Stability estimate for the Lane–Emden inequality
Carlen E, Lewin M, Lieb EH, Seiringer R. 2025. Stability estimate for the Lane–Emden inequality. Calculus of Variations and Partial Differential Equations. 64(7), 226.
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Author
Carlen, Eric;
Lewin, Mathieu;
Lieb, Elliott H.;
Seiringer, RobertISTA 
Department
Abstract
The Lane–Emden inequality controls (math. formular) in terms of the L^1 and L^p norms of p. We provide a remainder estimate for this inequality in terms of a suitable distance of p to the manifold of optimizers.
Publishing Year
Date Published
2025-09-01
Journal Title
Calculus of Variations and Partial Differential Equations
Publisher
Springer Nature
Acknowledgement
We are grateful to Rupert Frank and Enno Lenzmann for helpful discussions.
Volume
64
Issue
7
Article Number
226
ISSN
eISSN
IST-REx-ID
Cite this
Carlen E, Lewin M, Lieb EH, Seiringer R. Stability estimate for the Lane–Emden inequality. Calculus of Variations and Partial Differential Equations. 2025;64(7). doi:10.1007/s00526-025-03062-x
Carlen, E., Lewin, M., Lieb, E. H., & Seiringer, R. (2025). Stability estimate for the Lane–Emden inequality. Calculus of Variations and Partial Differential Equations. Springer Nature. https://doi.org/10.1007/s00526-025-03062-x
Carlen, Eric, Mathieu Lewin, Elliott H. Lieb, and Robert Seiringer. “Stability Estimate for the Lane–Emden Inequality.” Calculus of Variations and Partial Differential Equations. Springer Nature, 2025. https://doi.org/10.1007/s00526-025-03062-x.
E. Carlen, M. Lewin, E. H. Lieb, and R. Seiringer, “Stability estimate for the Lane–Emden inequality,” Calculus of Variations and Partial Differential Equations, vol. 64, no. 7. Springer Nature, 2025.
Carlen E, Lewin M, Lieb EH, Seiringer R. 2025. Stability estimate for the Lane–Emden inequality. Calculus of Variations and Partial Differential Equations. 64(7), 226.
Carlen, Eric, et al. “Stability Estimate for the Lane–Emden Inequality.” Calculus of Variations and Partial Differential Equations, vol. 64, no. 7, 226, Springer Nature, 2025, doi:10.1007/s00526-025-03062-x.
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