papers
research papers
c. de filippis, g. mingione: the sharp growth rate in nonuniformly elliptic schauder theory -- preprint 2024 (third and final chapter of the schauder trilogy, see first and second chapters)
c. de filippis, g. mingione: regularity for double phase problems at nearly linear growth -- archive for rational mechanics and analysis 247, 85 (2023) (second chapter of the schauder trilogy, see first and conclusive chapters)
c. de filippis, g. mingione: nonuniformly elliptic schauder theory -- inventiones mathematicae 234 (2023) 1109-1196 (first chapter of the schauder trilogy, see second and conclusive chapters)
c. de filippis, g. mingione: gradient regularity in mixed local and nonlocal problems -- mathematische annalen 388 (2024) 261-328, doi 10.1007/s00208-022-02512-7
c. de filippis, g. mingione: interpolative gap bounds for nonautonomous integrals -- analysis and mathematical physics 11:117 (2021) (dedicated to Vladimir Mazya)
c. de filippis, g. mingione: lipschitz bounds and nonautonomous integrals -- archive for rational mechanics and analysis 242 (2021) 973-1057
c. de filippis, g. mingione: on the regularity of minima of non-autonomous functionals -- the journal of geometric analysis 30 (2020) 1584-1626
c. de filippis, g. mingione: manifold constrained non-uniformly elliptic problems -- the journal of geometric analysis 30 (2020) 1661-1723
c. de filippis, g. mingione: a borderline case of calderón-zygmund estimates for non-uniformly elliptic problems -- st. petersburg mathematical journal 31 (2020) 455-477
l. beck, g. mingione: lipschitz bounds and nonuniform ellipticity -- communications on pure and applied mathematics 73 (2020) 944-1034
p. baroni, m. colombo, g. mingione: regularity for general functionals with double phase -- calculus of variations & partial differential equations 57:62 (2018), 48 pages
b. avelin, t. kuusi, g. mingione: nonlinear calderón-zygmund theory in the limiting case -- archive for rational mechanics and analysis 227 (2018) 663-714
t. kuusi, g. mingione: partial regularity and potentials -- journal de l'école polytechnique - mathématiques 3 (2016) 309-363
m. colombo, g. mingione: calderón-zygmund estimates and non-uniformly elliptic operators -- journal of functional analysis 270 (2016) 1416-1478
t. kuusi, g. mingione: vectorial nonlinear potential theory -- journal of the european mathematical society 20 (2018) 929-1004
p. baroni, m. colombo, g. mingione: harnack inequalities for double phase functionals -- nonlinear analysis tma 121 (2015) 206-222 (dedicated to enzo mitidieri)
p. baroni, m. colombo, g. mingione: non-autonomous functionals, borderline cases and related function classes -- st. petersburg mathematical journal 27 (2016) 347-379 (dedicated to nina ural'tseva)
p. baroni, t. kuusi, g. mingione: borderline gradient continuity of minima -- journal of fixed point theory and applications 15 (2014) 537-575 (häim brezis festschrift)
m. colombo, g. mingione: bounded minimisers of double phase variational integrals -- archive for rational mechanics and analysis 218 (2015) 219-273
m. colombo, g. mingione: regularity for double phase variational problems -- archive for rational mechanics and analysis 215 (2015) 443-496
t. kuusi, g. mingione, y. sire: nonlocal equations with measure data -- communications in mathematical physics 337 (2015) 1317-1368
t. kuusi, g. mingione, y. sire: nonlocal self-improving properties -- analysis & pde 8 (2015) 57-114
t. kuusi, g. mingione: guide to nonlinear potential estimates -- bulletin of mathematical sciences 4 (2014) 1-82
t. kuusi, g. mingione: borderline gradient continuity for nonlinear parabolic systems -- mathematische annalen 360 (2014) 937--993
t. kuusi, g. mingione: a nonlinear stein theorem -- calculus of variations & partial differential equations 51 (2014) 45-86
t. kuusi, g. mingione: riesz potentials and nonlinear parabolic equations -- archive for rational mechanics & analysis 212 (2014) 727-780
t. kuusi, g. mingione, k. nystrom: a boundary harnack inequality for singular equations of p-parabolic type -- proceedings of the american mathematical society 142 (2014) 2705-2719
p. daskalopoulos, t. kuusi, g. mingione: borderline estimates for fully nonlinear elliptic equations -- communications in partial differential equations 39 (2014) 574–590
t. kuusi, g. mingione, k. nystrom: sharp regularity for evolutionary obstacle problems, interpolative geometries and removable sets -- journal de mathématiques pures et appliquées (ser. ix) 101 (2014) 119-151
t. kuusi, g. mingione: linear potentials in nonlinear potential theory -- archive for rational mechanics & analysis 207 (2013) 215–246
t. kuusi, g. mingione: new perturbation methods for nonlinear parabolic problems -- journal de mathématiques pures et appliquées (ser. ix) 98 (2012) 390-427
t. kuusi, g. mingione: gradient regularity for nonlinear parabolic equations -- annali della scuola normale superiore di pisa, classe di scienze (ser. v) 12 (2013) 755-822
t. kuusi, g. mingione: the wolff gradient bound for degenerate parabolic equations -- journal of the european mathematical society 16 (2014) 835–892
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 fo nonlinear parabolic systems -- revista matematica iberoamericana 28 (2012) 535-576
v. bögelein, m. foss, g. mingione: regularity in parabolic systems with continuous coefficients -- mathematische zeitschrift 270 (2012) 903-938
v. bögelein, f. duzaar, g. mingione: the regularity of general parabolic systems with degenerate diffusion -- memoirs of the american mathematical society 221 (2013) no. 1041, 149 pages
f. duzaar, g. mingione: local lipschitz regularity for degenerate elliptic systems -- annales de l'institut henri poincaré analyse non linéaire 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. bögelein, 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. bögelein, f. duzaar, g. mingione: the boundary regularity of non-linear parabolic systems ii - annales de l'institut henri poincaré analyse non linéaire 27 (2010) 145-200
v. bögelein, f. duzaar, g. mingione: the boundary regularity of non-linear parabolic systems i -- annales de l'institut henri poincaré analyse non linéaire 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 poincaré analyse non linéaire 25 (2008) 471-503
g. mingione: the calderón-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
l. esposito, g. mingione, c. trombetti: on the lipschitz regularity for certain elliptic problems -- forum mathematicum 18 (2006) 263–292
f. duzaar, g. mingione: second order parabolic systems, optimal regularity, and singular sets of solutions -- annales de l'institut henri poincaré analyse non linéaire 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 poincaré analyse non linéaire 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 poincaré analyse non linéaire 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
m. bildhauer, m. fuchs, g. mingione: a priori gradient bounds and local C1,α-regularity for solutions to (double) obstacle problems under nonstandard growth conditions -- zeitshrift fuer analysis und ihre anwendungen 20 (2001) 959-985
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 LlogL-growth -- zeitshrift fuer analysis und ihre anwendungen 18 (1999) 1083-1100
l. esposito, g. mingione: partial regularity for minimizers of convex integrals with LlogL-growth -- nonlinear differential equations and applications 7 (2000) 107-125
a. coscia, g. mingione: hölder continuity of the gradient of p(x) harmonic mappings -- comptes rendus de l'académie des sciences, ser. i, mathematique 328 (1999) 363-368
m. carozza, g. mingione: partial regularity of minimizers of quasiconvex integrals with subquadratic growth: the general case -- annales polonici mathematici 77 (2001) 219–243
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
l. esposito, g. mingione: a regularity theorem for ω-minimizers of integral -- rendiconti di matematica e delle sue applicazioni (vii) 19 (1999) 17-44 ----> (the proof of the theorem in the title is reported the book of enrico giusti, chapter 7, section 7)
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 ----> (solves the open problem at page 344 of enrico giusti's book, reprint of the original edition from 1994)
survey papers, lecture notes, expository, editorials, proceedings, informal notes, etc
g. mingione, nonlinear potential theoretic methods in nonuniformly elliptic problems -- in: "geometric and analytic aspects of functional variational principles", springer verlag lnm, to appear.
g. mingione, v. radulescu: recent developments in problems with nonstandard growth and nonuniform ellipticity -- journal of mathematical analysis and applications, 501 (2021) 125197.
c. de filippis, g. mingione: lipschitz bounds -- rims kôkyûroku 2172 (2020), 86-104
g. mingione, g. palatucci: developments and perspectives in nonlinear potential theory -- nonlinear analysis, 194 (2020) 111452
t. kuusi, g. mingione, y. sire: regularity issues involving the fractional p-laplacian -- in: "recent developments in nonlocal theory", pages 303-334, book series in pde and measure theory, de gruyter verlag, 2018
g. mingione: short tales from nonlinear calderón-zygmund theory -- in: "nonlocal and nonlinear diffusions and interactions: new methods and applications", pages 159--204, springer verlag lnm 2186, 2017
g. mingione: recent progress in nonlinear potential theory -- proceedings of the 7ecm, berlin, 2016
t. kuusi, g. mingione: nonlinear potential theory of elliptic systems -- nonlinear analysis 138 (2016) 277-299 (special issue for juan luis vázquez)
g. mingione: recent advances in nonlinear potential theory -- in "trends in contemporary mathematics", springer-indam series 8 (2014) 277-292
g. mingione: la teoria di calderón-zygmund dal caso lineare a quello non lineare -- bollettino dell'unione matematica italiana (ser. ix) 6 (2013) 269-297
t. kuusi, g. mingione: pointwise gradient estimates -- nonlinear analysis tma 75 (2012) 4650-4663
j. kristensen, g. mingione: sketches of regularity theory of the 20th century and the work of jindrich necas -- in: selected works of jindrich necas; pdes, continuum mechanics and regularity (s. necasová, m. pokorny, & v. sverák, eds.)
g. mingione: sketches of nonlinear calderón-zygmund theory -- proceedings of nafsa9 (academy of sciences, czech republic) (2010) 105-144
g. mingione: nonlinear aspects of calderón-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 calderón-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
oberwolfach reports
new developments in nonlinear potential theory -- oberwolfach reports 10 (2013) 2292-2295
update on nonlinear potential theory -- oberwolfach reports 10 (2013) 458-461
the role of wolff potentials in the analysis of degenerate parabolic equations -- oberwolfach reports 8 (2011) 2177-2179
boundary regularity in variational problems -- oberwolfach reports 7 (2010) 1837-1840
gradient estimates via nonlinear potentials -- oberwolfach reports 6 (2009) 2000-2004
calderón-zygmund theory around limit cases -- oberwolfach reports 4 (2007) 2051-2055
calderón-zygmund theory for parabolic systems -- oberwolfach reports 3 (2006) 1890-1893
singular sets of vectorial elliptic problems -- oberwolfach reports 2 (2005) 1875-1877
functionals with a gap: regularity and relaxation -- oberwolfach abstract, august 2003
research announcements
l. beck, g. mingione: optimal lipschitz criteria and local estimates for non-uniformly elliptic problems -- rendiconti lincei, matematica e applicazioni 30 (2019) 223-236
t. kuusi, g. mingione, y. sire: a fractional gehring lemma, with applications to nonlocal equations -- rendiconti lincei, matematica e applicazioni 25 (2014) 345-358
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
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: calderón-zygmund estimates for measure data problems -- comptes rendus de l'académie des sciences, ser. i, mathematique 344 (2007) 437-442
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. màlek, g. mingione, j. starà: 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
