Minimizing sequences of Sobolev inequalities revisited

التفاصيل البيبلوغرافية
العنوان: Minimizing sequences of Sobolev inequalities revisited
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