We survey some recent regularity results for fractionalp-Laplacian ellipticequations, especially focusing on pure and weighted boundary H ̈older continuity of thesolutions of related Dirichlet problems. Then, we present some applications of such resultsto general nonlinear elliptic equations of fractional order, treated via either variational ortopological methods.

A survey on boundary regularity for the fractional p-Laplacian and its applications = Un’indagine sulla regolarità alla frontiera per il p-laplaciano frazionario e le sue applicazioni

Antonio Iannizzotto
2024-01-01

Abstract

We survey some recent regularity results for fractionalp-Laplacian ellipticequations, especially focusing on pure and weighted boundary H ̈older continuity of thesolutions of related Dirichlet problems. Then, we present some applications of such resultsto general nonlinear elliptic equations of fractional order, treated via either variational ortopological methods.
2024
Boundary regularity, Hölder continuity, Fractional p-Laplacian
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/436686
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