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.

Detalhes bibliográficos
Autores: Bonder, Julián Fernández, Silva, Analia, Spedaletti, Juan Francisco
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/114547
Acesso em linha:http://hdl.handle.net/11336/114547
Access Level:acceso abierto
Palavra-chave:FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
UNIQUENESS RESULTS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descrição
Resumo: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.