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arxiv: 1606.03110 · v2 · pith:XNH27OUUnew · submitted 2016-06-09 · 🧮 math.AP

Boggio's formula for fractional polyharmonic Dirichlet problems

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keywords fractionaldirichletproblemsboggioformulaballspolyharmoniccase
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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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