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Anti-symmetry of the second eigenfunction of the fractional Laplace operator in a 3-D ball

  • Rui A. C. FerreiraEmail author
Article
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Abstract

In this work we extend a recent result by Dyda et al. (J Lond Math Soc 95(2):500–518, 2017) to dimension 3.

Keywords

Fractional Laplacian Anti-symmetry Unit ball 

Mathematics Subject Classification

Primary 35P15 35R11 

Notes

Acknowledgements

The author would like to thank Professor Pedro Antunes for fruitful discussions on the problem. The author is also grateful for the kind email-reply of Professors Dyda, Kuznetsov and Kwaśnicki.

References

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    Dyda, B., Kuznetsov, A., Kwaśnicki, M.: Eigenvalues of the fractional Laplace equation in the unit ball. J. Lond. Math. Soc. 95(2), 500–518 (2017)MathSciNetCrossRefGoogle Scholar
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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Grupo Física-Matemática, Faculdade de CiênciasUniversidade de LisboaLisboaPortugal

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