Partial Differential Equations
Some non-existence results for critical equations on step-two stratified groups
[Quelques résultats de non-existence pour des équations critiques sur les groupes stratifiés de pas deux]

Présenté par : Jean-Pierre Aubin

Bonfiglioli, Andrea1 ; Uguzzoni, Francesco1
1 Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta S. Donato, 5, 40126 Bologna, Italy
Comptes Rendus. Mathématique, Tome 336 (2003) no. 10, pp. 817-822.
est référencé par Editorial note to: “Some non-existence results for critical equations on step-two stratified groups” [C. R. Acad. Sci. Paris, Ser. I 336 (2003) 817–822]

Nous discutons un résultat de non-existence pour un problème de Dirichlet sous-elliptique semi-linéaire à croissance critique sur les demi-espaces de groupes stratifiés de pas deux. Notre résultat améliore un théorème récent en (N. Garofalo, D. Vassilev, Math. Ann. 318 (3) (2000) 453–516).

We discuss a non-existence result for a semilinear sub-elliptic Dirichlet problem with critical growth on half-spaces of stratified groups of step two. Our result improves a recent theorem (N. Garofalo, D. Vassilev, Math. Ann. 318 (3) (2000) 453–516).

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DOI : 10.1016/S1631-073X(03)00193-6
Bonfiglioli, Andrea 1 ; Uguzzoni, Francesco 1

1 Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta S. Donato, 5, 40126 Bologna, Italy 
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Bonfiglioli, Andrea; Uguzzoni, Francesco. Some non-existence results for critical equations on step-two stratified groups. Comptes Rendus. Mathématique, Tome 336 (2003) no. 10, pp. 817-822. doi : 10.1016/S1631-073X(03)00193-6. http://www.numdam.org/articles/10.1016/S1631-073X(03)00193-6/

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