%0 Journal Article %T Unbounded Supersolutions of Nonlinear Equations with Nonstandard Growth %A Petteri Harjulehto %A Juha Kinnunen %A Teemu Lukkari %J Boundary Value Problems %D 2006 %I Springer %R 10.1155/2007/48348 %X We show that every weak supersolution of a variable exponent p-Laplace equation is lower semicontinuous and that the singular set of such a function is of zero capacity if the exponent is logarithmically H lder continuous. As a technical tool we derive Harnack-type estimates for possibly unbounded supersolutions. %U http://dx.doi.org/10.1155/2007/48348