التفاصيل البيبلوغرافية
| العنوان: |
Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds |
| المؤلفون: |
Nobili, Francesco, Violo, Ivan Yuri |
| بيانات النشر: |
Elsevier |
| سنة النشر: |
2024 |
| المجموعة: |
JYX - Jyväskylä University Digital Archive / Jyväskylän yliopiston julkaisuarkisto |
| مصطلحات موضوعية: |
Ricci curvature, Sobolev inequalities, concentration compactness, stability, differentiaaligeometria, osittaisdifferentiaaliyhtälöt, epäyhtälöt |
| الوصف: |
We study the qualitative stability of two classes of Sobolev inequalities on Riemannian manifolds. In the case of positive Ricci curvature, we prove that an almost extremal function for the sharp Sobolev inequality is close to an extremal function of the round sphere. In the setting of non-negative Ricci curvature and Euclidean volume growth, we show an analogous result in comparison with the extremal functions in the Euclidean Sobolev inequality. As an application, we deduce a stability result for minimizing Yamabe metrics. The arguments rely on a generalized Lions' concentration compactness on varying spaces and on rigidity results of Sobolev inequalities on singular spaces. ; peerReviewed |
| نوع الوثيقة: |
article in journal/newspaper |
| وصف الملف: |
application/pdf; fulltext |
| اللغة: |
English |
| تدمد: |
0001-8708 |
| العلاقة: |
Advances in Mathematics; 440; 314789; 328846; Research Council of Finland; Suomen Akatemia; Nobili, F., & Violo, I. Y. (2024). Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds. Advances in Mathematics , 440 , Article 109521. https://doi.org/10.1016/j.aim.2024.109521Test; CONVID_207000065; URN:NBN:fi:jyu-202402141866; http://urn.fi/URN:NBN:fi:jyu-202402141866Test |
| الإتاحة: |
http://urn.fi/URN:NBN:fi:jyu-202402141866Test |
| حقوق: |
CC BY 4.0 ; © 2024 The Author(s). Published by Elsevier Inc. ; openAccess ; https://creativecommons.org/licenses/by/4.0Test/ |
| رقم الانضمام: |
edsbas.6CF52670 |
| قاعدة البيانات: |
BASE |
