Anti-symmetry of the second eigenfunction of the fractional Laplace operator in a 3-D ball
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In this work we extend a recent result by Dyda et al. (J Lond Math Soc 95(2):500–518, 2017) to dimension 3.
KeywordsFractional Laplacian Anti-symmetry Unit ball
Mathematics Subject ClassificationPrimary 35P15 35R11
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.
- 2.Bucur, C., Valdinoci, E.: Nonlocal diffusion and applications. Lecture Notes of the Unione Matematica Italiana, vol. 20. Springer (2016)Google Scholar