laplacian; viscosity solutions; existence; uniqueness; Dirichlet problem},
language = {eng},
month = {5},
number = {2},
pages = {294-304},
publisher = {EDP Sciences},
title = {Optimal regularity for the pseudo infinity Laplacian},
url = {http://eudml.org/doc/249934},
volume = {13},
year = {2007},
}
TY - JOUR
AU - Rossi, Julio D.
AU - Saez, Mariel
TI - Optimal regularity for the pseudo infinity Laplacian
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2007/5//
PB - EDP Sciences
VL - 13
IS - 2
SP - 294
EP - 304
AB -
In this paper we find the optimal regularity for viscosity
solutions of the pseudo infinity Laplacian. We prove that the
solutions are locally Lipschitz and show an example that proves
that this result is optimal. We also show existence and uniqueness
for the Dirichlet problem.
LA - eng
KW - Viscosity solutions; optimal regularity; pseudo infinity Laplacian; viscosity solutions; existence; uniqueness; Dirichlet problem
UR - http://eudml.org/doc/249934
ER -
References
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