Two-Scale Convergence of Integral Functionals with Convex, Periodic and Nonstandard Growth Integrands

2012 ◽  
Vol 121 (1) ◽  
pp. 175-196 ◽  
Author(s):  
Joel Fotso Tachago ◽  
Hubert Nnang
Keyword(s):  
Integral Functionals ◽  
Nonstandard Growth

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 Perpetual integral functionals of multidimensional stochastic processes

Stochastics ◽  
2021 ◽  
pp. 1-12
Author(s):  
Yuri Kondratiev ◽  
Yuliya Mishura ◽  
José L. da Silva
Keyword(s):  
Stochastic Processes ◽  
Integral Functionals
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