Annali di Matematica Pura ed Applicata (1923 -)

, Volume 196, Issue 4, pp 1327–1344 | Cite as

Boggio’s formula for fractional polyharmonic Dirichlet problems

Article
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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.

Mathematics Subject Classification

35J40 
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Notes

Acknowledgments

This work has been supported by a Postdoc fellowship of the Alexander von Humboldt Foundation for Serena Dipierro.

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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsUniversity of MelbourneParkvilleAustralia
  2. 2.School of Mathematics and StatisticsUniversity of Western AustraliaPerthAustralia
  3. 3.Fakultät für MathematikOtto–von–Guericke–UniversitätMagdeburgGermany

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