Complete low-cut filter and the best constant of Sobolev inequality
نویسندگان
چکیده
منابع مشابه
Best Constant in Sobolev Inequality
The equality sign holds in (1) i] u has the Jorm: (3) u(x) = [a + btxI,~',-'] 1-~1~ , where Ix[ = (x~ @ ...-~x~) 1⁄2 and a, b are positive constants. Sobolev inequalities, also called Sobolev imbedding theorems, are very popular among writers in part ial differential equations or in the calculus of variations, and have been investigated by a great number of authors. Nevertheless there is a ques...
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1 Department of Computer Science, National Defense Academy, 1-10-20 Hashirimizu, Yokosuka 239-8686, Japan 2 Graduate School of Mathematical Sciences, Faculty of Engineering Science, Osaka University, 1–3 Matikaneyamatyo, Toyonaka 560-8531, Japan 3 Liberal Arts and Basic Sciences, College of Industrial Technology, Nihon University, 2-11-1 Shinei, Narashino 275-8576, Japan 4 Department of Monozuk...
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ژورنال
عنوان ژورنال: JSIAM Letters
سال: 2013
ISSN: 1883-0609,1883-0617
DOI: 10.14495/jsiaml.5.33