Régularité Gevrey des solutions de l'équation de Monge-Ampère réelle

Saoussen Kallel-Jallouli

Bollettino dell'Unione Matematica Italiana (2003)

  • Volume: 6-B, Issue: 3, page 629-656
  • ISSN: 0392-4041

Abstract

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0.1 {ll (uij+aij(x,u, u))=K(x) f(x,u, u) in Rn u| = . where the curvature K satisfies: K > 0 in Ω , K = 0 d ⁢ K ≠ 0 on ∂ ⁡ Ω , and f is strictly positive. We prove that if the data Ω , a i ⁢ j , K , f , φ are in a Gevrey class, every C 3 solution ( C 2 if n = 2 ) of problem 0.1 is in the same Gevrey class on Ω ¯ .

How to cite

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Kallel-Jallouli, Saoussen. "Régularité Gevrey des solutions de l'équation de Monge-Ampère réelle." Bollettino dell'Unione Matematica Italiana 6-B.3 (2003): 629-656. <http://eudml.org/doc/194637>.

@article{Kallel2003,
author = {Kallel-Jallouli, Saoussen},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {fre},
month = {10},
number = {3},
pages = {629-656},
publisher = {Unione Matematica Italiana},
title = {Régularité Gevrey des solutions de l'équation de Monge-Ampère réelle},
url = {http://eudml.org/doc/194637},
volume = {6-B},
year = {2003},
}

TY - JOUR
AU - Kallel-Jallouli, Saoussen
TI - Régularité Gevrey des solutions de l'équation de Monge-Ampère réelle
JO - Bollettino dell'Unione Matematica Italiana
DA - 2003/10//
PB - Unione Matematica Italiana
VL - 6-B
IS - 3
SP - 629
EP - 656
LA - fre
UR - http://eudml.org/doc/194637
ER -

References

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