Results 21 to 30 of about 247 (40)

Yamabe-type equations on Carnot groups

, 2016
This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity.
Bisci, Giovanni Molica, Repovš, Dušan D.   +1 more
core   +1 more source

Wiener criterion for X-elliptic operators [PDF]

, 2014
In this note we prove a Wiener criterion of regularity of boundary points for the Dirichlet problem related to $X$-elliptic operators in divergence form enjoying the doubling condition and the Poincar\'e inequality.
Tralli, Giulio, Uguzzoni, Francesco
core   +3 more sources

Analytic and Gevrey Hypoellipticity for Perturbed Sums of Squares Operators

, 2017
We prove a couple of results concerning pseudodifferential perturbations of differential operators being sums of squares of vector fields and satisfying H\"ormander's condition.
A Gilioli, A Grigis, Antonio Bove, EM Stein, FA Berezin, G Chinni, G Métivier, Gregorio Chinni, J Sjöstrand, L Hörmander, L Hörmander, L Hörmander, L Preiss Rothschild, M Derridj, M Derridj, M Mughetti, N Braun Rodrigues, P Albano, P Albano, P Bolley   +19 more
core   +1 more source

Starshapedeness for fully-nonlinear equations in Carnot groups [PDF]

, 2018
In this paper we establish the starshapedness of the level sets of the capacitary potential of a large class of fully-nonlinear equations for condensers in Carnot groups, once a natural notion of starshapedness has been introduced.
Dragoni, Federica, Garofalo, Nicola, Salani, Paolo   +2 more
core   +4 more sources

Weighted ${L^p}$-Liouville Theorems for Hypoelliptic Partial Differential Operators on Lie Groups

, 2015
We prove weighted $L^p$-Liouville theorems for a class of second order hypoelliptic partial differential operators $\mathcal{L}$ on Lie groups $\mathbb{G}$ whose underlying manifold is $n$-dimensional space.
Bonfiglioli, Andrea, Kogoj, Alessia E.
core   +1 more source

Hardy Type Inequalities for $\Delta_\lambda$-Laplacians

, 2015
We derive Hardy type inequalities for a large class of sub-elliptic operators that belong to the class of $\Delta_\lambda$-Laplacians and find explicit values for the constants involved.
Kogoj, A. E., Sonner, S.
core   +3 more sources

On an evolution equation in sub-Finsler geometry

Analysis and Geometry in Metric Spaces
We study the gradient flow of an energy with mixed homogeneity, which is at the interface of Finsler and sub-Riemannian geometry.
Garofalo Nicola
doaj   +1 more source

Entanglement entropy and complexity of singular subregions in deformed CFT

, 2019
In the framework of the AdS/CFT correspondence, imposing a scalar field in the bulk space-time leads to deform the corresponding CFT in the boundary, which may produce corrections to entanglement entropy, as well as the so-called subregion complexity. We
Bakhshaei, Elaheh, Shirzad, Ahmad
core   +1 more source

Smoothing effect of weak solutions for the spatially homogeneous Boltzmann Equation without angular cutoff

, 2011
In this paper, we consider the spatially homogeneous Boltzmann equation without angular cutoff. We prove that every $L^1$ weak solution to the Cauchy problem with finite moments of all order acquires the $C^\infty$ regularity in the velocity variable for
Alexandre, Radjesvarane, Morimoto, Yoshinori, Ukai, Seiji, Xu, Chao-Jiang, Yang, Tong   +4 more
core   +3 more sources

General purpose airborne simulator - Conceptual design report [PDF]

General purpose airborne simulator with capabilities for model controlled and response feedback types of variable stability ...
Clark, D. C., Kroll, J.
core   +1 more source