Critical boundary value problems in the upper half-space

We consider the critical problem −Δu−12x⋅∇u=0 in R+N,∂u∂ν=λ|u|p−2u+|u|2∗−2u on ∂R+N,where R+N=(x′,xN):x′∈RN−1,xN>0 is the upper half-space, N≥4, ν is the outward normal vector at the boundary and 2≤p0.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Nonlinear analysis 2021-11, Vol.212, p.112441, Article 112441
Hauptverfasser:	Furtado, Marcelo F., da Silva, João Pablo P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Critical problems Half-space Nonlinear boundary conditions Self-similar solutions Weighted trace embedding
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We consider the critical problem −Δu−12x⋅∇u=0 in R+N,∂u∂ν=λ\|u\|p−2u+\|u\|2∗−2u on ∂R+N,where R+N=(x′,xN):x′∈RN−1,xN>0 is the upper half-space, N≥4, ν is the outward normal vector at the boundary and 2≤p0.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2021.112441