The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth (2006.06276v2)

Published 11 Jun 2020 in math.AP

Abstract: 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.

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