Tuomo Kuusi

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All published works

Action	Title	Year	Authors
+ PDF Chat	Renormalized stochastic pressure equation with log-correlated Gaussian coefficients	2024	Benny Avelin Tuomo Kuusi Patrik Nummi Eero Saksman Jonas M. Tölle Lauri Viitasaari
+ PDF Chat	Renormalization group and elliptic homogenization in high contrast	2024	Scott A. Armstrong Tuomo Kuusi
+ PDF Chat	Superdiffusive central limit theorem for a Brownian particle in a critically-correlated incompressible random drift	2024	Scott N. Armstrong Ahmed Bou‐Rabee Tuomo Kuusi
+ PDF Chat	1D stochastic pressure equation with log-correlated Gaussian coefficients	2024	Benny Avelin Tuomo Kuusi Patrik Nummi Eero Saksman Jonas M. Tölle Lauri Viitasaari
+	Renormalized Stochastic Pressure Equation with Log-Correlated Gaussian Coefficients	2024	Patrik Nummi Benny Avelin Tuomo Kuusi Eero Saksman Jonas M. Tölle Lauri Viitasaari
+	Elliptic homogenization from qualitative to quantitative	2022	Scott A. Armstrong Tuomo Kuusi
+	Gradient regularity and first-order potential estimates for a class of nonlocal equations	2022	Tuomo Kuusi Simon Nowak Yannick Sire
+ PDF Chat	Global existence for the p-Sobolev flow	2021	Tuomo Kuusi Masashi Misawa Kenta Nakamura
+	Regularity estimates for the p-Sobolev flow	2021	Tuomo Kuusi Masashi Misawa Kenta Nakamura
+	Global existence for the p-Sobolev flow	2021	Tuomo Kuusi Masashi Misawa Kenta Nakamura
+	Optimal unique continuation for periodic elliptic equations on large scales	2021	Scott N. Armstrong Tuomo Kuusi Charles K. Smart
+	Quantitative homogenization for the obstacle problem and its free boundary	2021	Gohar Aleksanyan Tuomo Kuusi
+ PDF Chat	An iterative method for elliptic problems with rapidly oscillating coefficients	2020	Scott N. Armstrong Antti Hannukainen Tuomo Kuusi Jean-Christophe Mourrat
+ PDF Chat	<scp>Large‐Scale</scp> Analyticity and Unique Continuation for Periodic Elliptic Equations	2020	Scott N. Armstrong Tuomo Kuusi Charles K. Smart
+ PDF Chat	Homogenization, Linearization, and <scp>Large‐Scale</scp> Regularity for Nonlinear Elliptic Equations	2020	Scott N. Armstrong Samuel J. Ferguson Tuomo Kuusi
+	Large-scale analyticity and unique continuation for periodic elliptic equations	2020	Scott N. Armstrong Tuomo Kuusi Charles K. Smart
+ PDF Chat	Higher-Order Linearization and Regularity in Nonlinear Homogenization	2020	Scott N. Armstrong Samuel J. Ferguson Tuomo Kuusi
+	Large-scale analyticity and unique continuation for periodic elliptic equations	2020	Scott A. Armstrong Tuomo Kuusi Charles R. Smart
+ PDF Chat	Regularity Estimates for the p-Sobolev Flow	2019	Tuomo Kuusi Masashi Misawa Kenta Nakamura
+ PDF Chat	Quantitative Stochastic Homogenization and Large-Scale Regularity	2019	Scott N. Armstrong Tuomo Kuusi Jean-Christophe Mourrat
+	Calderón–Zygmund Gradient $$L^p$$ L p Estimates	2019	Scott N. Armstrong Tuomo Kuusi Jean-Christophe Mourrat
+	Decay of the Parabolic Semigroup	2019	Scott N. Armstrong Tuomo Kuusi Jean-Christophe Mourrat
+ PDF Chat	Boundary behavior of solutions to the parabolic p-Laplace equation	2018	Benny Avelin Tuomo Kuusi Kaj Nyström
+	Homogenization, linearization and large-scale regularity for nonlinear elliptic equations	2018	Scott N. Armstrong Sam Ferguson Tuomo Kuusi
+	Vectorial nonlinear potential theory	2018	Tuomo Kuusi Giuseppe Mingione
+ PDF Chat	Existence and Boundary Regularity for Degenerate Phase Transitions	2018	Paolo Baroni Tuomo Kuusi Casimir Lindfors José Miguel Urbano
+	Homogenization, linearization and large-scale regularity for nonlinear elliptic equations	2018	Scott A. Armstrong Sam Ferguson Tuomo Kuusi
+	Regularity Issues Involving the Fractional p-Laplacian	2017	Tuomo Kuusi Giuseppe Mingione Yannick Sire
+	Equivalence of solutions to fractional p-Laplace type equations	2017	Janne Korvenpää Tuomo Kuusi Erik Lindgren
+	Nonlinear Calderón–Zygmund Theory in the Limiting Case	2017	Benny Avelin Tuomo Kuusi Giuseppe Mingione
+ PDF Chat	Pointwise Calderón–Zygmund gradient estimates for the p-Laplace system	2017	Dominic Breit Andrea Cianchi Lars Diening Tuomo Kuusi Sebastian Schwarzacher
+ PDF Chat	Quantitative Analysis of Boundary Layers in Periodic Homogenization	2017	Scott N. Armstrong Tuomo Kuusi Jean-Christophe Mourrat Christophe Prange
+	Existence and boundary regularity for degenerate phase transitions	2017	Paolo Baroni Tuomo Kuusi Casimir Lindfors José Miguel Urbano
+	Existence and boundary regularity for degenerate phase transitions	2017	Paolo Baroni Tuomo Kuusi Casimir Lindfors José Miguel Urbano
+ PDF Chat	The additive structure of elliptic homogenization	2016	Scott N. Armstrong Tuomo Kuusi Jean-Christophe Mourrat
+ PDF Chat	Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci
+	A note on fractional supersolutions	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci
+	Hölder continuity up to the boundary for a class of fractional obstacle problems	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci
+ PDF Chat	The obstacle problem for nonlinear integro-differential operators	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci
+ PDF Chat	Mesoscopic Higher Regularity and Subadditivity in Elliptic Homogenization	2016	Scott N. Armstrong Tuomo Kuusi Jean-Christophe Mourrat
+	Equivalence of solutions to fractional $p$-Laplace type equations	2016	Janne Korvenpää Tuomo Kuusi Erik Lindgren
+ PDF Chat	Bounded Correctors in Almost Periodic Homogenization	2016	Scott N. Armstrong Antoine Gloria Tuomo Kuusi
+	Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci
+	The obstacle problem for nonlinear integro-differential operators	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci
+	Scaling limits of energies and correctors	2016	Scott N. Armstrong Tuomo Kuusi Jean-Christophe Mourrat
+	Nonlinear Potential Theory of elliptic systems	2016	Tuomo Kuusi Giuseppe Mingione
+ PDF Chat	Partial regularity and potentials	2016	Tuomo Kuusi Giuseppe Mingione
+	Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci
+	The obstacle problem for nonlinear integro-differential operators	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci
+	Scaling limits of energies and correctors	2016	Scott A. Armstrong Tuomo Kuusi Jean-Christophe Mourrat
+	Equivalence of solutions to fractional $p$-Laplace type equations	2016	Janne Korvenpää Tuomo Kuusi Erik Lindgren
+ PDF Chat	Systems of partial differential equations in porous medium	2015	Tuomo Kuusi Léonard Monsaingeon Juha Videman
+	Pointwise Calder\'on-Zygmund gradient estimates for the $p$-Laplace system	2015	Dominic Breit Andrea Cianchi Lars Diening Tuomo Kuusi Sebastian Schwarzacher
+	Shadows of infinities	2015	Tuomo Kuusi Peter Lindqvist Mikko Parviainen
+ PDF Chat	Local behavior of fractional p-minimizers	2015	Agnese Di Castro Tuomo Kuusi Giampiero Palatucci
+	Variational parabolic capacity	2015	Benny Avelin Tuomo Kuusi Mikko Parviainen
+ PDF Chat	Nonlocal self-improving properties	2015	Tuomo Kuusi Giuseppe Mingione Yannick Sire
+ PDF Chat	Nonlocal Equations with Measure Data	2015	Tuomo Kuusi Giuseppe Mingione Yannick Sire
+	Pointwise Calderón-Zygmund gradient estimates for the $p$-Laplace system	2015	Dominic Breit Andrea Cianchi Lars Diening Tuomo Kuusi Sebastian Schwarzacher
+	Systems in porous medium - Systems of partial differential equations in porous medium	2014	Tuomo Kuusi Léonard Monsaingeon Juha Videman
+	Systems of partial differential equations in porous medium	2014	Tuomo Kuusi Léonard Monsaingeon Juha Videman
+ PDF Chat	A fractional Gehring lemma, with applications to nonlocal equations	2014	Tuomo Kuusi Giuseppe Mingione Yannick Sire
+	Borderline gradient continuity of minima	2014	Paolo Baroni Tuomo Kuusi Giuseppe Mingione
+	Shadows of infinities	2014	Tuomo Kuusi Peter Lindqvist Mikko Parviainen
+ PDF Chat	A Quantitative Modulus of Continuity for the Two-Phase Stefan Problem	2014	Paolo Baroni Tuomo Kuusi José Miguel Urbano
+	Nonlocal Harnack inequalities	2014	Agnese Di Castro Tuomo Kuusi Giampiero Palatucci
+	Borderline gradient continuity for nonlinear parabolic systems	2014	Tuomo Kuusi Giuseppe Mingione
+ PDF Chat	Borderline gradient continuity of minima	2014	Paolo Baroni Tuomo Kuusi Giuseppe Mingione
+	Nonlocal Harnack inequalities	2014	Agnese Di Castro Tuomo Kuusi Giampiero Palatucci
+	A boundary Harnack inequality for singular equations of 𝑝-parabolic type	2014	Tuomo Kuusi Giuseppe Mingione Kaj Nyström
+ PDF Chat	The Wolff gradient bound for degenerate parabolic equations	2014	Tuomo Kuusi Giuseppe Mingione
+ PDF Chat	Borderline Estimates for Fully Nonlinear Elliptic Equations	2014	Panagiota Daskalopoulos Tuomo Kuusi Giuseppe Mingione
+ PDF Chat	Guide to nonlinear potential estimates	2014	Tuomo Kuusi Giuseppe Mingione
+	Borderline gradient continuity of minima	2014	Paolo Baroni Tuomo Kuusi Giuseppe Mingione
+	Shadows of infinities	2014	Tuomo Kuusi Peter Lindqvist Mikko Parviainen
+	Systems of partial differential equations in porous medium	2014	Tuomo Kuusi Léonard Monsaingeon Juha Videman
+	Nonlocal Harnack inequalities	2014	Agnese Di Castro Tuomo Kuusi Giampiero Palatucci
+ PDF Chat	Gradient regularity for nonlinear parabolic equations	2013	Tuomo Kuusi Giuseppe Mingione
+ PDF Chat	Riesz Potentials and Nonlinear Parabolic Equations	2013	Tuomo Kuusi Giuseppe Mingione
+	A nonlinear Stein theorem	2013	Tuomo Kuusi Giuseppe Mingione
+	Sharp regularity for evolutionary obstacle problems, interpolative geometries and removable sets	2013	Tuomo Kuusi Giuseppe Mingione Kaj Nyström
+	Linear Potentials in Nonlinear Potential Theory	2012	Tuomo Kuusi Giuseppe Mingione
+ PDF Chat	Nonlinear parabolic capacity and polar sets of superparabolic functions	2012	Juha Kinnunen Riikka Korte Tuomo Kuusi Mikko Parviainen
+	Borderline estimates for fully nonlinear elliptic equations	2012	Panagiota Daskalopoulos Tuomo Kuusi Giuseppe Mingione
+ PDF Chat	Potential estimates and gradient boundedness for nonlinear parabolic systems	2012	Tuomo Kuusi Giuseppe Mingione
+	Universal potential estimates	2012	Tuomo Kuusi Giuseppe Mingione
+	New perturbation methods for nonlinear parabolic problems	2012	Tuomo Kuusi Giuseppe Mingione
+	Local Hoelder continuity for doubly nonlinear parabolic equations	2012	Tuomo Kuusi Juhana Siljander José Miguel Urbano
+	Borderline estimates for fully nonlinear elliptic equations	2012	Panagiota Daskalopoulos Tuomo Kuusi Giuseppe Mingione
+	Pointwise gradient estimates	2011	Tuomo Kuusi Giuseppe Mingione
+ PDF Chat	Hölder continuity for Trudinger’s equation in measure spaces	2011	Tuomo Kuusi Rojbin Laleoglu Juhana Siljander José Miguel Urbano
+ PDF Chat	A surprising linear type estimate for nonlinear elliptic equations	2011	Tuomo Kuusi Giuseppe Mingione
+ PDF Chat	Nonlinear potential estimates in parabolic problems	2011	Tuomo Kuusi Giuseppe Mingione
+ PDF Chat	Superharmonic functions are locally renormalized solutions	2011	Tero Kilpeläinen Tuomo Kuusi Anna Tuhola-Kujanpää
+	H\"older continuity for Trudinger's equation in measure spaces	2011	Tuomo Kuusi Rojbin Laleoglu Juhana Siljander José Miguel Urbano
+	Hölder continuity for Trudinger's equation in measure spaces	2011	Tuomo Kuusi Rojbin Laleoglu Juhana Siljander José Miguel Urbano
+	Endpoint and Intermediate Potential Estimates for Nonlinear Equations	2011	Tuomo Kuusi Giuseppe Mingione
+	Local Hölder continuity for doubly nonlinear parabolic equations	2010	Tuomo Kuusi Juhana Siljander José Miguel Urbano
+	OLDER CONTINUITY FOR DOUBLY NONLINEAR PARABOLIC EQUATIONS	2010	Tuomo Kuusi Juhana Siljander Jos E Miguel Urbano
+	Local Hölder continuity for doubly nonlinear parabolic equations	2010	Tuomo Kuusi Juhana Siljander José Miguel Urbano
+	A note on the Wolff potential estimate for solutions to elliptic equations involving measures	2009	Riikka Korte Tuomo Kuusi
+ PDF Chat	Lower semicontinuity of weak supersolutions to nonlinear parabolic equations	2009	Tuomo Kuusi
+ PDF Chat	A connection between a general class of superparabolic functions and supersolutions	2009	Riikka Korte Tuomo Kuusi Mikko Parviainen
+ PDF Chat	Harnack estimates for weak supersolutions to nonlinear degenerate parabolic equations	2009	Tuomo Kuusi
+	Obstacle problem for nonlinear parabolic equations	2009	Riikka Korte Tuomo Kuusi Juhana Siljander
+ PDF Chat	Existence for a degenerate Cauchy problem	2008	Tuomo Kuusi Mikko Parviainen
+	Harnack's inequality for quasiminimizers with nonstandard growth conditions	2008	Petteri Harjulehto Tuomo Kuusi Teemu Lukkari Niko Marola Mikko Parviainen
+	Harnack estimates for supersolutions to a nonlinear degenerate parabolic equation	2007	Tuomo Kuusi
+	Local behaviour of solutions to doubly nonlinear parabolic equations	2006	Juha Kinnunen Tuomo Kuusi

Common Coauthors

Coauthor	Papers Together
Giuseppe Mingione	30
Scott N. Armstrong	16
Giampiero Palatucci	12
Janne Korvenpää	11
José Miguel Urbano	10
Jean-Christophe Mourrat	9
Juhana Siljander	8
Mikko Parviainen	8
Paolo Baroni	7
Benny Avelin	6
Scott A. Armstrong	5
Yannick Sire	5
Agnese Di Castro	4
Kenta Nakamura	4
Masashi Misawa	4
Riikka Korte	4
Léonard Monsaingeon	4
Juha Videman	4
Kaj Nyström	3
Charles K. Smart	3
Lars Diening	3
Eero Saksman	3
Dominic Breit	3
Lauri Viitasaari	3
Peter Lindqvist	3
Casimir Lindfors	3
Jonas M. Tölle	3
Sebastian Schwarzacher	3
Andrea Cianchi	3
Rojbin Laleoglu	3
Patrik Nummi	3
Erik Lindgren	3
Panagiota Daskalopoulos	3
Sam Ferguson	2
Samuel J. Ferguson	2
Tero Kilpeläinen	1
Petteri Harjulehto	1
Anna Tuhola-Kujanpää	1
Simon Nowak	1
Niko Marola	1
Ahmed Bou-Rabee	1
Urbano	1
Charles R. Smart	1
Jos E Miguel	1
Antti Hannukainen	1
Antoine Gloria	1
Gohar Aleksanyan	1
Christophe Prange	1
Juha Kinnunen	1
Juha Kinnunen	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Degenerate Parabolic Equations	1993	Emmanuele DiBenedetto	34
+ PDF Chat	Gradient potential estimates	2010	Giuseppe Mingione	27
+ PDF Chat	The Wiener test and potential estimates for quasilinear elliptic equations	1994	Tero Kilpeläinen Jan Malý	25
+ PDF Chat	The Calderón-Zygmund theory for elliptic problems with measure data	2009	Giuseppe Mingione	22
+	Nonlinear Potential Theory of Degenerate Elliptic Equations	2018	Juha Heinonen Tero Kilpeläinen Олли Мартио	22
+	On the weak continuity of elliptic operators and applications to potential theory	2002	Neil S. Trudinger Xu‐Jia Wang	20
+	Linear Potentials in Nonlinear Potential Theory	2012	Tuomo Kuusi Giuseppe Mingione	18
+ PDF Chat	Gradient estimates via non-linear potentials	2011	Frank Duzaar Giuseppe Mingione	18
+	Degenerate elliptic equations with measure data and nonlinear potentials	1992	Tero Kilpeläinen Jan Malý	17
+	Direct Methods in the Calculus of Variations	2003	Enrico Giusti	16
+	Non-linear elliptic and parabolic equations involving measure data	1989	Lucio Boccardo Thierry Gallouët	16
+	Gradient estimates below the duality exponent	2009	Giuseppe Mingione	15
+	Hölder estimates for nonlinear degenerate parabolic sytems.	1985	Emmanuele DiBenedetto Avner Friedman	15
+	Regularity for minima of functionals with p-growth	1988	Juan J. Manfredi	14
+	Hitchhikerʼs guide to the fractional Sobolev spaces	2011	Eleonora Di Nezza Giampiero Palatucci Enrico Valdinoci	14
+	Pointwise estimates and quasilinear parabolic equations	1968	Neil S. Trudinger	14
+	Gradient estimates for a class of parabolic systems	2006	E. Acerbi Giuseppe Mingione	13
+	Nonlinear Parabolic Equations with Measure Data	1997	Lucio Boccardo Andrea Dall’Aglio Thierry Gallouët Luigi Orsina	13
+	Gradient estimates via linear and nonlinear potentials	2010	Frank Duzaar Giuseppe Mingione	13
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	13
+ PDF Chat	Harnack estimates for weak supersolutions to nonlinear degenerate parabolic equations	2009	Tuomo Kuusi	13
+	A note on the Wolff potential estimate for solutions to elliptic equations involving measures	2009	Riikka Korte Tuomo Kuusi	12
+	On the Higher Integrability of the Gradient of Weak Solutions of Certain Degenerate Elliptic Systems	1993	Emmanuele DiBenedetto Juan J. Manfredi	12
+ PDF Chat	Thin sets in nonlinear potential theory	1983	Lars-Inge Hedberg Thomas Wolff	12
+	Gradient continuity estimates	2010	Frank Duzaar Giuseppe Mingione	12
+	Universal potential estimates	2012	Tuomo Kuusi Giuseppe Mingione	12
+ PDF Chat	Gradient regularity for nonlinear parabolic equations	2013	Tuomo Kuusi Giuseppe Mingione	11
+ PDF Chat	Local Lipschitz regularity for degenerate elliptic systems	2010	Frank Duzaar Giuseppe Mingione	11
+	Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations	2010	Andrea Cianchi Vladimir Maz’ya	11
+ PDF Chat	Harnack estimates for quasi-linear degenerate parabolic differential equations	2008	Emmanuele DiBenedetto Ugo Gianazza Vincenzo Vespri	11
+	Quasilinear elliptic-parabolic differential equations	1983	Hans Wilhelm Alt Stephan Luckhaus	11
+	Regularity of quasi-minimizers on metric spaces	2001	Juha Kinnunen Nageswari Shanmugalingam	10
+ PDF Chat	A connection between a general class of superparabolic functions and supersolutions	2009	Riikka Korte Tuomo Kuusi Mikko Parviainen	10
+	Nonlinear Elliptic Equations with Right Hand Side Measures	1992	Lucio Boccardo Thierry Gallouët	10
+	Notes on the p-Laplace equation	2006	Peter Lindqvist	10
+	Compactness methods in the theory of homogenization	1987	Marco Avellaneda Fang‐Hua Lin	10
+	C1 + α local regularity of weak solutions of degenerate elliptic equations	1983	Emmanuele DiBenedetto	10
+	Holder Estimates for Local Solutions of Some Doubly Nonlinear Degenerate Parabolic Equations	1993	Maria Michaela Porzio Vincenzo Vesprı	10
+ PDF Chat	Regularity for a class of non-linear elliptic systems	1977	Karen Uhlenbeck	10
+	On the Dirichlet Boundary Value Problem for a Degenerate Parabolic Equation	1996	Tero Kilpeläinen Peter Lindqvist	10
+ PDF Chat	Quasilinear and Hessian equations of Lane–Emden type	2008	Nguyễn Hữu Huy Phúc Igor E. Verbitsky	10
+	The Singular Set of Minima of Integral Functionals	2005	Jan Kristensen Giuseppe Mingione	9
+	Singular quasilinear and Hessian equations and inequalities	2009	Nguyen Cong Phuc Igor E. Verbitsky	9
+	On the local behaviour of solutions of a certain class of doubly nonlinear parabolic equations	1992	Vincenzo Vesprı	9
+	Nonlinear Measure Data Problems	2011	Giuseppe Mingione	9
+ PDF Chat	A surprising linear type estimate for nonlinear elliptic equations	2011	Tuomo Kuusi Giuseppe Mingione	9
+	NON-LINEAR POTENTIAL THEORY	1972	Vladimir Maz’ya V. P. Khavin	9
+ PDF Chat	Guide to nonlinear potential estimates	2014	Tuomo Kuusi Giuseppe Mingione	9
+ PDF Chat	Potential estimates and gradient boundedness for nonlinear parabolic systems	2012	Tuomo Kuusi Giuseppe Mingione	9
+	On the definition and properties of p-superharmonic functions.	1986	Peter Lindqvist	9