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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	226
Journal	Calculus of Variations and Partial Differential Equations
Volume	64
Issue number	7
DOIs	https://doi.org/10.1007/s00526-025-03062-x
Publication status	Published - 1 Sept 2025
Externally published	Yes

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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",

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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.

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DO - 10.1007/s00526-025-03062-x

M3 - Article

AN - SCOPUS:105013896469

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VL - 64

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

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Stability estimate for the Lane–Emden inequality

Abstract

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