Hölder regularity of the solutions of some classes of elliptic systems in convex nonsmooth domains

2005 ◽  
Vol 60 (5) ◽  
pp. 925-944 ◽  
Author(s):  
S. Leonardi ◽  
J. Kottas ◽  
J. Stará
Keyword(s):  
Elliptic Systems ◽  
Hölder Regularity ◽  
Nonsmooth Domains ◽  
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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