Morrey regularity for almost minimizers of asymptotically convex functionals with nonstandard growth

2011 ◽  
pp. ---
Author(s):  
Kyle Fey ◽  
Mikil Foss
Keyword(s):  
Nonstandard Growth ◽  
Convex Functionals ◽  
Morrey Regularity

scholarly journals Reiterated periodic homogenization of integral functionals with convex and nonstandard growth integrands

2021 ◽  
Vol 41 (1) ◽  
pp. 113-143
Author(s):  
Joel Fotso Tachago ◽  
Hubert Nnang ◽  
Elvira Zappale
Keyword(s):  
Convex Function ◽  
Integral Functionals ◽  
Periodic Homogenization ◽  
Nonstandard Growth ◽  
Convex Functionals ◽  
Convergence Method ◽  
Highly Oscillatory

Multiscale periodic homogenization is extended to an Orlicz-Sobolev setting. It is shown by the reiteraded periodic two-scale convergence method that the sequence of minimizers of a class of highly oscillatory minimizations problems involving convex functionals, converges to the minimizers of a homogenized problem with a suitable convex function.

scholarly journals Extensions of convex functionals on convex cones

1998 ◽  
Vol 25 (3) ◽  
pp. 381-386
Author(s):  
E. Ignaczak ◽  
A. Paszkiewicz
Keyword(s):  
Convex Cones ◽  
Convex Functionals
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