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.
Boggio's formula for fractional polyharmonic Dirichlet problems / S. Dipierro, H.C. Grunau. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 196:4(2017 Aug), pp. 1327-1344. [10.1007/s10231-016-0618-z]
Boggio's formula for fractional polyharmonic Dirichlet problems
S. DipierroPrimo
;
2017
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.
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