Some Papers
In the following you will find a list of some of the papers
I wrote, with, in parentheses, their year of completion. You will immediately find some research papers, while survery papers are at the bottom of the page.
Research Papers
V. Boegelein, M. Foss, G. Mingione: Regularity in parabolic systems with continuous coefficients -- Preprint
V. Boegelein, F. Duzaar, G. Mingione: The regularity of general parabolic systems with degenerate diffusion -- Preprint
F. Duzaar, G. Mingione: Local Lipschitz regularity for degenerate elliptic systems -- Annales de l'Institut Henri Poincare, Analyse Non Lineaire, doi:10.1016/j.anihpc.2010.07.002
F. Duzaar, G. Mingione: Gradient continuity estimates -- Calculus of Variations & Partial Differential Equations, to appear
V. Boegelein, F. Duzaar, G. Mingione: Degenerate problems with irregular obstacles -- Journal für
die reine und angewandte Mathematik (Crelles Journal), to appear
F. Duzaar, G. Mingione: Gradient estimates via nonlinear potentials -- American Journal of Mathematics, to appear
V. Boegelein, F. Duzaar, G. Mingione: The boundary regularity of non-linear parabolic systems II -- Annales de l'Institut Henri Poincare, Analyse Non Lineaire 27 (2010) 145-200
V. Boegelein, F. Duzaar, G. Mingione: The boundary regularity of non-linear parabolic systems I -- Annales de l'Institut Henri Poincare, Analyse Non Lineaire 27 (2010) 201-255
G. Mingione: Gradient potential estimates -- Journal of the European Mathematical Society, to appear
J. Kristensen, G. Mingione:
Boundary regularity in variational problems -- Archive for Rational Mechanics & Analysis, to appear
F.
Duzaar, G. Mingione, K. Steffen:
Parabolic systems with polynomial growth and regularity -- Memoirs of the American Mathematical Society, to appear
G. Mingione:
Gradient estimates below the duality exponent -- Mathematische Annalen 346 (2010) 571-627
G. Mingione, A.
Zatorska-Goldstein, X.
Zhong: Gradient regularity for elliptic equations in the Heisenberg group -- Advances in Mathematics 222 (2009) 62-129
M.Foss, G. Mingione: Partial continuity for elliptic problems -- Annales de l'Institut Henri Poincare, Analyse Non Lineaire 25 (2008) 471-503
G. Mingione: The Calderon-Zygmund theory for elliptic problems with measure data -- Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (Ser. V) 6 (2007) 195-261
J.
Kristensen, G. Mingione:
The singular set of Lipschitzian minima of multiple integrals -- Archive for Rational Mechanics & Analysis 184 (2007) 341-369
E. Acerbi, G. Mingione:
Gradient estimates for a class of parabolic systems -- Duke Mathematical Journal 136 (2007) 285-320
J.J. Manfredi, G. Mingione: Regularity results for quasilinear elliptic equations in the Heisenberg group -- Mathematische Annalen 339 (2007) 485-544
F.
Duzaar, J.
Kristensen, G. Mingione: The existence of regular boundary points for non-linear elliptic systems -- Journal für
die reine und angewandte Mathematik (Crelles Journal) 602 (2007) 17-58
J.
Kristensen, G. Mingione:
The singular set of minima of integral functionals -- Archive for Rational Mechanics & Analysis 180 (2006) 331-398
F.
Duzaar, G. Mingione:
Second order parabolic systems, optimal regularity, and singular sets of solutions -- Annales de l'Institut Henri Poincare, Analyse Non Lineaire 22 (2005) 705-751
E. Acerbi, G. Mingione:
Gradient estimates for the p(x)-Laplacean system -- Journal für
die reine und angewandte Mathematik (Crelles Journal) 584 (2005) 117-148
J.
Kristensen, G. Mingione:
The singular set of w-minima -- Archive for Rational Mechanics & Analysis 177 (2005) 93-114
E. Acerbi, I. Fonseca, G. Mingione: Existence and Regularity for Mixtures of
Micromagnetic Materials -- Proceedings of the Royal Society of London A 462 (2006) 2225-2243
F.
Duzaar, A. Gastel, G. Mingione:
Elliptic systems, singular sets and Dini continuity -- Communications in Partial Differential Equations 29 (2004) 1215-1240
F.
Duzaar, G. Mingione:
Regularity for Degenerate
Elliptic Problems via p-harmonic Approximation -- Annales de l'Institut Henri Poincare, Analyse Non Lineaire 21 (2004) 735-766
I. Fonseca, J. Maly, G. Mingione:
Scalar minimizers with fractal singular sets -- Archive for Rational Mechanics & Analysis 172 (2004) 295-312
G. Mingione, D. Mucci:
Integral functionals and the gap problem: sharp bounds for relaxation and energy concentration
-- SIAM Journal on Mathematical Analysis 36 (2005) 1540-1579
G. Mingione:
Bounds for the singular set of solutions to
non linear elliptic systems -- Calculus of Variations & Partial Differential Equations 18 (2003) 373-400
F.
Duzaar, G. Mingione: The
p-harmonic approximation and the regularity of
p-harmonic maps -- Calculus of Variations & Partial Differential Equations 20 (2004)
235-256
E. Acerbi, G.
Mingione, G.A. Seregin:
Regularity results for parabolic systems related to a
class of Non
Newtonian fluids -- Annales de l'Institut Henri Poincare, Analyse Non Lineaire 21 (2004) 25-60
G. Mingione:
The singular set of solutions to
non-differentiable elliptic systems -- Archive for Rational
Mechanics &
Analysis 166 (2003) 287-301
L. Esposito, F. Leonetti, G.
Mingione: Sharp regularity
for functionals with (p,q) growth -- Journal of Differential Equations 204 (2004) 5-55
E. Acerbi, G.
Mingione: Regularity
results for
stationary electro-rheological fluids -- Archive for
Rational Mechanics &
Analysis 164 (2002) 213-259
N. Fusco, G.
Mingione, C. Trombetti: Regularity of minimizers for a class of anisotropic free
discontinuity problems -- Journal of Convex Analysis 8 (2001) 349-367
L. Esposito, F. Leonetti, G.
Mingione: Regularity for
minimizers of irregular integrals with
(p,q)-growth -- Forum
Mathematicum 14 (2002) 245-272
E. Acerbi, G.
Mingione: Regularity
results for a class of
quasiconvex functionals with nonstandard growth --
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (Ser. IV) 30 (2001)
311-339
E. Acerbi, G.
Mingione: Regularity
results for a class of
functionals with nonstandard growth -- Archive for
Rational Mechanics & Analysis
156 (2001) 121-140
L. Esposito, G.
Mingione: Partial regularity for
minimizers of degenerate polyconvex energies -- Journal of
Convex
Analysis 8 (2001) 1-38
M. Fuchs, G.
Mingione: Full C1,a-regularity for
free and constrained local minimizers of integral
functionals with
nearly linear growth -- manuscripta mathematica 102
(2000)
227-250
G. Mingione, F.
Siepe: Full C1,a-regularity for
minimizers of integral functionals with Llog
L-growth -- Zeitshrift fuer Analysis und ihre
Anwendungen 18 (1999) 1083-1100
L. Esposito, G. Mingione: Partial regularity for minimizers of convex integrals with Llog
L-growth -- Nonlinear Differential Equations and Applications 7 (2000) 107-125
A. Coscia, G.
Mingione: Holder continuity of the gradient
of p(x) harmonic mappings -- Comptes Rendus de l'Académie des Sciences - Ser. I - Mathematics 328
(1999) 363-368
L. Esposito, F.Leonetti, G.
Mingione: Higher
integrability for minimizers of integral functionals
with (p,q)
growth -- Journal of Differential Equations 157 (1999)
414-438
L. Esposito, F.Leonetti, G.
Mingione: Regularity for minimizers of functionals with p-q growth -- Nonlinear Differential Equations and Applications 6 (1999) 133--148
M. Carozza, N. Fusco, G.
Mingione:
Partial regularity of
minimizers of quasiconvex integrals with subquadratic
growth
-- Annali di Matematica Pura ed Applicata Ser. IV 175 (1998) 141-164
Survey Papers
G.
Mingione: Nonlinear aspects of Calderon-Zygmund theory -- Jahresbericht der Deutschen Mathematiker Vereinigung 112 (2010) 159--191
G.
Mingione: Boundary regularity for vectorial problems -- Nonlinear Partial Differential Equations and Related Topics: Dedicated to Nina N. Uraltseva, Amer. Math. Soc. Trans. (Ser. 2) 229 (2010) 173--195
G.
Mingione: Towards a non-linear Calderon-Zygmund theory -- Quaderni di Matematica 23 (2009) 371--458
F. Duzaar, G.
Mingione: Harmonic type approximation lemmas -- Journal of Mathematical Analysis and Applications 352 (2009) 301--335
G.
Mingione: Singularities of minima: a walk on the wild side of the Calculus of Variations -- Journal of Global Optimization 40 (2008) 209--223
G.
Mingione: Regularity of minima: an invitation to the dark side of the Calculus of Variations -- Applications of Mathematics 51 (2006) 355--426