When a paper is finished

Research Papers

  • T. Kuusi, G. Mingione: Linear potentials in nonlinear potential theory -- Preprint 2011

  • T. Kuusi, G. Mingione: Gradient regularity for nonlinear parabolic equations -- Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (Ser. V), to appear

  • G. Mingione: Nonlinear measure data problems -- Milan Journal of Mathematics 79 (2011) 429-496

  • T. Kuusi, G. Mingione: Universal potential estimates -- Journal of Functional Analysis 262 (2012) 4205-4269

  • T. Kuusi, G. Mingione: Potential estimates and gradient boundedness for nonlinear parabolic systems -- Revista Matematica Iberoamericana 28 (2012) 535-576

  • V. Boegelein, M. Foss, G. Mingione: Regularity in parabolic systems with continuous coefficients -- Mathematische Zeitschrift 270 (2012) 903-938

  • V. Boegelein, F. Duzaar, G. Mingione: The regularity of general parabolic systems with degenerate diffusion -- Memoirs of the American Mathematical Society, to appear, 149 pages

  • F. Duzaar, G. Mingione: Local Lipschitz regularity for degenerate elliptic systems -- Annales de l'Institut Henri Poincare, Analyse Non Lineaire 27 (2010) 1361-1396

  • F. Duzaar, G. Mingione: Gradient estimates via linear and nonlinear potentials -- Journal of Functional Analysis 259 (2010) 2961-2998

  • F. Duzaar, G. Mingione: Gradient continuity estimates -- Calculus of Variations & Partial Differential Equations 39 (2010) 379-418

  • V. Boegelein, F. Duzaar, G. Mingione: Degenerate problems with irregular obstacles -- Journal für die reine und angewandte Mathematik (Crelles Journal) 650 (2011) 107–160

  • F. Duzaar, G. Mingione: Gradient estimates via nonlinear potentials -- American Journal of Mathematics 133 (2011) 1093-1149

  • 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 13 (2011) 459-486

  • J. Kristensen, G. Mingione: Boundary regularity in variational problems -- Archive for Rational Mechanics & Analysis 198 (2010) 369-455

  • F. Duzaar, G. Mingione, K. Steffen: Parabolic systems with polynomial growth and regularity -- Memoirs of the American Mathematical Society 214 (2011), no. 1005, 128 pages

  • 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 ω-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

  • L. Esposito, G. Mingione: Relaxation results for higher order integrals below the natural growth exponent -- Differential and Integral Equations 15 (2002) 671-696

  • 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,α-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,α-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, Mathematique 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: La teoria di Calderon-Zygmund dal caso lineare a quello non lineare -- Bollettino dell'Unione Matematica Italiana (Ser. IX), to appear

  • T. Kuusi, G. Mingione: Pointwise gradient estimates -- Preprint

  • J. Kristensen, G. Mingione: Sketches of regularity theory of the 20th century and the work of Jindrich Necas -- to appear in J. Necas' Selecta

  • G. Mingione: Sketches of nonlinear Calderon-Zygmund theory -- Proceedings of NAFSA9 (Academy of Sciences, Czech Republic) (2010) 105--144

  • 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


Research announcements
  • T. Kuusi, G. Mingione: A surprising linear type estimate for nonlinear elliptic equations -- Comptes Rendus de l'Académie des Sciences, Ser. I, Mathematique 349 (2011) 889-892
  • T. Kuusi, G. Mingione: Nonlinear potential estimates in parabolic problems -- Rendiconti Lincei, Matematica e Applicazioni 22 (2011) 161-174
  • T. Kuusi, G. Mingione: Endpoint and intermediate potential estimates for nonlinear equations -- Bollettino dell'Unione Matematica Italiana (Ser. IX) 4 (2011) 149-157

  • G. Mingione: Boundary regularity in variational problems -- Oberwolfach Reports 7 (2010) 1837-1840

  • G. Mingione: Gradient estimates via nonlinear potentials -- Oberwolfach Reports 6 (2009) 2000-2004

  • F. Duzaar, G. Mingione: Gradient estimates in non-linear potential theory -- Rendiconti Lincei, Matematica e Applicazioni 20 (2009) 179-190

  • J. Kristensen, G. Mingione: Boundary regularity of minima -- Rendiconti Lincei, Matematica e Applicazioni 19 (2008) 265-277

  • G. Mingione, A. Zatorska-Goldstein, X. Zhong: On the regularity of p-harmonic functions in the Heisenberg Group -- Bollettino dell'Unione Matematica Italiana (Ser. IX) 1 (2008) 243-253

  • G. Mingione: Calderon-Zygmund estimates for measure data problems -- Comptes Rendus de l'Académie des Sciences, Ser. I, Mathematique 344 (2007) 437-442

  • G. Mingione: Calderon-Zygmund theory around limit cases -- Oberwolfach Reports 4 (2007) 2051-2055

  • G. Mingione: Calderon-Zygmund theory for parabolic systems -- Oberwolfach Reports 3 (2006) 1890-1893

  • G. Mingione: Singular sets of vectorial elliptic problems -- Oberwolfach Reports 2 (2005) 1875-1877

  • J. Kristensen, G. Mingione: Non-differentiable functionals and singular sets of minima -- Comptes Rendus de l'Académie des Sciences, Ser. I, Mathematique 340 (2005) 93-98

  • J. Mŕlek, G. Mingione, J. Starŕ: Fluids with pressure dependent viscosity: partial regularity of steady flows -- EQUADIFF 2003, 380-385, World Sci. Publ., Hackensack, NJ, 2005

  • E. Acerbi, G. Mingione: Regularity results for electrorheological fluids: the stationary case -- Comptes Rendus de l'Académie des Sciences, Ser. I, Mathematique 334 (2002) 817-822

  • L. Esposito, F. Leonetti, G. Mingione: Higher differentiability for minimizers of irregular integrals -- Nonlinear Analysis TMA 47 (2001) 4355-4364

  • E. Acerbi, G. Mingione: Functionals with p(x)-growth and regularity -- Rendiconti Lincei, Matematica e Applicazioni 11 (2000) 169-174
HOME