کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841328 908506 2010 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Brézis–Gallouët–Wainger type inequality with a double logarithmic term in the Hölder space: Its sharp constants and extremal functions
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Brézis–Gallouët–Wainger type inequality with a double logarithmic term in the Hölder space: Its sharp constants and extremal functions
چکیده انگلیسی

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 RnRn. Ibrahim, Majdoub and Masmoudi gave the sharp constant in the two-dimensional case. We make precise estimates to give the sharp constants, and pass to the case of higher dimensions n≥2n≥2. We can also show that the inequality with fixed constants including the sharp ones admits an extremal function under a suitable condition when the domain is a ball.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 73, Issue 6, 15 September 2010, Pages 1747–1766
نویسندگان
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