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arxiv: 1408.6359 · v1 · pith:H36GQRERnew · submitted 2014-08-27 · 🧮 math.AP

The Liouville theorems for elliptic equations with nonstandard growth

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keywords equationsgrowthnonstandardtheoremsdiscussionellipticexamplesharmonic
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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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