Phragmén–Lindelöf theorems for equations with nonstandard growth

The Phragmén–Lindelöf theorem on unbounded domains is studied for subsolutions of variable exponent p(⋅)p(⋅)-Laplace equations of homogeneous and nonhomogeneous types. The discussion is illustrated by a number of examples of unbounded domains such as half space, angular domains and domains narrowing at infinity. Our approach gives some new results also in the setting of the pp-Laplacian and the harmonic operator.