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Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10419546" target="_blank" >RIV/00216208:11320/20:10419546 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=KNsoe9Zg6V" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=KNsoe9Zg6V</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.na.2019.03.010" target="_blank" >10.1016/j.na.2019.03.010</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces

  • Original language description

    We consider a strongly nonlinear elliptic problem with the homogeneous Dirichlet boundary condition. The growth and the coercivity of the elliptic operator is assumed to be indicated by an inhomogeneous anisotropic N-function. First, an existence result is shown under the assumption that the N-function or its convex conjugate satisfies Delta(2)-condition. The second result concerns the homogenization process for families of strongly nonlinear elliptic problems with the homogeneous Dirichlet boundary condition under above stated conditions on the elliptic operator, which is additionally assumed to be periodic in the spatial variable. (C) 2019 Elsevier Ltd. All rights reserved.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA16-03230S" target="_blank" >GA16-03230S: Thermodynamically consistent models for fluid flows: mathematical theory and numerical solution</a><br>

  • Continuities

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

Others

  • Publication year

    2020

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Nonlinear Analysis, Theory, Methods and Applications

  • ISSN

    0362-546X

  • e-ISSN

  • Volume of the periodical

    194

  • Issue of the periodical within the volume

    May

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    34

  • Pages from-to

    111487

  • UT code for WoS article

    000518367600008

  • EID of the result in the Scopus database

    2-s2.0-85063762503