41 citations · 42 across the 8 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.AP2020
Hölder continuity of the minimizer of an obstacle problem with generalized Orlicz growth
Arttu Karppinen, Mikyoung Lee
We prove local - and -regularity for the local solution to an obstacle problem with non-standard growth. These results cover as special cases standard, variable e…
math.AP2020★ 41 cited
The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth
Allami Benyaiche, Petteri Harjulehto, Peter Hästö +1
We study unbounded weak supersolutions of elliptic partial differential equations with generalized Orlicz (Musielak--Orlicz) growth. We show that they satisfy the weak Harnack ineq…
math.AP2020
Removable sets in elliptic equations with Musielak-Orlicz growth
Iwona Chlebicka, Arttu Karppinen
We characterize, in the terms of intrinsic Hausdorff measures, the size of~removable sets for Hölder continuous solutions to elliptic equations with Musielak-Orlicz growth. In the…