D. Danielli

发表

An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem

Scott D. Pauls, Jeremy T. Tyson, Luca Capogna, 2007 .

Notions of Convexity in Carnot Groups

Donatella Danielli, Nicola Garofalo, D. Danielli, 2003 .

The regular free boundary in the thin obstacle problem for degenerate parabolic equations

A. Petrosyan, D. Danielli, N. Garofalo, 2019, St. Petersburg Mathematical Journal.

Full regularity of the free boundary in a Bernoulli-type problem in two dimensions

A. Petrosyan, D. Danielli, 2006 .

Obstacle Problems for Nonlocal Operators: A Brief Overview

A. Petrosyan, C. Pop, D. Danielli, 2018, Springer Proceedings in Mathematics & Statistics.

Sub-Riemannian calculus on hypersurfaces in Carnot groups

D. Danielli, N. Garofalo, D. Nhieu, 2006, math/0607559.

Difficult Dialogues in the Midwest: A Retrospective on the Impact of EDGE at Purdue University

D. Danielli, Alejandra Alvarado, Edray Goins, 2019, Association for Women in Mathematics Series.

Sub-Riemannian calculus and monotonicity of the perimeter for graphical strips

D. Danielli, N. Garofalo, D. Nhieu, 2008, 0809.2618.

Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group H1

S. Pauls, D. Danielli, N. Garofalo, 2006, math/0608516.

The structure of the singular set in the thin obstacle problem for degenerate parabolic equations

A. Petrosyan, D. Danielli, N. Garofalo, 2019, Calculus of Variations and Partial Differential Equations.

The geometric Sobolev embedding for vector fields and the isoperimetric inequality

Luca Capogna, Donatella Danielli, Nicola Garofalo, 1994 .

A Notable Family of Entire Intrinsic Minimal Graphs in the Heisenberg Group which are not Perimeter Minimizing

D. Danielli, N. Garofalo, D. Nhieu, 2006, math/0601259.

Properties of entire solutions of non-uniformly elliptic equations arising in geometry and in phase transitions

D. Danielli, N. Garofalo, 2002 .

The bernstein problem for embedded surfaces in the Heisenberg group

S. Pauls, D. Danielli, N. Garofalo, 2010 .

Stable complete embedded minimal surfaces in $\mathbb H^1$ with empty characteristic locus are vertical planes

S. Pauls, D. Danielli, N. Garofalo, 2009, 0903.4296.

Obstacle Problems Involving the Fractional Laplacian

S. Salsa, D. Danielli, 2017 .

Variational inequalities with lack of ellipticity. Part I: Optimal interior regularity and non-degeneracy of the free boundary

S. Salsa, D. Danielli, N. Garofalo, 2003 .

An isoperimetric inequality and the geometric Sobolev embedding for vector fields

Luca Capogna, Donatella Danielli, Nicola Garofalo, 1994 .

New Developments in the Analysis of Nonlocal Operators

A. Petrosyan, C. Pop, D. Danielli, 2019, Contemporary Mathematics.

A Fefferman–Phong Type Inequality and Applications to Quasilinear Subelliptic Equations

D. Danielli, 1999 .

Trace inequalities for Carnot-Carathéodory spaces and applications

D. Danielli, N. Garofalo, D. Nhieu, 1998 .

Space-like strong unique continuation for some fractional parabolic equations

D. Danielli, N. Garofalo, Agnid Banerjee, 2022, Journal of Functional Analysis.

Integrability of the sub-Riemannian mean curvature of surfaces in the Heisenberg group

D. Danielli, N. Garofalo, D. Nhieu, 2012 .

Non-doubling Ahlfors Measures, Perimeter Measures, And the Characterization of the Trace Spaces of Sobolev Functions in Carnot-caratheodory Spaces

D. Danielli, N. Garofalo, D. Nhieu, 2006 .

A minimum problem with free boundary for a degenerate quasilinear operator

Arshak Petrosyan, Donatella Danielli, A. Petrosyan, 2005 .

Calculus of Variations

A. Petrosyan, D. Danielli, 2005 .

A SINGULAR PERTURBATION APPROACH TO A TWO PHASE PARABOLIC FREE BOUNDARY PROBLEM ARISING IN COMBUSTION THEORY

D. Danielli, 2003 .

An embedding theorem and the harnack inequality for nonlinear subelliptic equations

Luca Capogna, Donatella Danielli, Nicola Garofalo, 1993 .

Interior Cauchy-Schauder Estimates for the Heat Flow in Carnot-Carathéodory Spaces

D. Danielli, N. Garofalo, 2008, 0805.3308.

A partial solution of the isoperimetric problem for the Heisenberg group

Donatella Danielli, Nicola Garofalo, D. Danielli, 2006, math/0601412.

Advances in Harmonic Analysis and Partial Differential Equations

I. Mitrea, D. Danielli, 2020, Contemporary Mathematics.

Regularity results for a penalized boundary obstacle problem

Rohit Jain, Donatella Danielli, R. Jain, 2020, Mathematics in Engineering.

Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations

L. Capogna, D. Danielli, N. Garofalo, 1996 .

Hardy–Sobolev Type Inequalities with Sharp Constants in Carnot–Carathéodory Spaces

N. Phuc, D. Danielli, N. Garofalo, 2011 .

The sub-elliptic obstacle problem: C1,a regularity of the free boundary in Carnot groups of step two

A. Petrosyan, D. Danielli, N. Garofalo, 2007 .

Inequalities of Hardy–Sobolev Type in Carnot–Carathéodory Spaces

N. Phuc, D. Danielli, N. Garofalo, 2008, 0804.2833.

Regularity at the Boundary for Solutions of Nonlinear Subelliptic Equations

Donatella Danielli, D. Danielli, 1995 .

Subelliptic mollifiers and a basic pointwise estimate of Poincaré type

Luca Capogna, Donatella Danielli, Nicola Garofalo, 1997 .

Geometric Properties of Solutions to Subelliptic Equations in Nilpotent Lie Groups

Donatella Danielli, Nicola Garofalo, D. Danielli, 1998 .

On the best possible character of the $L^Q$ norm in some a priori estimates for non-divergence form equations in Carnot groups

D. Danielli, N. Garofalo, D. Nhieu, 2003 .

Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem

Arshak Petrosyan, Donatella Danielli, Nicola Garofalo, 2013, 1306.5213.

An Overview of the Obstacle Problem

Donatella Danielli, D. Danielli, 2020 .

Obstacle problems for nonlocal operators

A. Petrosyan, C. Pop, D. Danielli, 2017, New Developments in the Analysis of Nonlocal Operators.

A two phase boundary obstacle-type problem for the bi-Laplacian

Donatella Danielli, Alaa Haj Ali, D. Danielli, 2021, Nonlinear Analysis.

Local Behavior of p-harmonic Green’s Functions in Metric Spaces

D. Danielli, N. Garofalo, N. Marola, 2008, 0807.1323.

A survey on obstacle-type problems for fourth order elliptic operators

D. Danielli, Alaa Haj Ali, 2022, Matemática Contemporânea.

A singular perturbation problem for the p-Laplace operator

A. Petrosyan, H. Shahgholian, D. Danielli, 2003 .