Stability estimate for the Lane–Emden inequality

Eric Carlen; Mathieu Lewin; Elliott H. Lieb; Robert Seiringer

doi:10.1007/s00526-025-03062-x

Stability estimate for the Lane–Emden inequality

Eric Carlen
, Mathieu Lewin
, Elliott H. Lieb
, Robert Seiringer

Department of Mathematics
Université Paris Dauphine
Princeton University
University of Freiburg

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

The Lane–Emden inequality controls in terms of the and norms of. We provide a remainder estimate for this inequality in terms of a suitable distance of to the manifold of optimizers.

langue originale	Anglais
Numéro d'article	226
journal	Calculus of Variations and Partial Differential Equations
Volume	64
Numéro de publication	7
Les DOIs	https://doi.org/10.1007/s00526-025-03062-x
état	Publié - 1 sept. 2025
Modification externe	Oui

Accès au document

10.1007/s00526-025-03062-x

Autres fichiers et liens

Lien vers la publication dans Scopus

Contient cette citation

@article{a0fe954fbe624195bc2a7507ec568e6b,

title = "Stability estimate for the Lane–Emden inequality",

abstract = "The Lane–Emden inequality controls in terms of the and norms of. We provide a remainder estimate for this inequality in terms of a suitable distance of to the manifold of optimizers.",

author = "Eric Carlen and Mathieu Lewin and Lieb, \{Elliott H.\} and Robert Seiringer",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2025.",

year = "2025",

month = sep,

day = "1",

doi = "10.1007/s00526-025-03062-x",

language = "English",

volume = "64",

journal = "Calculus of Variations and Partial Differential Equations",

issn = "0944-2669",

number = "7",

}

TY - JOUR

T1 - Stability estimate for the Lane–Emden inequality

AU - Carlen, Eric

AU - Lewin, Mathieu

AU - Lieb, Elliott H.

AU - Seiringer, Robert

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2025.

PY - 2025/9/1

Y1 - 2025/9/1

N2 - The Lane–Emden inequality controls in terms of the and norms of. We provide a remainder estimate for this inequality in terms of a suitable distance of to the manifold of optimizers.

AB - The Lane–Emden inequality controls in terms of the and norms of. We provide a remainder estimate for this inequality in terms of a suitable distance of to the manifold of optimizers.

UR - https://www.scopus.com/pages/publications/105013896469

U2 - 10.1007/s00526-025-03062-x

DO - 10.1007/s00526-025-03062-x

M3 - Article

AN - SCOPUS:105013896469

SN - 0944-2669

VL - 64

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 7

M1 - 226

ER -

Stability estimate for the Lane–Emden inequality

Résumé

Accès au document

Autres fichiers et liens

Empreinte digitale

Contient cette citation