Homogenization of nonlinear elliptic systems in nonreflexive Musielak-Orlicz spaces

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10401794" target="_blank" >RIV/00216208:11320/19:10401794 - isvavai.cz</a>

Výsledek na webu

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=2KsCLZnheS" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=2KsCLZnheS</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1361-6544/aaf259" target="_blank" >10.1088/1361-6544/aaf259</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Homogenization of nonlinear elliptic systems in nonreflexive Musielak-Orlicz spaces

Popis výsledku v původním jazyce

We study the homogenization process for families of strongly nonlinear elliptic systems with the homogeneous Dirichlet boundary conditions. The growth and the coercivity of the elliptic operator is assumed to be indicated by a general inhomogeneous anisotropic N-function M, which may also depend on the spatial variable, i.e. the homogenization process will change the underlying function spaces and the nonlinear elliptic operator at each step. The problem of homogenization of nonlinear elliptic systems has been solved for the L-P-setting with restrictions either on constant exponent or variable exponent that is assumed to be additionally log-Holder continuous. These results correspond to a very particular case of N-functions satisfying both Delta(2) and del(2)-conditions. We show that for general M satisfying a condition of log-Holder type continuity, one can provide a rather general theory without any assumption on the validity of neither Delta(2) nor del(2)-conditions.

Název v anglickém jazyce

Homogenization of nonlinear elliptic systems in nonreflexive Musielak-Orlicz spaces

Popis výsledku anglicky

We study the homogenization process for families of strongly nonlinear elliptic systems with the homogeneous Dirichlet boundary conditions. The growth and the coercivity of the elliptic operator is assumed to be indicated by a general inhomogeneous anisotropic N-function M, which may also depend on the spatial variable, i.e. the homogenization process will change the underlying function spaces and the nonlinear elliptic operator at each step. The problem of homogenization of nonlinear elliptic systems has been solved for the L-P-setting with restrictions either on constant exponent or variable exponent that is assumed to be additionally log-Holder continuous. These results correspond to a very particular case of N-functions satisfying both Delta(2) and del(2)-conditions. We show that for general M satisfying a condition of log-Holder type continuity, one can provide a rather general theory without any assumption on the validity of neither Delta(2) nor del(2)-conditions.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA16-03230S" target="_blank" >GA16-03230S: Termodynamicky konzistentni modely pro proudění tekutin: matematická teorie a numerické řešení</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Nonlinearity

ISSN

0951-7715

e-ISSN

—

Svazek periodika

32

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

38

Strana od-do

1073-1110

Kód UT WoS článku

000458634000005

EID výsledku v databázi Scopus

2-s2.0-85062531187