Work

Quantitative truncation estimates for fractional Hardy-Sobolev optimizers

Year: 2019

Type: article

Abstract: The general stability problem of truncations for a family of functions concentrating mass at the origin is described and a concrete example in the framework of entire optimizers for the fractional Hardy-Sobolev inequality is given. In this short note we point out some quantitative stability estimates, useful in dealing with critical $p-q$ fractional equations.

Source: Le Matematiche

DOI: 10.48550/arxiv.1907.06892

Authors: Marano, S. A., Mosconi, S.

Institution: University of Catania

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Ministero dell’Istruzione, dell’Università e della Ricerca, Università di Catania

Awards: G2989167992, G7088229254, Nonlinear Differential Problems via Variational, Topological and Set-valued Methods