Abstract
We show that given a positive and finite Radon measure $\mu$, there is a $\Apx$ -superharmonic function $u$ which satisfies
$-\dive\A(x,Du)=\mu$
in the sense of distributions. Here $\A$ is an elliptic operator with $p(x)$-type nonstandard growth.
Citation
T. Lukkari. "Elliptic equations with nonstandard growth involving measures." Hiroshima Math. J. 38 (1) 155 - 176, March 2008. https://doi.org/10.32917/hmj/1207580349
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