Logarithmic upper bound for weak subsolutions to the fractional Laplace equation

Författare

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

DOI:

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

Nyckelord:

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.

Nedladdningar

Publicerad

2026-01-13

Nummer

Vol 51 Nr 1 (2026)

Sektion

Articles

Licens

Copyright (c) 2026 Annales Fennici Mathematici

Creative Commons-licens

Detta verk är licensierat under en Creative Commons Erkännande-IckeKommersiell 4.0 Internationell-licens.

Referera så här

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