Indefinite fractional elliptic problem and Liouville theorems

Wenxiong Chen; Jiuyi Zhu

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arXiv · 1404.1640

Indefinite fractional elliptic problem and Liouville theorems

Wenxiong Chen·Jiuyi Zhu

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Abstract

In this paper, we consider the indefinite fractional elliptic problem. A corresponding Liouville-type theorem for the indefinite fractional elliptic equations is established. Furthermore, we obtain a priori bound for solutions in a bounded domain by blowing-up and re-scaling. We also classify the solutions of some degenerate elliptic equation originated from fractional Laplacian.

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Wenxiong Chen, Jiuyi Zhu. 2014-04-07. Indefinite fractional elliptic problem and Liouville theorems. https://arxiv.org/abs/1404.1640

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