Donatella Danielli

Donatella Danielli's AcademicInfluence.com Rankings

Donatella Danielli

Mathematics

#6225

World Rank

#8661

Historical Rank

Measure Theory

#3253

World Rank

#3846

Historical Rank

mathematics Degrees

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Mathematics

Why Is Donatella Danielli Influential?

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According to Wikipedia, Donatella Danielli is a professor of mathematics at Arizona State University and is known for her contributions to partial differential equations, calculus of variations and geometric measure theory, with specific emphasis on free boundary problems.

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Donatella Danielli's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem (2007) (520)
An embedding theorem and the harnack inequality for nonlinear subelliptic equations (1993) (205)
The geometric Sobolev embedding for vector fields and the isoperimetric inequality (1994) (179)
Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations (1996) (130)
Notions of Convexity in Carnot Groups (2003) (128)
Sub-Riemannian calculus on hypersurfaces in Carnot groups (2006) (115)
Trace inequalities for Carnot-Carathéodory spaces and applications (1998) (93)
Non-doubling Ahlfors Measures, Perimeter Measures, And the Characterization of the Trace Spaces of Sobolev Functions in Carnot-caratheodory Spaces (2006) (89)
A minimum problem with free boundary for a degenerate quasilinear operator (2005) (84)
Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group H1 (2006) (68)
Regularity at the Boundary for Solutions of Nonlinear Subelliptic Equations (1995) (56)
A Notable Family of Entire Intrinsic Minimal Graphs in the Heisenberg Group which are not Perimeter Minimizing (2006) (48)
Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem (2013) (45)
Subelliptic mollifiers and a basic pointwise estimate of Poincaré type (1997) (43)
A partial solution of the isoperimetric problem for the Heisenberg group (2006) (43)
An isoperimetric inequality and the geometric Sobolev embedding for vector fields (1994) (42)
A Fefferman–Phong Type Inequality and Applications to Quasilinear Subelliptic Equations (1999) (38)
New Developments in the Analysis of Nonlocal Operators (2019) (36)
The Theorem of Busemann-Feller-Alexandrov in Carnot Groups (2004) (34)
Hardy–Sobolev Type Inequalities with Sharp Constants in Carnot–Carathéodory Spaces (2011) (33)
A singular perturbation problem for the p-Laplace operator (2003) (30)
The bernstein problem for embedded surfaces in the Heisenberg group (2010) (27)
Variational inequalities with lack of ellipticity. Part I: Optimal interior regularity and non-degeneracy of the free boundary (2003) (26)
The sub-elliptic obstacle problem: C1,a regularity of the free boundary in Carnot groups of step two (2007) (25)
Geometric Properties of Solutions to Subelliptic Equations in Nilpotent Lie Groups (1998) (24)
Inequalities of Hardy–Sobolev Type in Carnot–Carathéodory Spaces (2008) (23)
Properties of entire solutions of non-uniformly elliptic equations arising in geometry and in phase transitions (2002) (21)
Local Behavior of p-harmonic Green’s Functions in Metric Spaces (2008) (20)
The structure of the singular set in the thin obstacle problem for degenerate parabolic equations (2019) (19)
On the best possible character of the $L^Q$ norm in some a priori estimates for non-divergence form equations in Carnot groups (2003) (18)
Obstacle Problems Involving the Fractional Laplacian (2017) (17)
Integrability of the sub-Riemannian mean curvature of surfaces in the Heisenberg group (2012) (16)
Full regularity of the free boundary in a Bernoulli-type problem in two dimensions (2006) (14)
The regular free boundary in the thin obstacle problem for degenerate parabolic equations (2019) (12)
Interior Cauchy-Schauder Estimates for the Heat Flow in Carnot-Carathéodory Spaces (2008) (11)
Advances in Harmonic Analysis and Partial Differential Equations (2020) (9)
Embedding theorems and the Harnack inequality for solutions of nonlinear subelliptic equations (1993) (8)
SOBOLEV SPACES IN MATHEMATICS I (2019) (6)
Obstacle problems for nonlocal operators (2017) (6)
Stable complete embedded minimal surfaces in $\mathbb H^1$ with empty characteristic locus are vertical planes (2009) (6)
Sub-Riemannian calculus and monotonicity of the perimeter for graphical strips (2008) (5)
A SINGULAR PERTURBATION APPROACH TO A TWO PHASE PARABOLIC FREE BOUNDARY PROBLEM ARISING IN COMBUSTION THEORY (2003) (5)
Space-like strong unique continuation for some fractional parabolic equations (2022) (4)
Recent Developments in Nonlinear Partial Differential Equations (2007) (4)
A singular perturbation approach to a two -phase parabolic free boundary problem arising in flame propagation (1999) (4)
On the pointwise jump condition at the free boundary in the 1-phase Stefan problem (2005) (3)
Existence and regularity results for the penalized thin obstacle problem with variable coefficients (2020) (2)
Regularity results for a penalized boundary obstacle problem (2020) (2)
An Overview of the Obstacle Problem (2020) (1)
Recent developments in nonlinear partial differential equations : the Second Symposium on Analysis and PDEs, June 7-10, 2004, Purdue University, West Lafayette, Indiana (2007) (1)
A two phase boundary obstacle-type problem for the bi-Laplacian (2021) (1)
On a weighted two-phase boundary obstacle problem (2021) (0)
Calculus of Variations (2005) (0)
Difficult Dialogues in the Midwest: A Retrospective on the Impact of EDGE at Purdue University (2019) (0)
Obstacle Problems for Nonlocal Operators: A Brief Overview (2018) (0)
A survey on obstacle-type problems for fourth order elliptic operators (2022) (0)

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