On Morrey and BMO Regularity for Gradients of Minima of Certain Non-Differentiable Functionals

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F19%3A10242288" target="_blank" >RIV/61989100:27240/19:10242288 - isvavai.cz</a>

Result on the web

<a href="https://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=38&iss=3&rank=4" target="_blank" >https://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=38&iss=3&rank=4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4171/ZAA/1640" target="_blank" >10.4171/ZAA/1640</a>

Result language

angličtina

Original language name

On Morrey and BMO Regularity for Gradients of Minima of Certain Non-Differentiable Functionals

Original language description

We consider minima of variational integrals with non-differentiable integrands in the form f (x, u, Du) = &lt; A(x)Du, Du &gt; + g(x, u, Du). Assuming that the part g(x, u, z) is equipped by sub-quadratic growth in z only for big value of vertical bar z vertical bar (but the growth is arbitrarily close to the quadratic one), we prove the everywhere Morrey and BMO regularity for gradients of minima.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10100 - Mathematics

Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2019

Confidentiality

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

Name of the periodical

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

ISSN

0232-2064

e-ISSN

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Volume of the periodical

38

Issue of the periodical within the volume

3

Country of publishing house

CH - SWITZERLAND

Number of pages

21

Pages from-to

329-349

UT code for WoS article

000475497300004

EID of the result in the Scopus database

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