Nous montrons que certains opérateurs affines en la courbure de Ricci sont localement inversibles, dans des espaces de Sobolev à poids, au voisinage de la métrique euclidienne.
We show that some operators, affine relatively to the Ricci curvature, are locally invertible, in some weithted sobolev spaces, near the euclidiean metric.
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DOI : 10.24033/bsmf.2742
Mots-clés : Courbure de Ricci, 2-tenseurs symétriques, EDP elliptique quasi-linéaire, espaces de Sobolev à poids.
Keywords: Ricci curvature, symmetric 2-tensors, quasi-linear elliptic PDE, weighted sobolev spaces.
Delay, Erwann 1
@article{BSMF_2017__145_3_411_0,
author = {Delay, Erwann},
title = {Inversion d{\textquoteright}op\'erateurs de courbures au voisinage de la m\'etrique euclidienne},
journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
pages = {411--420},
year = {2017},
publisher = {Soci\'et\'e math\'ematique de France},
volume = {145},
number = {3},
doi = {10.24033/bsmf.2742},
zbl = {1386.53039},
mrnumber = {3766115},
language = {fr},
url = {https://www.numdam.org/articles/10.24033/bsmf.2742/}
}
TY - JOUR AU - Delay, Erwann TI - Inversion d’opérateurs de courbures au voisinage de la métrique euclidienne JO - Bulletin de la Société Mathématique de France PY - 2017 SP - 411 EP - 420 VL - 145 IS - 3 PB - Société mathématique de France UR - https://www.numdam.org/articles/10.24033/bsmf.2742/ DO - 10.24033/bsmf.2742 LA - fr ID - BSMF_2017__145_3_411_0 ER -
%0 Journal Article %A Delay, Erwann %T Inversion d’opérateurs de courbures au voisinage de la métrique euclidienne %J Bulletin de la Société Mathématique de France %D 2017 %P 411-420 %V 145 %N 3 %I Société mathématique de France %U https://www.numdam.org/articles/10.24033/bsmf.2742/ %R 10.24033/bsmf.2742 %G fr %F BSMF_2017__145_3_411_0
Delay, Erwann. Inversion d’opérateurs de courbures au voisinage de la métrique euclidienne. Bulletin de la Société Mathématique de France, Tome 145 (2017) no. 3, pp. 411-420. doi: 10.24033/bsmf.2742
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