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

2017/04/26 by Julián Fernández Bonder, Analía Silva, Bonder, Julian Fernandez +3
Computer Science · Mathematics · #35J60 #35R11 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1704.08203

openalex publication_date 2017/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Hitchhikerʼs guide to the fractional Sobolev spaces

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