A1 Refereed original research article in a scientific journal

The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth



Authors: Benyaiche Allami, Harjulehto Petteri, Hästö Peter, Karppinen Arttu

Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE

Publication year: 2021

Journal: Journal of Differential Equations

Journal name in source: JOURNAL OF DIFFERENTIAL EQUATIONS

Journal acronym: J DIFFER EQUATIONS

Volume: 275

First page : 790

Last page: 814

Number of pages: 25

ISSN: 0022-0396

eISSN: 1090-2732

DOI: https://doi.org/10.1016/j.jde.2020.11.007

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/52132265


Abstract
We study unbounded weak supersolutions of elliptic partial differential equations with generalized Orlicz (Musielak-Orlicz) growth. We show that they satisfy the weak Harnack inequality with optimal exponent provided that they belong to a suitable Lebesgue or Sobolev space. Furthermore, we establish the sharpness of our central assumptions. (C) 2020 Elsevier Inc. All rights reserved.


Keywords:
double phase, Harnack's inequality, Musielak-Orlicz spaces, Nonstandard growth, Supersolution, Variable exponent

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Last updated on 26/11/2024 07:12:29 PM