Logarithmic upper bound for weak subsolutions to the fractional Laplace equation

Authors

  • Zheng Li Jilin University, School of Mathematics, and Università di Pavia, Dipartimento di Matematica "F. Casorati"

DOI:

https://doi.org/10.54330/afm.179133

Keywords:

Fractional Laplace equations, logarithmic upper bound, Moser iteration, Lebesgue spaces

Abstract

In this note, we present a logarithmic-type upper bound for weak subsolutions to a class of integro-differential problems, whose prototype is the Dirichlet problem for the fractional Laplacian. The bound is slightly smaller than the classical one in this field.

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Published

2026-01-13

Issue

Vol. 51 No. 1 (2026)

Section

Articles

License

Copyright (c) 2026 Annales Fennici Mathematici

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Li, Z. (2026). Logarithmic upper bound for weak subsolutions to the fractional Laplace equation. Annales Fennici Mathematici, 51(1), 17–30. https://doi.org/10.54330/afm.179133