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



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

Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE

: 2021

: Journal of Differential Equations

: JOURNAL OF DIFFERENTIAL EQUATIONS

: J DIFFER EQUATIONS

: 275

: 790

: 814

: 25

: 0022-0396

: 1090-2732

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

: https://research.utu.fi/converis/portal/detail/Publication/52132265


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.

Last updated on 2024-26-11 at 19:12