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



Julkaisun tekijät: Benyaiche Allami, Harjulehto Petteri, Hästö Peter, Karppinen Arttu

Kustantaja: ACADEMIC PRESS INC ELSEVIER SCIENCE

Julkaisuvuosi: 2021

Journal: Journal of Differential Equations

Tietokannassa oleva lehden nimi: JOURNAL OF DIFFERENTIAL EQUATIONS

Lehden akronyymi: J DIFFER EQUATIONS

Volyymi: 275

Sivujen määrä: 25

ISSN: 0022-0396

eISSN: 1090-2732

DOI: http://dx.doi.org/10.1016/j.jde.2020.11.007

Rinnakkaistallenteen osoite: https://arxiv.org/abs/2006.06276


Tiivistelmä
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.

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Last updated on 2021-24-06 at 11:55