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Hardy–Sobolev Type Inequalities with Sharp Constants in Carnot–Carathéodory Spaces

✍ Scribed by Donatella Danielli; Nicola Garofalo; Nguyen Cong Phuc


Publisher
Springer Netherlands
Year
2010
Tongue
English
Weight
453 KB
Volume
34
Category
Article
ISSN
0926-2601

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Brézis–Gallouët–Wainger type inequality
✍ Kei Morii; Tokushi Sato; Hidemitsu Wadade 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 479 KB

We investigate the sharp constants in a Brézis-Gallouët-Wainger type inequality with a double logarithmic term in the Hölder space in a bounded domain in R n . Ibrahim, Majdoub and Masmoudi gave the sharp constant in the two-dimensional case. We make precise estimates to give the sharp constants, an