Geodesic
Optimal regularity for quasilinear equations in stratified nilpotent Lie groups and applications
Capogna, Luca1
1 Department of Mathematics, Purdue University, West Lafayette, IN 47907
Electronic research announcements of the American Mathematical Society, Tome 02 (1996) no. 1, pp. 60-68.

Voir la notice de l'article provenant de la source American Mathematical Society

We announce the optimal $C^{1+\alpha }$ regularity of the gradient of weak solutions to a class of quasilinear degenerate elliptic equations in nilpotent stratified Lie groups of step two. As a consequence we also prove a Liouville type theorem for $1$-quasiconformal mappings between domains of the Heisenberg group $\mathbb {H}^{n}$.
DOI : 10.1090/S1079-6762-96-00009-1

Capogna, Luca 1

1 Department of Mathematics, Purdue University, West Lafayette, IN 47907 
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Capogna, Luca. Optimal regularity for quasilinear equations in stratified nilpotent Lie groups and applications. Electronic research announcements of the American Mathematical Society, Tome 02 (1996) no. 1, pp. 60-68. doi : 10.1090/S1079-6762-96-00009-1. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-96-00009-1/

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