Bounds for best constants in subcritical Sobolev embeddings

2019 ◽  
Vol 187 ◽  
pp. 438-449 ◽  
Author(s):  
Daniele Cassani ◽  
Cristina Tarsi ◽  
Jianjun Zhang
Keyword(s):  
Best Constants ◽  
Sobolev Embeddings

On a problem of Huang concerning best constants in Sobolev embeddings

2014 ◽  
Vol 194 (3) ◽  
pp. 767-779 ◽  
Author(s):  
Giovanni Anello ◽  
Francesca Faraci ◽  
Antonio Iannizzotto
Keyword(s):  
Best Constants ◽  
Sobolev Embeddings

scholarly journals On Certain Extension of Hilbert's Integral Inequality with Best Constants

2008 ◽  
Vol 48 (3) ◽  
pp. 457-463
Author(s):  
Yongjin Li ◽  
Yu Lin ◽  
Bing He
Keyword(s):  
Integral Inequality ◽  
Best Constants

Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents

2011 ◽  
Vol 56 (7-9) ◽  
pp. 671-695 ◽  
Author(s):  
Yoshihiro Mizuta ◽  
Eiichi Nakai ◽  
Takao Ohno ◽  
Tetsu Shimomura
Keyword(s):  
Morrey Spaces ◽  
Variable Exponents ◽  
Riesz Potentials ◽  
Sobolev Embeddings

scholarly journals The sobolev embeddings are usually sharp

2005 ◽  
Vol 2005 (4) ◽  
pp. 437-448 ◽  
Author(s):  
A. Fraysse ◽  
S. Jaffard
Keyword(s):  
Sobolev Space ◽  
Besov Space ◽  
Hölder Regularity ◽  
Sobolev Embeddings ◽  
Residual Sets ◽  
Holder Regularity

Letx0∈ℝd; we study the Hölder regularity atx0of a generic function of the Sobolev spaceLp,s(ℝd)and of the Besov spaceBps,q(ℝd)fors−d/p>0. The setting for genericity is supplied here by HP-residual sets.

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