Luca Capogna

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Person:206293

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zbMath Open capogna.lucaMaRDI QIDQ206293

List of research outcomes

PublicationDate of PublicationType
Lipschitz regularity for solutions of the parabolic p-Laplacian in the Heisenberg group2023-09-01Paper
The asymptotic $p$-Poisson equation as $p \to \infty$ in Carnot-Carath\'eodory spaces2023-02-07Paper
Regularity theory of quasilinear elliptic and parabolic equations in the Heisenberg group2022-12-20Paper
Regularity for a class of quasilinear degenerate parabolic equations in the Heisenberg group2022-08-25Paper
System identification through Lipschitz regularized deep neural networks2022-04-28Paper
Neumann problems for $p$-harmonic functions, and induced nonlocal operators in metric measure spaces2022-04-01Paper
Analysis in Metric Spaces2021-02-11Paper
Conformal equivalence of visual metrics in pseudoconvex domains2021-02-08Paper
System Identification Through Lipschitz Regularized Deep Neural Networks2020-09-07Paper
Conformality and \(Q\)-harmonicity in sub-Riemannian manifolds2019-01-14Paper
Strong comparison principle for 𝑝-harmonic functions in Carnot-Caratheodory spaces2018-08-02Paper
Smoothness of subRiemannian isometries2017-04-21Paper
Regularity for subelliptic PDE through uniform estimates in multi-scale geometries2016-06-29Paper
Regularity of mean curvature flow of graphs on Lie groups free up to step 22015-08-31Paper
Harnack estimates for degenerate parabolic equations modeled on the subelliptic \(p\)-Laplacian2014-04-15Paper
L ∞-Extremal Mappings in AMLE and Teichmüller Theory2014-01-31Paper
A subelliptic analogue of Aronson-Serrin's Harnack inequality2013-11-12Paper
Uniform Gaussian bounds for subelliptic heat kernels and an application to the total variation flow of graphs over Carnot groups2013-10-02Paper
Sub-Riemannian heat kernels and mean curvature flow of graphs2013-04-30Paper
An Aronsson type approach to extremal quasiconformal mappings2012-07-04Paper
Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups , n > 12011-03-11Paper
Convexity and horizontal second fundamental forms for hypersurfaces in Carnot groups2010-08-16Paper
Regularity of non-characteristic minimal graphs in the Heisenberg group $\mathbb{H}^{1}$2010-01-04Paper
Generalized Mean Curvature Flow in Carnot Groups2009-11-10Paper
Mutual Absolute Continuity of Harmonic and Surface Measures for Hormander Type Operators2009-01-28Paper
The mixed problem in \(L^{p}\) for some two-dimensional Lipschitz domains2008-08-18Paper
A note on ill-posedness of the Cauchy problem for Heisenberg wave maps2008-03-10Paper
https://portal.mardi4nfdi.de/entity/Q54472672008-03-06Paper
https://portal.mardi4nfdi.de/entity/Q54472682008-03-06Paper
A note on the engulfing property and the $\Gamma ^{1+ \alpha }$-regularity of convex functions in Carnot groups2007-02-01Paper
Conformality and \(Q\)-harmonicity in Carnot groups2007-01-23Paper
An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem2007-01-09Paper
Ahlfors type estimates for perimeter measures in Carnot-Carathéodory spaces2006-10-31Paper
https://portal.mardi4nfdi.de/entity/Q30239622005-07-08Paper
The Aronsson-Euler equation for absolutely minimizing Lipschitz extensions with respect to Carnot-Carathéodory metrics2004-10-28Paper
Pointwise Schauder estimates for second order linear equations in Carnot groups2004-05-18Paper
Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type2003-08-20Paper
Properties of harmonic measures in the Dirichlet problem for nilpotent Lie groups of Heisenberg type2002-11-25Paper
Legendrian energy minimizers. I: Heisenberg group target2002-11-07Paper
https://portal.mardi4nfdi.de/entity/Q43285712002-04-28Paper
A version of a theorem of Dahlberg for the subelliptic Dirichlet problem2000-04-25Paper
Regularity for quasilinear equations and 1-quasiconformal maps in Carnot groups1999-09-14Paper
Boundary behavior of nonnegative solutions of subelliptic equations in NTA domains for Carnot-Carathéodory metrics1999-05-31Paper
Subelliptic mollifiers and a basic pointwise estimate of Poincaré type1997-12-18Paper
Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations1997-12-18Paper
Regularity of quasi-linear equations in the Heisenberg group1997-10-20Paper
https://portal.mardi4nfdi.de/entity/Q48707721997-10-15Paper
The geometric Sobolev embedding for vector fields and the isoperimetric inequality1997-06-26Paper
https://portal.mardi4nfdi.de/entity/Q43408841997-06-15Paper
An isoperimetric inequality and the geometric Sobolev embedding for vector fields1996-01-02Paper
Uniform domains and quasiconformal mappings on the Heisenberg group1995-11-13Paper
https://portal.mardi4nfdi.de/entity/Q43229081995-02-13Paper
An embedding theorem and the harnack inequality for nonlinear subelliptic equations1994-12-11Paper
https://portal.mardi4nfdi.de/entity/Q52882821993-08-19Paper

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