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arXiv · 1408.6359

The Liouville theorems for elliptic equations with nonstandard growth

Tomasz Adamowicz·Przemysław Górka
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Abstract

We study solutions and supersolutions of homogeneous and nonhomogeneous $\mathcal{A}$-harmonic equations with nonstandard growth in $\mathbb{R}^n$. Various Liouville-type theorems and nonexistence results are proved. The discussion is illustrated by a number of examples.

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Tomasz Adamowicz, Przemysław Górka. 2014-08-27. The Liouville theorems for elliptic equations with nonstandard growth. https://arxiv.org/abs/1408.6359

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