Boundedness of stable solutions to semilinear elliptic equations: A survey
Visualitza/Obre
Cita com:
hdl:2117/105066
Tipus de documentArticle
Data publicació2017-05-01
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
This article is a survey on boundedness results for stable solutions to semilinear elliptic problems. For these solutions, we present the currently known L8 estimates that hold for all nonlinearities. Such estimates are known to hold up to dimension 4. They are expected to be true also in dimensions 5 to 9, but this is still an open problem which has only been established in the radial case.
CitacióCabre, X. Boundedness of stable solutions to semilinear elliptic equations: A survey. "Advanced nonlinear studies", 1 Maig 2017, vol. 17, núm. 2, p. 355-368.
ISSN1536-1365
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
linfty_survey_JOUR.pdf | 781,5Kb | Visualitza/Obre |