scholarly journals Generalizations of Korn’s inequality based on gradient estimates in Orlicz spaces and applications to variational problems in 2D involving the trace free part of the symmetric gradient

2010 ◽  
Vol 167 (3) ◽  
pp. 418-434 ◽  
Author(s):  
M. Fuchs
Keyword(s):  
Orlicz Spaces ◽  
Variational Problems ◽  
Gradient Estimates ◽  
Free Part ◽  
Korn’S Inequality ◽  
Symmetric Gradient

Gradient estimates in Orlicz spaces for quasilinear elliptic equation

2008 ◽  
Vol 69 (8) ◽  
pp. 2553-2565 ◽  
Author(s):  
Fengping Yao ◽  
Yu Sun ◽  
Shulin Zhou
Keyword(s):  
Elliptic Equation ◽  
Quasilinear Elliptic Equation ◽  
Orlicz Spaces ◽  
Gradient Estimates ◽  
Quasilinear Elliptic

Calderón–Zygmund singular integrals in central Morrey–Orlicz spaces

2020 ◽  
Vol 72 (2) ◽  
pp. 235-259
Author(s):  
Lech Maligranda ◽  
Katsuo Matsuoka
Keyword(s):  
Singular Integrals ◽  
Orlicz Spaces

Martingale Rransforms between Hardy-Orlicz Spaces of LΦPredictable Martingales

2012 ◽  
Vol 14 (3) ◽  
pp. 245
Author(s):  
Feng LUO ◽  
Lin YU ◽  
Hongping GUO
Keyword(s):  
Orlicz Spaces

Müntz Rational Approximation in Orlicz Spaces

2012 ◽  
Vol 14 (1) ◽  
pp. 55
Author(s):  
Xiaohong WU ◽  
Garidi WU
Keyword(s):  
Rational Approximation ◽  
Orlicz Spaces

scholarly journals Cosmic Analogues of Classic Variational Problems

Universe ◽  
2020 ◽  
Vol 6 (6) ◽  
pp. 71 ◽  
Author(s):  
Valerio Faraoni
Keyword(s):  
Relativistic Particle ◽  
Friedmann Equation ◽  
Variational Calculus ◽  
Variational Problems ◽  
Particle Mechanics ◽  
One Dimensional ◽  
Spatially Homogeneous

Several classic one-dimensional problems of variational calculus originating in non-relativistic particle mechanics have solutions that are analogues of spatially homogeneous and isotropic universes. They are ruled by an equation which is formally a Friedmann equation for a suitable cosmic fluid. These problems are revisited and their cosmic analogues are pointed out. Some correspond to the main solutions of cosmology, while others are analogous to exotic cosmologies with phantom fluids and finite future singularities.

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