Mathematics - Analysis of PDEs; 35B09, 35B32, 35B33, 35J47
Abstract :
[en] In this paper we consider the non-variational system
-Δuᵢ = ∑ aᵢⱼ uⱼ^{(N+2)/(N-2)} in Rᴺ,
uᵢ > 0 in Rᴺ
uᵢ ∈ D¹²(Rᴺ)
(i=1,...,k)
and we give some sufficient conditions on the matrix (aᵢⱼ) which ensure the existence of solution bifurcating from the bubble of the critical Sobolev equation.
Research center :
CREMMI - Modélisation mathématique et informatique
Disciplines :
Mathematics
Author, co-author :
Troestler, Christophe ; Université de Mons > Faculté des Sciences > Service d'Analyse numérique
Gladiali, Francesca
Grossi, Massimo
Language :
English
Title :
A non-variational system involving the critical Sobolev exponent. The radial case.
Publication date :
25 July 2019
Journal title :
Journal d'Analyse Mathématique
ISSN :
0021-7670
Publisher :
Magnes Press, Israel
Peer reviewed :
Peer reviewed
Research unit :
S835 - Analyse numérique
Research institute :
R150 - Institut de Recherche sur les Systèmes Complexes
