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

Fernández Bonder, Julián; Silva, Analía; Spedaletti, Juan

doi:10.1090/proc/14530

Uniqueness of minimal energy solutions for a semilinear problem involving the fractional Laplacian
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by Julián Fernández Bonder, Analía Silva and Juan Spedaletti

Proc. Amer. Math. Soc. 147 (2019), 2925-2936

DOI: https://doi.org/10.1090/proc/14530

Published electronically: April 9, 2019

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Abstract:

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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