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arXiv · 2302.02099

Semilinear elliptic equations involving fractional Hardy operators

Huyuan Chen·Konstantinos T. Gkikas·Phuoc-Tai Nguyen
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Abstract

Our aim in this article is to study semilinear elliptic equations involving a fractional Hardy operator, an absorption and a Radon source in a weighted distributional sense. We show various scenarios, produced by the combined effect of the fractional Hardy potential, the growth of the absorption term and the concentration of the measure, in which existence and uniqueness results holds.

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Huyuan Chen, Konstantinos T. Gkikas, Phuoc-Tai Nguyen. 2023-02-04. Semilinear elliptic equations involving fractional Hardy operators. https://arxiv.org/abs/2302.02099

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