Uniqueness of minimal energy solutions for a semilinear problem involving the fractional Laplacian

Uniqueness of minimal energy solutions for a semilinear problem involving the fractional Laplacian

In this paper we study a semilinear problem for the fractional laplacian that is the counterpart of the Neumann problems in the classical setting. We show uniqueness of minimal energy solutions for small domains.

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Veröffentlicht in:Proceedings of the American Mathematical Society 2019-07, Vol.147 (7), p.2925-2936
Hauptverfasser: Fernández Bonder, Julián, Silva, Analía, Spedaletti, Juan
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we study a semilinear problem for the fractional laplacian that is the counterpart of the Neumann problems in the classical setting. We show uniqueness of minimal energy solutions for small domains.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/14530