On isolated singularities of fractional semi-linear elliptic equations
نویسندگان
چکیده
Abstract In this paper, we study the local behavior of nonnegative solutions fractional semi-linear equations ( − Δ ) σ u = p with an isolated singularity, where ∈ 0 , 1 and n 2 + . We first use blow up method a Liouville type theorem to derive upper bound. Then establish monotonicity formula sufficient condition for removable singularity give classification singularities. When result has been proved by Caffarelli, Gidas Spruck (Comm. Pure Appl. Math. 1981, 1989).
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2021
ISSN: ['0294-1449', '1873-1430']
DOI: https://doi.org/10.1016/j.anihpc.2020.07.003