Boggio’s formula for fractional polyharmonic Dirichlet problems

Serena Dipierro; Hans Christoph Grunau

doi:10.1007/s10231-016-0618-z

Boggio’s formula for fractional polyharmonic Dirichlet problems

Serena Dipierro, Hans Christoph Grunau

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

Boggio’s formula in balls is known for integer-polyharmonic Dirichlet problems and for fractional Dirichlet problems with fractional parameter less than 1. We give here a consistent formulation for fractional polyharmonic Dirichlet problems such that Boggio’s formula in balls yields solutions also for the general fractional case.

Original language	English
Pages (from-to)	1327-1344
Number of pages	18
Journal	Annali di Matematica Pura ed Applicata
Volume	196
Issue number	4
DOIs	https://doi.org/10.1007/s10231-016-0618-z
Publication status	Published - Aug 2017

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title = "Boggio{\textquoteright}s formula for fractional polyharmonic Dirichlet problems",

abstract = "Boggio{\textquoteright}s formula in balls is known for integer-polyharmonic Dirichlet problems and for fractional Dirichlet problems with fractional parameter less than 1. We give here a consistent formulation for fractional polyharmonic Dirichlet problems such that Boggio{\textquoteright}s formula in balls yields solutions also for the general fractional case.",

author = "Serena Dipierro and Grunau, {Hans Christoph}",

year = "2017",

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AB - Boggio’s formula in balls is known for integer-polyharmonic Dirichlet problems and for fractional Dirichlet problems with fractional parameter less than 1. We give here a consistent formulation for fractional polyharmonic Dirichlet problems such that Boggio’s formula in balls yields solutions also for the general fractional case.

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JF - Annali di Matematica Pura ed Applicata

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ER -

Boggio’s formula for fractional polyharmonic Dirichlet problems

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