Report
Minimizing sequences of Sobolev inequalities revisited
العنوان: | Minimizing sequences of Sobolev inequalities revisited |
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المؤلفون: | Dietze, Charlotte, Nam, Phan Thành |
سنة النشر: | 2024 |
المجموعة: | Mathematics Mathematical Physics |
مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Mathematical Physics |
الوصف: | We give a new proof of the compactness of minimizing sequences of the Sobolev inequalities in the critical case. Our approach relies on a simplified version of the concentration-compactness principle, which does not require any refinement of the Sobolev embedding theorem. Comment: 12 pages |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2412.08616 |
رقم الانضمام: | edsarx.2412.08616 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |