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List of works by Giuseppe Mingione

A boundary Harnack inequality for singular equations of $p$-parabolic type

A fractional Gehring lemma, with applications to nonlocal equations

article published in 2014

A nonlinear Stein theorem

A surprising linear type estimate for nonlinear elliptic equations

article

Borderline Estimates for Fully Nonlinear Elliptic Equations

article

Borderline gradient continuity for nonlinear parabolic systems

Borderline gradient continuity of minima

Boundary Regularity in Variational Problems

article published in 2010

Bounded Minimisers of Double Phase Variational Integrals

article published in 2015

Bounds for the singular set of solutions to non linear elliptic systems

Calderón–Zygmund estimates and non-uniformly elliptic operators

article

Calderón–Zygmund estimates for measure data problems

article

Carlo Sbordone, a Neapolitan mathematician

scholarly article by Nicola Fusco & Giuseppe Mingione published December 2018 in Nonlinear Analysis: Theory, Methods & Applications

Carlo Sbordone, a Neapolitan mathematician

scholarly article by Nicola Fusco & Giuseppe Mingione published June 2018 in Nonlinear Analysis: Theory, Methods & Applications

Carlo Sbordone, a Neapolitan mathematician

Degenerate problems with irregular obstacles

Elliptic Systems, Singular Sets and Dini Continuity

scholarly article by Frank Duzaar et al published 11 January 2004 in Communications in Partial Differential Equations

Existence and regularity for mixtures of micromagnetic materials

scientific article published in 2006

Full C 1,α -regularity for free and constrained local minimizers of elliptic variational integrals¶with nearly linear growth

article by Martin Fuchs & Giuseppe Mingione published 1 June 2000 in Manuscripta Mathematica

Gradient continuity estimates

article

Gradient estimates below the duality exponent

article

Gradient estimates for a class of parabolic systems

article

Gradient estimates via linear and nonlinear potentials

article

Gradient potential estimates

article

Gradient regularity for elliptic equations in the Heisenberg group

Guide to nonlinear potential estimates

scientific article published on 9 January 2014

Harmonic type approximation lemmas

article published in 2009

Harnack inequalities for double phase functionals

scholarly article by Paolo Baroni et al published July 2015 in Nonlinear Analysis: Theory, Methods & Applications

Higher Integrability for Minimizers of Integral Functionals With (p, q) Growth

Higher differentiability for minimizers of irregular integrals

Hölder continuity of the gradient of p(x)-harmonic mappings

Integral Functionals and the Gap Problem: Sharp Bounds for Relaxation and Energy Concentration

Interpolative gap bounds for nonautonomous integrals

scientific article published in 2021

Linear Potentials in Nonlinear Potential Theory

Lipschitz Bounds and Nonautonomous Integrals

scientific article published in 2021

Local Lipschitz regularity for degenerate elliptic systems

New perturbation methods for nonlinear parabolic problems

Non-autonomous functionals, borderline cases and related function classes

Non-differentiable functionals and singular sets of minima

Nonlinear Aspects of Calderón-Zygmund Theory

Nonlinear Calderón–Zygmund Theory in the Limiting Case

article by Benny Avelin et al published 16 September 2017 in Archive for Rational Mechanics and Analysis

Nonlinear Measure Data Problems

article by Giuseppe Mingione et al published 18 November 2011 in Milan Journal of Mathematics

Nonlinear Potential Theory of elliptic systems

scholarly article by Tuomo Kuusi & Giuseppe Mingione published June 2016 in Nonlinear Analysis: Theory, Methods & Applications

Nonlinear potential estimates in parabolic problems

article

Nonlocal Equations with Measure Data ⬇️

Nonlocal self-improving properties

On the Lipschitz regularity for certain elliptic problems

On the continuity of the solution of the singular equation

Parabolic Systems with Polynomial Growth and Regularity

Partial continuity for elliptic problems

article by Mikil Foss & Giuseppe Mingione published May 2008 in Annales de l'Institut Henri Poincare C

Partial regularity and potentials

scholarly article published 2016

Partial regularity for minimizers of convex integrals with L log L-growth

Partial regularity of minimizers of quasiconvex integrals with subquadratic growth

article by Menita Carozza et al published December 1998 in Annali di Matematica Pura ed Applicata

Pointwise gradient estimates

article

Preface

Recent Advances in Nonlinear Potential Theory

Regularity Results for Stationary Electro-Rheological Fluids

article by Emilio Acerbi & Giuseppe Mingione published 1 September 2002 in Archive for Rational Mechanics and Analysis

Regularity Results for a Class of Functionals with Non-Standard Growth

article by Emilio Acerbi & Giuseppe Mingione published 1 February 2001 in Archive for Rational Mechanics and Analysis

Regularity for Double Phase Variational Problems

Regularity for degenerate elliptic problems via p -harmonic approximation

Regularity for minimizers of functionals with p - q growth

Regularity in parabolic systems with continuous coefficients

Regularity of minima: An invitation to the dark side of the calculus of variations

Regularity results for electrorheological fluids: the stationary case

article by Emilio Acerbi & Giuseppe Mingione published January 2002 in Comptes Rendus Mathematique

Regularity results for minimizers of irregular integrals with (p,q) growth

article published in 2002

Regularity results for parabolic systems related to a class of non-Newtonian fluids

Regularity results for quasilinear elliptic equations in the Heisenberg group

Riesz Potentials and Nonlinear Parabolic Equations

Scalar Minimizers with Fractal Singular Sets

Second order parabolic systems, optimal regularity, and singular sets of solutions

article by Frank Duzaar & Giuseppe Mingione published November 2005 in Annales de l'Institut Henri Poincare C

Sharp regularity for evolutionary obstacle problems, interpolative geometries and removable sets

scholarly article by Tuomo Kuusi et al published February 2014 in Journal de Mathematiques Pures et Appliquees

Short Tales from Nonlinear Calderón-Zygmund Theory

Singularities of minima: a walk on the wild side of the Calculus of Variations

The Singular Set of Lipschitzian Minima of Multiple Integrals

article published in 2006

The Singular Set of Minima of Integral Functionals

The Singular Set of Solutions to Non-Differentiable Elliptic Systems

The Singular Set of ω-minima

The Wolff gradient bound for degenerate parabolic equations

article by Tuomo Kuusi & Giuseppe Mingione published 2014 in Journal of the European Mathematical Society

The boundary regularity of non-linear parabolic systems I

The boundary regularity of non-linear parabolic systems II

The existence of regular boundary points for non-linear elliptic systems

The p -harmonic approximation and the regularity of p -harmonic maps

The regularity of general parabolic systems with degenerate diffusion

The various stages of Nicola Fusco

scholarly article by Bernard Dacorogna et al published May 2017 in Nonlinear Analysis: Theory, Methods & Applications

Universal potential estimates

article

Vectorial nonlinear potential theory

article published in 2018

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