arXiv:2411.03159 Abstract | arXiv Analytics

arXiv:2411.03159 [math.AP]Abstract References Reviews Resources

A survey on boundary regularity for the fractional p-Laplacian and its applications

Published 2024-11-05Version 1

We survey some recent regularity results for fractional p-Laplacian elliptic equations, especially focusing on pure and weighted boundary H\"older continuity of the solutions of related Dirichlet problems. Then, we present some applications of such results to general nonlinear elliptic equations of fractional order, treated via either variational or topological methods.

Comments: 12 pages

Categories: math.AP

Subjects: 35R11, 35B65

Keywords: boundary regularity, applications, fractional p-laplacian elliptic equations, general nonlinear elliptic equations, related dirichlet problems

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