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math.AP2014
The Liouville theorems for elliptic equations with nonstandard growth
Tomasz Adamowicz, Przemysław Górka
We study solutions and supersolutions of homogeneous and nonhomogeneous -harmonic equations with nonstandard growth in . Various Liouville-type theorems…
math.AP2014
The boundary Harnack inequality for variable exponent -Laplacian, Carleson estimates, barrier functions and -harmonic measures
Tomasz Adamowicz, Niklas Lundström
We investigate various boundary decay estimates for -harmonic functions. For domains in satisfying the ball condition (-domains) we show…