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.

scholarly journals Characterization of Pointwise Hölder Regularity

1997 ◽  
Vol 4 (4) ◽  
pp. 429-443 ◽  
Author(s):  
Patrik Andersson
Keyword(s):  
Hölder Regularity ◽  
Holder Regularity

scholarly journals Hölder regularity for degenerate parabolic equations with variable exponents

2022 ◽  
Vol 40 ◽  
pp. 1-19
Author(s):  
Hamid EL Bahja
Keyword(s):  
Weak Solutions ◽  
Parabolic Equations ◽  
Degenerate Parabolic Equations ◽  
Hölder Regularity ◽  
Variable Exponents ◽  
Young’S Inequality ◽  
Scaling Method ◽  
Degenerate Parabolic ◽  
Young's Inequality ◽  
Holder Regularity

In this paper, we discuss a class of degenerate parabolic equations with variable exponents. By  using the Steklov average and Young's inequality, we establish energy and logarithmicestimates for solutions to these equations. Then based on the intrinsic scaling method, we provethat local weak solutions are locally continuous.

scholarly journals Hölder regularity for the spectrum of translation flows

2021 ◽  
Vol 8 ◽  
pp. 279-310
Author(s):  
Alexander I. Bufetov ◽  
Boris Solomyak
Keyword(s):  
Hölder Regularity ◽  
Holder Regularity
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