The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth
Benyaiche Allami; Karppinen Arttu; Harjulehto Petteri; Hästö Peter
The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth
Benyaiche Allami
Karppinen Arttu
Harjulehto Petteri
Hästö Peter
ACADEMIC PRESS INC ELSEVIER SCIENCE
Julkaisun pysyvä osoite on:
https://urn.fi/URN:NBN:fi-fe2021042827037
https://urn.fi/URN:NBN:fi-fe2021042827037
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.
Kokoelmat
- Rinnakkaistallenteet [19207]