تقرير
New analytical and geometrical aspects on Trudinger-Moser type inequality in 2D
| العنوان: | New analytical and geometrical aspects on Trudinger-Moser type inequality in 2D |
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| المؤلفون: | Borgia, Natalino, Cingolani, Silvia, Mancini, Gabriele |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 35A23, 35A15, 35J50, 35B38, 35J15, 45K05, 58J90 |
| الوصف: | The present survey is devoted to results on Trudinger-Moser inequalities in two dimension. We give a brief overview of the history of these celebrated inequalities and, starting from the geometric problem that motivated Moser's original work, we discuss the connection between Onofri's inequality for the unit sphere and sharp inequalities on Euclidean domains. Finally, we present recent results and new insights into nonlocal interaction energy functionals in two dimension, involving logarithmic kernels. Comment: submitted for publication on the volume "Singularities, Asymptotics, and Limiting Models", Springer-INdAM series |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.02118 |
| رقم الأكسشن: | edsarx.2405.02118 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |