Results 61 to 70 of about 304 (131)
Observability of Baouendi-Grushin-Type Equations Through Resolvent Estimates
, 2023 International audienceIn this article, we study the observability (or, equivalently, the controllability) of some subelliptic evolution equations depending on their step.
Sun, Chenmin, Letrouit, Cyril
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Nonlinear elliptic equations on Carnot groups
, 2017 This article concerns a class of elliptic equations on Carnot groups depending on one real positive parameter and involving a subcritical nonlinearity.
Ferrara M, Repovs R, Molica Bisci G
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Convex functions in Carnot Groups
, 2004 We consider the definition and regularity properties of convex functions in Carnot groups. We show that various notions of convexity in the subelliptic setting that have appeared in the literature are equivalent. Our point of view is based on thinking of
STROFFOLINI, BIANCA
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Sobolev inequalities with remaider terms for Sublaplacians and other subelliptic operators
, 2006 We prove that on bounded domains Ω, the usual Sobolev inequality for sublaplacians on Carnot groups can be improved by adding a remainder term, in striking analogy with the euclidean case.
LOIUDICE, ANNUNZIATA
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Boundary regularity for subelliptic equations in the Heisenberg group
35 pages, comments ...
Abedin, Farhan, Tralli, Giulio
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Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures
, 2013 Let be a system of C∞ vector fields in Rn satisfying Hörmander’s finite rank condition and let Ω be a non-tangentially accessible domain with respect to the Carnot–Carathéodory distance d induced by X.
Avelin, Benny, +3 more
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Nonlinear subelliptic Schrödinger equations with external magnetic field
Electronic Journal of Differential Equations, 2004 Summary: To account for an external magnetic field in a Hamiltonian of a quantum system on a manifold (modelled here by a subelliptic Dirichlet form), one replaces the the momentum operator \(\frac 1i d\) in the subelliptic symbol by \(\frac 1i d-\alpha\), where \(\alpha\in TM^*\) is called a magnetic potential for the magnetic field \(\beta=d\alpha\).
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Subelliptic Hamilton-Jacobi equations: the coercive stationary case
Rendiconti Lincei, Matematica e Applicazioni, 2010 We prove the existence uniqueness and comparison results for a (Lipschitz) viscosity solution for an Hamilton−Jacobi equation on a Carnot group.
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Nonexistence for Semilinear Equations and Systems in the Heisenberg Group
, 1999 In this paper several nonexistence theorems for nonnegative solutions of semilinear subelliptic Laplace equations and systems in the Heisenberg group are established and some interesting integral identities are ...
Pengcheng, Niu
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Comparison Principles for subelliptic equations of Monge-Ampere type
, 2008 We present two comparison principles for viscosity sub- and supersolutions of Monge-Ampere-type equations associated to a family of vector fields. In particular, we obtain the uniqueness of a viscosity solution to the Dirichlet problem for the equation of prescribed horizontal Gauss curvature in a Carnot group.
BARDI, MARTINO, MANNUCCI, PAOLA
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