Gradient L^q theory for a class of non-diagonal nonlinear elliptic systems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00488525" target="_blank" >RIV/67985840:_____/18:00488525 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/18:10384149

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.na.2018.02.004" target="_blank" >http://dx.doi.org/10.1016/j.na.2018.02.004</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.na.2018.02.004" target="_blank" >10.1016/j.na.2018.02.004</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Gradient L^q theory for a class of non-diagonal nonlinear elliptic systems

Popis výsledku v původním jazyce

We consider a class of nonlinear non-diagonal elliptic systems with p-growth and establish the Lq-integrability for all ... of any weak solution provided the corresponding right hand side belongs to the corresponding Lebesgue space and the involved elliptic operator asymptotically satisfies the p-uniform ellipticity, the so-called splitting condition and it is continuous with respect to the spatial variable. For operators satisfying the uniform p-ellipticity condition the higher integrability is known for ... and for operators having the so-called Uhlenbeck structure, the theory is valid for all ... The key novelty of the paper is twofold. First, the statement uses only the information coming from the asymptotic operator and second, and more importantly, by using the splitting condition, we are able to extend the range of possible q's significantly whenever.

Název v anglickém jazyce

Gradient L^q theory for a class of non-diagonal nonlinear elliptic systems

Popis výsledku anglicky

We consider a class of nonlinear non-diagonal elliptic systems with p-growth and establish the Lq-integrability for all ... of any weak solution provided the corresponding right hand side belongs to the corresponding Lebesgue space and the involved elliptic operator asymptotically satisfies the p-uniform ellipticity, the so-called splitting condition and it is continuous with respect to the spatial variable. For operators satisfying the uniform p-ellipticity condition the higher integrability is known for ... and for operators having the so-called Uhlenbeck structure, the theory is valid for all ... The key novelty of the paper is twofold. First, the statement uses only the information coming from the asymptotic operator and second, and more importantly, by using the splitting condition, we are able to extend the range of possible q's significantly whenever.

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

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Nonlinear Analysis: Theory, Methods & Applications

ISSN

0362-546X

e-ISSN

—

Svazek periodika

171

Číslo periodika v rámci svazku

June

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

14

Strana od-do

156-169

Kód UT WoS článku

000428449000009

EID výsledku v databázi Scopus

2-s2.0-85042731382