A note on the boundedness of solutions for fractional relativistic Schrödinger equations
In this paper, we obtain the boundedness of solutions for a class of fractional elliptic equations driven by the relativistic Schrödinger operator [Formula: see text], with [Formula: see text]. The proof relies on a distributional Kato’s inequality for [Formula: see text] and on some properties of t...
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2022-08-01
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| Series: | Bulletin of Mathematical Sciences |
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| Online Access: | https://www.worldscientific.com/doi/10.1142/S1664360721500107 |
| Summary: | In this paper, we obtain the boundedness of solutions for a class of fractional elliptic equations driven by the relativistic Schrödinger operator [Formula: see text], with [Formula: see text]. The proof relies on a distributional Kato’s inequality for [Formula: see text] and on some properties of the Bessel kernel. |
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| ISSN: | 1664-3607 1664-3615 |