Semilinear elliptic equations involving fractional Hardy operators
Analysis of PDEs
2023-02-07 v1
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.
Keywords
Cite
@article{arxiv.2302.02099,
title = {Semilinear elliptic equations involving fractional Hardy operators},
author = {Huyuan Chen and Konstantinos T. Gkikas and Phuoc-Tai Nguyen},
journal= {arXiv preprint arXiv:2302.02099},
year = {2023}
}
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43 pages