A reverse Holder inequality for the gradient of solutions to Trudinger's equation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10456725" target="_blank" >RIV/00216208:11320/22:10456725 - isvavai.cz</a>

Result on the web

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=OjG8Rpxw2C" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=OjG8Rpxw2C</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00030-022-00750-x" target="_blank" >10.1007/s00030-022-00750-x</a>

Result language

angličtina

Original language name

A reverse Holder inequality for the gradient of solutions to Trudinger's equation

Original language description

We provide a higher integrability result for the gradient of positive solutions to Trudinger&apos;s equation (also known as the doubly nonlinear equation) for the range p is an element of [2, infinity). The estimate is achieved by refining a construction of intrinsic cylinders from the vectorial setting by incorporating estimates that are only available in the scalar case.

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

10101 - Pure mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2022

Confidentiality

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

Name of the periodical

Nonlinear Differential Equations and Applications

ISSN

1021-9722

e-ISSN

1420-9004

Volume of the periodical

29

Issue of the periodical within the volume

3

Country of publishing house

CH - SWITZERLAND

Number of pages

23

Pages from-to

24

UT code for WoS article

000761948700001

EID of the result in the Scopus database

2-s2.0-85125533132