We determine the sharp asymptotic behavior at infinity of solutions to quasilinear critical problems involving the p-sublaplacian operator Delta(p,G) on a Carnot group G, 1 < p < Q. As a remarkable consequence, we obtain the exact rate of decay of the extremal functions for the subelliptic Sobolev inequality involving the L-p-norm of the horizontal gradient.
Optimal decay of p-Sobolev extremals on Carnot groups
Loiudice Annunziata
2019-01-01
Abstract
We determine the sharp asymptotic behavior at infinity of solutions to quasilinear critical problems involving the p-sublaplacian operator Delta(p,G) on a Carnot group G, 1 < p < Q. As a remarkable consequence, we obtain the exact rate of decay of the extremal functions for the subelliptic Sobolev inequality involving the L-p-norm of the horizontal gradient.File in questo prodotto:
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