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What is Nonlocal Elliptic Equations Survey about?

This document surveys results on nonlocal elliptic equations in bounded domains of the form Lu=f in Ω, u=g in Rn\Ω, where L is an integro-differential operator. The author first discusses existence and qualitative properties of solutions. They then focus on interior and boundary regularity of solutions for kernels K(y) satisfying certain assumptions. Key findings include the interior regularity of solutions depending on the regularity of K(y), and boundary regularity depending on both K(y) and the shape of

Author

Frank Estupiñan

Language

EN