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

Toimittaja(t)

ACADEMIC PRESS INC ELSEVIER SCIENCE
Final draft
2006.06276.pdf - 303.89 KB
Lataukset161

Pysyvä osoite

https://urn.fi/URN:NBN:fi-fe2021042827037

Verkkojulkaisu

DOI

10.1016/j.jde.2020.11.007

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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