Refereed journal article or data article (A1)
The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth
List of 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 number: 275
Number of pages: 25
ISSN: 0022-0396
eISSN: 1090-2732
DOI: http://dx.doi.org/10.1016/j.jde.2020.11.007
Self-archived copy’s web address: https://arxiv.org/abs/2006.06276
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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