On the role of gradient terms in coercive quasilinear differential inequalities on Carnot groups
Articolo
Data di Pubblicazione:
2015
Citazione:
On the role of gradient terms in coercive quasilinear differential inequalities on Carnot groups / G. Albanese, L. Mari, M. Rigoli. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 126(2015), pp. 234-261. [10.1016/j.na.2015.06.006]
Abstract:
In the sub-Riemannian setting of Carnot groups, this work investigates a priori estimates and Liouville type theorems for solutions of coercive, quasilinear differential inequalities of the type (Formula presented.). Prototype examples of (Formula presented.) are the (subelliptic) p-Laplacian and the mean curvature operator. The main novelty of the present paper is that we allow a dependence on the gradient l(t) that can vanish both as t→0+ and as t→+∞. Our results improve on the recent literature and, by means of suitable counterexamples, we show that the range of parameters in the main theorems are sharp.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
A priori estimates; Carnot groups; Liouville-type theorems; Weak maximum principle; Analysis; Applied Mathematics
Elenco autori:
G. Albanese, L. Mari, M. Rigoli
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