Artículo

Optimal rearrangement problem and normalized obstacle problem in the fractional setting

Fernandez Bonder, JulianIcon ; Cheng, Zhiwei; Mikayelyan, Hayk
Fecha de publicación: 01/2020
Editorial: De Gruyter
Revista: Advances in Nonlinear Analysis
ISSN: 2191-9496
e-ISSN: 2191-950X
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We consider an optimal rearrangement minimization problem involving the fractional Laplace operator (-Δ)s, 0 < s < 1, and the Gagliardo seminorm jujs. We prove the existence of the unique minimizer, analyze its properties as well as derive the non-local and highly non-linear PDE it satises -(-Δ)sU - x-(-Δ)sU+; 1 =U>0g, which happens to be the fractional analogue of the normalized obstacle problem Δu = xu>0.
Palabras clave: FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS , OBSTACLE PROBLEM , OPTIMIZATION PROBLEMS
 
Archivos asociados
Thumbnail
 
Tamaño: 466.6Kb
Formato: PDF
.
Licencia
info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution 2.5 Unported (CC BY 2.5)
Identificadores
URI: http://hdl.handle.net/11336/143893
DOI: http://dx.doi.org/10.1515/anona-2020-0067
URL: https://www.degruyter.com/document/doi/10.1515/anona-2020-0067/html
Colecciones
Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Fernandez Bonder, Julian; Cheng, Zhiwei; Mikayelyan, Hayk; Optimal rearrangement problem and normalized obstacle problem in the fractional setting; De Gruyter; Advances in Nonlinear Analysis; 9; 1; 1-2020; 1592-1606
Compartir
Altmétricas