A non-variational system involving the critical Sobolev exponent. The radial case

A non-variational system involving the critical Sobolev exponent. The radial case

In this paper we consider the non-variational system 0.1 { − Δ u i = Σ j = 1 k a i j u j N + 2 N − 2 i n R N , u i > 0 i n R N , u i ∈ D 1 , 2 ( R N ) , and we give some sufficient conditions on thematrix ( a ij ) i, j =1,...,k which ensure the existence of solutions bifurcating from the bubble o...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal d'analyse mathématique (Jerusalem) 2019-07, Vol.138 (2), p.643-671
Hauptverfasser: Gladiali, Francesca, Grossi, Massimo, Troestler, Christophe
Format: Artikel
Sprache:eng
Schlagworte:
Abstract Harmonic Analysis
Analysis
Bifurcations
Dynamical Systems and Ergodic Theory
Functional Analysis
Mathematics
Mathematics and Statistics
Partial Differential Equations
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper we consider the non-variational system 0.1 { − Δ u i = Σ j = 1 k a i j u j N + 2 N − 2 i n R N , u i > 0 i n R N , u i ∈ D 1 , 2 ( R N ) , and we give some sufficient conditions on thematrix ( a ij ) i, j =1,...,k which ensure the existence of solutions bifurcating from the bubble of the critical Sobolev equation.
ISSN:0021-7670
1565-8538
DOI:10.1007/s11854-019-0040-8