The boundary Harnack inequality for variable exponent $p$-Laplacian, Carleson estimates, barrier functions and $p(\cdot )$-harmonic measures

Tomasz Adamowicz, Niklas Lundström

We investigate various boundary decay estimates for $p(\cdot )$-harmonic functions. For domains in ${\mathbb{R}}^n,n\ge 2$ satisfying the ball condition ($C^{1,1}$-domains) we show…