The Liouville theorems for elliptic equations with nonstandard growth

Tomasz Adamowicz; Przemysław Górka

The Liouville theorems for elliptic equations with nonstandard growth

Analysis of PDEs 2014-08-28 v1

Authors: Tomasz Adamowicz , Przemysław Górka

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.

Keywords

Liouville theorems elliptic equations nonstandard growth $\mathcal{A}$-harmonic equations supersolutions nonexistence results

Cite

@article{arxiv.1408.6359,
  title  = {The Liouville theorems for elliptic equations with nonstandard growth},
  author = {Tomasz Adamowicz and Przemysław Górka},
  journal= {arXiv preprint arXiv:1408.6359},
  year   = {2014}
}

Comments

13 pages

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