Local Density of Solutions to Fractional Equations
Alessandro Carbotti, Serena Dipierro, and Enrico Valdinoci
TL;DR
This paper investigates the local density of solutions to fractional equations, providing new insights into their behavior and properties in nonlocal operator contexts.
Contribution
It introduces novel methods to analyze the local density of solutions for fractional equations, advancing understanding beyond existing approaches.
Findings
Established new bounds for solution density
Demonstrated applicability to various fractional operators
Provided theoretical framework for future research
Abstract
The study of nonlocal operators of fractional type possesses a long tradition, motivated both by mathematical curiosity and by real world applications...
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Nonlinear Differential Equations Analysis · Fractional Differential Equations Solutions