Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations [PDF]
In this paper the dependence of the best constants in Sobolev and Gagliardo-Nirenberg inequalities on the precise form of the Sobolev space norm is investigated.
Tokmagambetov, Niyaz +2 more
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Gevrey regularity of subelliptic Monge–Ampère equations in the plane
22 ...
Chen, Hua, Li, Weixi, Xu, Chao-Jiang
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On the Subelliptic Eikonal Equation
Bruno Pini Mathematical Analysis Seminar, Seminars ...
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Subelliptic equations : control, singularities and spectral theory
Dans cette thèse à la frontière entre analyse et géométrie, nous étudions des équations aux dérivées partielles (EDPs) sous-elliptiques en utilisant des outils récents de géométrie sous-Riemannienne et d'analyse microlocale. Nous étudions tout d'abord la
Letrouit, Cyril
core
Regularity at the boundary for solutions of nonlinear subelliptic equations [PDF]
We establish an estimate, in terms of subelliptic \(p\)-capacity, for the modulus of continuity at the boundary of the solution to the Dirichlet problem associated to a class of subelliptic equations. We infer from it the sufficiency part of a Wiener type criterion for the regularity of boundary points.
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Harnack inequality for subelliptic p-Laplacian equations of Schrödinger type [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Yuxing, Jiang, Yinsheng
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Partial regularity for solutions to subelliptic eikonal equations
On a bounded domain Ω in the Euclidean space R n , we study the ...
Paolo Albano +2 more
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Exact observability properties of subelliptic wave and Schrödinger equations
In this survey paper, we report on recent works concerning exact observability (and, by duality, exact controllability) properties of subelliptic wave and Schrödinger-type equations.
Letrouit, Cyril
core
The subelliptic Infinity-Laplace system on Carnot-Caratheodory Spaces [PDF]
Given a Carnot-Carathéodory space Ω ⊆ ℝn with associated frame of vector fields X = {X1,⋯, Xm}, we derive the subelliptic ∞-Laplace system for mappings u: Ω → ℝN, which reads δX∞u:=(Xu ⊗ Xu +Xu2[Xu]⊥ ⊗ I): X Xu = 0 in the limit of the subelliptic p ...
Katzourakis, Nikolaos I. +3 more
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The universal family of punctured Riemann surfaces is Stein
Abstract We show that the universal Teichmüller family V(g,n)$V(g,n)$ of compact Riemann surfaces of genus g⩾0$g\geqslant 0$ with n>0$n>0$ punctures is a Stein manifold. We describe its basic function‐theoretic properties and pose some challenging questions. We show, in particular, that the space of fibrewise algebraic functions on the universal family
Franc Forstnerič
wiley +1 more source

