scholarly journals Sobolev and Hölder regularity results for some singular nonhomogeneous quasilinear problems

2021 ◽  
Vol 60 (3) ◽  
Author(s):  
Jacques Giacomoni ◽  
Deepak Kumar ◽  
K. Sreenadh
Keyword(s):  
Hölder Regularity ◽  
Quasilinear Problems ◽  
Regularity Results ◽  
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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