scholarly journals Hölder regularity of two-dimensional almost-minimal sets in \mathbb{R}^n

2009 ◽  
Vol 18 (1) ◽  
pp. 65-246 ◽  
Author(s):  
Guy David
Keyword(s):  
Hölder Regularity ◽  
Two Dimensional ◽  
Minimal Sets ◽  
Holder Regularity

scholarly journals Hölder regularity at the boundary of two-dimensional sliding almost minimal sets

2018 ◽  
Vol 11 (1) ◽  
pp. 29-63
Author(s):  
Yangqin Fang
Keyword(s):  
Regularity Result ◽  
Hölder Regularity ◽  
Two Dimensional ◽  
Soap Films ◽  
Regularity Theorem ◽  
Plateau’S Problem ◽  
Minimal Sets ◽  
Plateau's Problem ◽  
Dimension 2 ◽  
Holder Regularity

AbstractIn [15], Jean Taylor proved a regularity theorem away from the boundary for Almgren almost minimal sets of dimension 2 in {\mathbb{R}^{3}}. It is quite important for understanding the soap films and the solutions of Plateau’s problem away from boundary. In this paper, we will give a regularity result on the boundary for two-dimensional sliding almost minimal sets in {\mathbb{R}^{3}}.

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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