Local higher integrability of the gradient of a quasiminimizer under generalized Orlicz growth conditions
Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu (2018-12-31)
Harjulehto, Petteri
Hästö, Peter
Karppinen, Arttu
Elsevier
31.12.2018
Petteri Harjulehto, Peter Hästö, Arttu Karppinen, Local higher integrability of the gradient of a quasiminimizer under generalized Orlicz growth conditions, Nonlinear Analysis, Volume 177, Part B, 2018, Pages 543-552, ISSN 0362-546X, https://doi.org/10.1016/j.na.2017.09.010
https://creativecommons.org/licenses/by-nc-nd/4.0/
© 2017 Elsevier Ltd. All rights reserved. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/.
https://creativecommons.org/licenses/by-nc-nd/4.0/
© 2017 Elsevier Ltd. All rights reserved. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/.
https://creativecommons.org/licenses/by-nc-nd/4.0/
Julkaisun pysyvä osoite on
https://urn.fi/URN:NBN:fi-fe2019052316724
https://urn.fi/URN:NBN:fi-fe2019052316724
Tiivistelmä
Abstract
We study local quasiminimizers of the Dirichlet energy under generalized growth conditions. Special cases include standard, variable exponent and double phase growths. We show that the gradient of a local quasiminimizer has local higher integrability.
Kokoelmat
- Avoin saatavuus [31941]