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Author ID: kinnunen.juha Recent zbMATH articles by "Kinnunen, Juha"
Published as: Kinnunen, Juha; Kinnunen, J.
Homepage: https://math.aalto.fi/~jkkinnun/
External Links: MGP
all top 5

Serials

4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Journal für die Reine und Angewandte Mathematik
3 Manuscripta Mathematica
3 Mathematische Annalen
3 Proceedings of the American Mathematical Society
3 Potential Analysis
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Arkiv för Matematik
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Journal of Functional Analysis
2 Mathematische Zeitschrift
2 Ricerche di Matematica
2 Transactions of the American Mathematical Society
2 Revista Matemática Iberoamericana
2 Publicacions Matemàtiques
2 The Journal of Geometric Analysis
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Calculus of Variations and Partial Differential Equations
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Journal of Evolution Equations
2 Advances in Calculus of Variations
2 Analysis and Geometry in Metric Spaces
1 Archive for Rational Mechanics and Analysis
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Advances in Mathematics
1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
1 Bulletin of the London Mathematical Society
1 Collectanea Mathematica
1 Demonstratio Mathematica
1 Duke Mathematical Journal
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of Differential Equations
1 Mathematica Scandinavica
1 Results in Mathematics
1 Forum Mathematicum
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Differential and Integral Equations
1 Communications in Partial Differential Equations
1 Electronic Journal of Differential Equations (EJDE)
1 NoDEA. Nonlinear Differential Equations and Applications
1 Mathematical Research Letters
1 Advances in Differential Equations
1 Journal of Inequalities and Applications
1 Revista Matemática Complutense
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Contemporary Mathematics
1 Computational Methods and Function Theory
1 Boundary Value Problems
1 Annales Academiæ Scientiarum Fennicæ. Series A I. Mathematica. Dissertationes
1 Mathematical Surveys and Monographs
1 Journal of Fixed Point Theory and Applications
1 Bollettino dell’Unione Matematica Italiana. Series IX
1 Analysis & PDE
1 Advances in Pure and Applied Mathematics
1 Kyoto Journal of Mathematics
1 Advances in Nonlinear Analysis
1 Journal of Function Spaces

Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 2,093 times in 1,069 Documents Cited by Year
A local estimate for nonlinear equations with discontinuous coefficients. Zbl 0941.35026
Kinnunen, Juha; Zhou, Shulin
134
1999
Higher integrability for parabolic systems of \(p\)-Laplacian type. Zbl 0994.35036
Kinnunen, Juha; Lewis, John L.
127
2000
Regularity of quasi-minimizers on metric spaces. Zbl 1006.49027
Kinnunen, Juha; Shanmugalingam, Nageswari
124
2001
The Hardy-Littlewood maximal function of a Sobolev function. Zbl 0882.43003
Kinnunen, Juha
118
1997
Regularity of the fractional maximal function. Zbl 1021.42009
Kinnunen, Juha; Saksman, Eero
97
2003
The derivative of the maximal function. Zbl 0904.42015
Kinnunen, Juha; Lindqvist, Peter
80
1998
The Sobolev capacity on metric spaces. Zbl 0859.46023
Kinnunen, Juha; Martio, Olli
73
1996
Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation. Zbl 1232.35080
Kinnunen, Juha; Lindqvist, Peter
73
2006
Sobolev spaces with zero boundary values on metric spaces. Zbl 0962.46021
Kilpeläinen, Tero; Kinnunen, Juha; Martio, Olli
61
2000
Nonlinear potential theory of metric spaces. Zbl 1030.46040
Kinnunen, Juha; Martio, Olli
60
2002
Hölder quasicontinuity of Sobolev functions on metric spaces. Zbl 1155.46306
Hajłasz, Piotr; Kinnunen, Juha
56
1998
A boundary estimate for nonlinear equations with discontinuous coefficients. Zbl 1161.35394
Kinnunen, Juha; Zhou, Shulin
54
2001
Local behaviour of solutions to doubly nonlinear parabolic equations. Zbl 1114.35035
Kinnunen, Juha; Kuusi, Tuomo
49
2007
Very weak solutions of parabolic systems of \(p\)-Laplacian type. Zbl 1011.35039
Kinnunen, Juha; Lewis, John L.
49
2002
Lebesgue points for Sobolev functions on metric spaces. Zbl 1037.46031
Kinnunen, Juha; Latvala, Visa
48
2002
Lebesgue points and capacities via boxing inequality in metric spaces. Zbl 1146.46018
Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli
48
2008
The BV-capacity in metric spaces. Zbl 1194.28001
Hakkarainen, Heikki; Kinnunen, Juha
42
2010
Hardy’s inequalities for Sobolev functions. Zbl 0909.42014
Kinnunen, Juha; Martio, Olli
41
1997
On the regularity theory for mixed local and nonlocal quasilinear elliptic equations. Zbl 1496.35118
Garain, Prashanta; Kinnunen, Juha
38
2022
Potential theory of quasiminimizers. Zbl 1035.31007
Kinnunen, Juha; Martio, Olli
32
2003
Unbounded supersolutions of nonlinear equations with nonstandard growth. Zbl 1161.35020
Harjulehto, Petteri; Kinnunen, Juha; Lukkari, Teemu
30
2007
Pointwise properties of functions of bounded variation in metric spaces. Zbl 1295.26012
Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli
29
2014
A characterization of Newtonian functions with zero boundary values. Zbl 1238.31008
Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli
26
2012
Harnack’s inequality for parabolic De Giorgi classes in metric spaces. Zbl 1255.30057
Kinnunen, Juha; Marola, Niko; Miranda, Michele jun.; Paronetto, Fabio
25
2012
Choquet property for the Sobolev capacity in metric spaces. Zbl 0992.46023
Kinnunen, Juha; Martio, Olli
23
2000
Relaxation and integral representation for functionals of linear growth on metric measure spaces. Zbl 1354.49027
Hakkarainen, Heikki; Kinnunen, Juha; Lahti, Panu; Lehtelä, Pekka
23
2016
Regularity of sets with quasiminimal boundary surfaces in metric spaces. Zbl 1311.49116
Kinnunen, Juha; Korte, Riikka; Lorent, Andrew; Shanmugalingam, Nageswari
22
2013
Definition and properties of supersolutions to the porous medium equation. Zbl 1188.35109
Kinnunen, Juha; Lindqvist, Peter
21
2008
Regularity of the local fractional maximal function. Zbl 1316.42019
Heikkinen, Toni; Kinnunen, Juha; Korvenpää, Janne; Tuominen, Heli
20
2015
Higher integrability for doubly nonlinear parabolic systems. Zbl 1462.35114
Bögelein, Verena; Duzaar, Frank; Kinnunen, Juha; Scheven, Christoph
20
2020
Oscillation estimates, self-improving results and good-\(\lambda\) inequalities. Zbl 1355.42014
Berkovits, Lauri; Kinnunen, Juha; Martell, José María
18
2016
The discrete maximal operator in metric spaces. Zbl 1210.42029
Aalto, Daniel; Kinnunen, Juha
18
2010
Stability for degenerate parabolic equations. Zbl 1185.35123
Kinnunen, Juha; Parviainen, Mikko
18
2010
Summability of semicontinuous supersolutions to a quasilinear parabolic equation. Zbl 1107.35070
Lindqvist, Peter; Kinnunen, Juha
17
2005
Pointwise behaviour of \(M^{1,1}\) Sobolev functions. Zbl 1128.46018
Kinnunen, Juha; Tuominen, Heli
16
2007
An existence result for superparabolic functions. Zbl 1184.35185
Kinnunen, Juha; Lukkari, Teemu; Parviainen, Mikko
16
2010
Sobolev space properties of superharmonic functions on metric spaces. Zbl 1042.31005
Kinnunen, Juha; Martio, Olli
16
2003
Polar sets on metric spaces. Zbl 1078.31008
Kinnunen, Juha; Shanmugalingam, Nageswari
15
2006
Sharp results on reverse Hölder inequalities. Zbl 0816.26008
Kinnunen, Juha
14
1994
Higher integrability with weights. Zbl 0816.26007
Kinnunen, Juha
14
1994
A stability result on Muckenhoupt’s weights. Zbl 0919.42015
Kinnunen, Juha
12
1998
Stability for parabolic quasiminimizers. Zbl 1327.35227
Fujishima, Yohei; Habermann, Jens; Kinnunen, Juha; Masson, Mathias
12
2014
Sharp inequalities for maximal functions associated with general measures. Zbl 0918.42010
Grafakos, L.; Kinnunen, J.
12
1998
Some local properties of subsolution and supersolutions for a doubly nonlinear nonlocal \(p\)-Laplace equation. Zbl 1495.35052
Banerjee, Agnid; Garain, Prashanta; Kinnunen, Juha
11
2022
Perron’s method for the porous medium equation. Zbl 1361.35079
Kinnunen, Juha; Lindqvist, Peter; Lukkari, Teemu
11
2016
Gehring’s lemma and reverse Hölder classes on metric measure spaces. Zbl 1308.42023
Kinnunen, Juha; Shukla, Parantap
11
2014
Mapping properties of the discrete fractional maximal operator in metric measure spaces. Zbl 1280.42012
Heikkinen, Toni; Kinnunen, Juha; Nuutinen, Juho; Tuominen, Heli
11
2013
Parabolic weighted norm inequalities and partial differential equations. Zbl 1351.42023
Kinnunen, Juha; Saari, Olli
10
2016
Characterizations for the Hardy inequality. Zbl 1185.26026
Kinnunen, Juha; Korte, Riikka
10
2010
Initial trace for a doubly nonlinear parabolic equation. Zbl 1237.35088
Ishige, Kazuhiro; Kinnunen, Juha
10
2011
How to recognize polynomials in higher order Sobolev spaces. Zbl 1283.46025
Bojarski, Bogdan; Ihnatsyeva, Lizaveta; Kinnunen, Juha
10
2013
Maximal function methods for Sobolev spaces. Zbl 1484.46002
Kinnunen, Juha; Lehrbäck, Juha; Vähäkangas, Antti
9
2021
Parabolic comparison principle and quasiminimizers in metric measure spaces. Zbl 1314.30123
Kinnunen, Juha; Masson, Mathias
9
2015
The De Giorgi measure and an obstacle problem related to minimal surfaces in metric spaces. Zbl 1211.49055
Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli
9
2010
Harnack’s principle for quasiminimizers. Zbl 1254.49010
Kinnunen, Juha; Marola, Niko; Martio, O.
9
2007
Nonexistence of variational minimizers related to a quasilinear singular problem in metric measure spaces. Zbl 1472.35204
Garain, Prashanta; Kinnunen, Juha
9
2021
Maximal functions in Sobolev spaces. Zbl 1171.42005
Aalto, Daniel; Kinnunen, Juha
8
2009
On weights satisfying parabolic Muckenhoupt conditions. Zbl 1341.42040
Kinnunen, Juha; Saari, Olli
8
2016
Regularity of minimizers of the area functional in metric spaces. Zbl 1305.49069
Hakkarainen, Heikki; Kinnunen, Juha; Lahti, Panu
8
2015
The structure of reverse Hölder classes on metric measure spaces. Zbl 1284.42071
Kinnunen, Juha; Shukla, Parantap
7
2014
Characterizations of Sobolev inequalities on metric spaces. Zbl 1154.46018
Kinnunen, Juha; Korte, Riikka
7
2008
Local approximation of superharmonic and superparabolic functions in nonlinear potential theory. Zbl 1280.35072
Kinnunen, Juha; Lukkari, Teemu; Parviainen, Mikko
7
2013
Unbounded supersolutions of some quasilinear parabolic equations: a dichotomy. Zbl 1332.35187
Kinnunen, Juha; Lindqvist, Peter
7
2016
Weak Harnack inequality for a mixed local and nonlocal parabolic equation. Zbl 1520.35022
Garain, Prashanta; Kinnunen, Juha
6
2023
Hardy-Littlewood type gradient estimates for quasiminimizers. Zbl 1205.35005
Kinnunen, J.; Kotilainen, M.; Latvala, V.
6
2010
Nonlinear parabolic capacity and polar sets of superparabolic functions. Zbl 1276.35111
Kinnunen, Juha; Korte, Riikka; Kuusi, Tuomo; Parviainen, Mikko
6
2013
Hölder quasicontinuity in variable exponent Sobolev spaces. Zbl 1132.46024
Harjulehto, Petteri; Kinnunen, Juha; Tuhkanen, Katja
5
2007
Fine regularity of superharmonic functions on metric spaces. Zbl 1046.31005
Kinnunen, Juha; Latvala, Visa
4
2003
Maximal function estimates and self-improvement results for Poincaré inequalities. Zbl 1409.42015
Kinnunen, Juha; Lehrbäck, Juha; Vähäkangas, Antti V.; Zhong, Xiao
4
2019
John-Nirenberg inequalities for parabolic BMO. Zbl 07758158
Kinnunen, Juha; Myyryläinen, Kim; Yang, Dachun
4
2023
The distance of \(L^{\infty}\) from BMO on metric measure spaces. Zbl 1355.42021
Kinnunen, Juha; Shukla, Parantap
4
2014
Maximal operator and superharmonicity. Zbl 0969.42008
Kinnunen, Juha; Martio, Olli
3
2000
Differentiation bases for Sobolev functions on metric spaces. Zbl 1074.46023
Harjulehto, Petteri; Kinnunen, Juha
3
2004
Dyadic John-Nirenberg space. Zbl 1512.42026
Kinnunen, Juha; Myyryläinen, Kim
3
2023
A median approach to differentiation bases. Zbl 1417.42022
Heikkinen, Toni; Kinnunen, Juha
3
2019
On the definition of solution to the total variation flow. Zbl 1483.35129
Kinnunen, Juha; Scheven, Christoph
3
2022
Lower semicontinuity and pointwise behavior of supersolutions for some doubly nonlinear nonlocal parabolic \(p\)-Laplace equations. Zbl 1521.35113
Banerjee, Agnid; Garain, Prashanta; Kinnunen, Juha
3
2023
A characterization of BMO self-maps of a metric measure space. Zbl 1326.30050
Kinnunen, Juha; Korte, Riikka; Marola, Niko; Shanmugalingam, Nageswari
3
2015
Supercaloric functions for the porous medium equation. Zbl 1414.35114
Kinnunen, Juha; Lehtelä, Pekka; Lindqvist, Peter; Parviainen, Mikko
2
2019
Gradient higher integrability for degenerate parabolic double-phase systems. Zbl 1521.35062
Kim, Wontae; Kinnunen, Juha; Moring, Kristian
2
2023
Characterizations of weak reverse Hölder inequalities on metric measure spaces. Zbl 1491.42036
Kinnunen, Juha; Kurki, Emma-Karoliina; Mudarra, Carlos
1
2022
Supercaloric functions for the parabolic \(p\)-Laplace equation in the fast diffusion case. Zbl 1465.35294
Giri, Ratan Kr.; Kinnunen, Juha; Moring, Kristian
1
2021
A note on very weak \(p\)-harmonic mappings. Zbl 0886.35029
Kinnunen, Juha; Zhou, Shulin
1
1997
Higher order Sobolev-type spaces on the real line. Zbl 1326.46028
Bojarski, Bogdan; Kinnunen, Juha; Zürcher, Thomas
1
2014
Resistance conditions and applications. Zbl 1286.46037
Kinnunen, Juha; Silvestre, Pilar
1
2013
Parabolic Muckenhoupt weights with time lag on spaces of homogeneous type with monotone geodesic property. Zbl 07834181
Kinnunen, Juha; Myyryläinen, Kim; Yang, Dachun; Zhu, Chenfeng
1
2024
Variational solutions to the total variation flow on metric measure spaces. Zbl 1492.30118
Buffa, Vito; Kinnunen, Juha; Camacho, Cintia Pacchiano
1
2022
Parabolic Muckenhoupt weights with time lag on spaces of homogeneous type with monotone geodesic property. Zbl 07834181
Kinnunen, Juha; Myyryläinen, Kim; Yang, Dachun; Zhu, Chenfeng
1
2024
Weak Harnack inequality for a mixed local and nonlocal parabolic equation. Zbl 1520.35022
Garain, Prashanta; Kinnunen, Juha
6
2023
John-Nirenberg inequalities for parabolic BMO. Zbl 07758158
Kinnunen, Juha; Myyryläinen, Kim; Yang, Dachun
4
2023
Dyadic John-Nirenberg space. Zbl 1512.42026
Kinnunen, Juha; Myyryläinen, Kim
3
2023
Lower semicontinuity and pointwise behavior of supersolutions for some doubly nonlinear nonlocal parabolic \(p\)-Laplace equations. Zbl 1521.35113
Banerjee, Agnid; Garain, Prashanta; Kinnunen, Juha
3
2023
Gradient higher integrability for degenerate parabolic double-phase systems. Zbl 1521.35062
Kim, Wontae; Kinnunen, Juha; Moring, Kristian
2
2023
On the regularity theory for mixed local and nonlocal quasilinear elliptic equations. Zbl 1496.35118
Garain, Prashanta; Kinnunen, Juha
38
2022
Some local properties of subsolution and supersolutions for a doubly nonlinear nonlocal \(p\)-Laplace equation. Zbl 1495.35052
Banerjee, Agnid; Garain, Prashanta; Kinnunen, Juha
11
2022
On the definition of solution to the total variation flow. Zbl 1483.35129
Kinnunen, Juha; Scheven, Christoph
3
2022
Characterizations of weak reverse Hölder inequalities on metric measure spaces. Zbl 1491.42036
Kinnunen, Juha; Kurki, Emma-Karoliina; Mudarra, Carlos
1
2022
Variational solutions to the total variation flow on metric measure spaces. Zbl 1492.30118
Buffa, Vito; Kinnunen, Juha; Camacho, Cintia Pacchiano
1
2022
Maximal function methods for Sobolev spaces. Zbl 1484.46002
Kinnunen, Juha; Lehrbäck, Juha; Vähäkangas, Antti
9
2021
Nonexistence of variational minimizers related to a quasilinear singular problem in metric measure spaces. Zbl 1472.35204
Garain, Prashanta; Kinnunen, Juha
9
2021
Supercaloric functions for the parabolic \(p\)-Laplace equation in the fast diffusion case. Zbl 1465.35294
Giri, Ratan Kr.; Kinnunen, Juha; Moring, Kristian
1
2021
Higher integrability for doubly nonlinear parabolic systems. Zbl 1462.35114
Bögelein, Verena; Duzaar, Frank; Kinnunen, Juha; Scheven, Christoph
20
2020
Maximal function estimates and self-improvement results for Poincaré inequalities. Zbl 1409.42015
Kinnunen, Juha; Lehrbäck, Juha; Vähäkangas, Antti V.; Zhong, Xiao
4
2019
A median approach to differentiation bases. Zbl 1417.42022
Heikkinen, Toni; Kinnunen, Juha
3
2019
Supercaloric functions for the porous medium equation. Zbl 1414.35114
Kinnunen, Juha; Lehtelä, Pekka; Lindqvist, Peter; Parviainen, Mikko
2
2019
Relaxation and integral representation for functionals of linear growth on metric measure spaces. Zbl 1354.49027
Hakkarainen, Heikki; Kinnunen, Juha; Lahti, Panu; Lehtelä, Pekka
23
2016
Oscillation estimates, self-improving results and good-\(\lambda\) inequalities. Zbl 1355.42014
Berkovits, Lauri; Kinnunen, Juha; Martell, José María
18
2016
Perron’s method for the porous medium equation. Zbl 1361.35079
Kinnunen, Juha; Lindqvist, Peter; Lukkari, Teemu
11
2016
Parabolic weighted norm inequalities and partial differential equations. Zbl 1351.42023
Kinnunen, Juha; Saari, Olli
10
2016
On weights satisfying parabolic Muckenhoupt conditions. Zbl 1341.42040
Kinnunen, Juha; Saari, Olli
8
2016
Unbounded supersolutions of some quasilinear parabolic equations: a dichotomy. Zbl 1332.35187
Kinnunen, Juha; Lindqvist, Peter
7
2016
Regularity of the local fractional maximal function. Zbl 1316.42019
Heikkinen, Toni; Kinnunen, Juha; Korvenpää, Janne; Tuominen, Heli
20
2015
Parabolic comparison principle and quasiminimizers in metric measure spaces. Zbl 1314.30123
Kinnunen, Juha; Masson, Mathias
9
2015
Regularity of minimizers of the area functional in metric spaces. Zbl 1305.49069
Hakkarainen, Heikki; Kinnunen, Juha; Lahti, Panu
8
2015
A characterization of BMO self-maps of a metric measure space. Zbl 1326.30050
Kinnunen, Juha; Korte, Riikka; Marola, Niko; Shanmugalingam, Nageswari
3
2015
Pointwise properties of functions of bounded variation in metric spaces. Zbl 1295.26012
Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli
29
2014
Stability for parabolic quasiminimizers. Zbl 1327.35227
Fujishima, Yohei; Habermann, Jens; Kinnunen, Juha; Masson, Mathias
12
2014
Gehring’s lemma and reverse Hölder classes on metric measure spaces. Zbl 1308.42023
Kinnunen, Juha; Shukla, Parantap
11
2014
The structure of reverse Hölder classes on metric measure spaces. Zbl 1284.42071
Kinnunen, Juha; Shukla, Parantap
7
2014
The distance of \(L^{\infty}\) from BMO on metric measure spaces. Zbl 1355.42021
Kinnunen, Juha; Shukla, Parantap
4
2014
Higher order Sobolev-type spaces on the real line. Zbl 1326.46028
Bojarski, Bogdan; Kinnunen, Juha; Zürcher, Thomas
1
2014
Regularity of sets with quasiminimal boundary surfaces in metric spaces. Zbl 1311.49116
Kinnunen, Juha; Korte, Riikka; Lorent, Andrew; Shanmugalingam, Nageswari
22
2013
Mapping properties of the discrete fractional maximal operator in metric measure spaces. Zbl 1280.42012
Heikkinen, Toni; Kinnunen, Juha; Nuutinen, Juho; Tuominen, Heli
11
2013
How to recognize polynomials in higher order Sobolev spaces. Zbl 1283.46025
Bojarski, Bogdan; Ihnatsyeva, Lizaveta; Kinnunen, Juha
10
2013
Local approximation of superharmonic and superparabolic functions in nonlinear potential theory. Zbl 1280.35072
Kinnunen, Juha; Lukkari, Teemu; Parviainen, Mikko
7
2013
Nonlinear parabolic capacity and polar sets of superparabolic functions. Zbl 1276.35111
Kinnunen, Juha; Korte, Riikka; Kuusi, Tuomo; Parviainen, Mikko
6
2013
Resistance conditions and applications. Zbl 1286.46037
Kinnunen, Juha; Silvestre, Pilar
1
2013
A characterization of Newtonian functions with zero boundary values. Zbl 1238.31008
Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli
26
2012
Harnack’s inequality for parabolic De Giorgi classes in metric spaces. Zbl 1255.30057
Kinnunen, Juha; Marola, Niko; Miranda, Michele jun.; Paronetto, Fabio
25
2012
Initial trace for a doubly nonlinear parabolic equation. Zbl 1237.35088
Ishige, Kazuhiro; Kinnunen, Juha
10
2011
The BV-capacity in metric spaces. Zbl 1194.28001
Hakkarainen, Heikki; Kinnunen, Juha
42
2010
The discrete maximal operator in metric spaces. Zbl 1210.42029
Aalto, Daniel; Kinnunen, Juha
18
2010
Stability for degenerate parabolic equations. Zbl 1185.35123
Kinnunen, Juha; Parviainen, Mikko
18
2010
An existence result for superparabolic functions. Zbl 1184.35185
Kinnunen, Juha; Lukkari, Teemu; Parviainen, Mikko
16
2010
Characterizations for the Hardy inequality. Zbl 1185.26026
Kinnunen, Juha; Korte, Riikka
10
2010
The De Giorgi measure and an obstacle problem related to minimal surfaces in metric spaces. Zbl 1211.49055
Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli
9
2010
Hardy-Littlewood type gradient estimates for quasiminimizers. Zbl 1205.35005
Kinnunen, J.; Kotilainen, M.; Latvala, V.
6
2010
Maximal functions in Sobolev spaces. Zbl 1171.42005
Aalto, Daniel; Kinnunen, Juha
8
2009
Lebesgue points and capacities via boxing inequality in metric spaces. Zbl 1146.46018
Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli
48
2008
Definition and properties of supersolutions to the porous medium equation. Zbl 1188.35109
Kinnunen, Juha; Lindqvist, Peter
21
2008
Characterizations of Sobolev inequalities on metric spaces. Zbl 1154.46018
Kinnunen, Juha; Korte, Riikka
7
2008
Local behaviour of solutions to doubly nonlinear parabolic equations. Zbl 1114.35035
Kinnunen, Juha; Kuusi, Tuomo
49
2007
Unbounded supersolutions of nonlinear equations with nonstandard growth. Zbl 1161.35020
Harjulehto, Petteri; Kinnunen, Juha; Lukkari, Teemu
30
2007
Pointwise behaviour of \(M^{1,1}\) Sobolev functions. Zbl 1128.46018
Kinnunen, Juha; Tuominen, Heli
16
2007
Harnack’s principle for quasiminimizers. Zbl 1254.49010
Kinnunen, Juha; Marola, Niko; Martio, O.
9
2007
Hölder quasicontinuity in variable exponent Sobolev spaces. Zbl 1132.46024
Harjulehto, Petteri; Kinnunen, Juha; Tuhkanen, Katja
5
2007
Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation. Zbl 1232.35080
Kinnunen, Juha; Lindqvist, Peter
73
2006
Polar sets on metric spaces. Zbl 1078.31008
Kinnunen, Juha; Shanmugalingam, Nageswari
15
2006
Summability of semicontinuous supersolutions to a quasilinear parabolic equation. Zbl 1107.35070
Lindqvist, Peter; Kinnunen, Juha
17
2005
Differentiation bases for Sobolev functions on metric spaces. Zbl 1074.46023
Harjulehto, Petteri; Kinnunen, Juha
3
2004
Regularity of the fractional maximal function. Zbl 1021.42009
Kinnunen, Juha; Saksman, Eero
97
2003
Potential theory of quasiminimizers. Zbl 1035.31007
Kinnunen, Juha; Martio, Olli
32
2003
Sobolev space properties of superharmonic functions on metric spaces. Zbl 1042.31005
Kinnunen, Juha; Martio, Olli
16
2003
Fine regularity of superharmonic functions on metric spaces. Zbl 1046.31005
Kinnunen, Juha; Latvala, Visa
4
2003
Nonlinear potential theory of metric spaces. Zbl 1030.46040
Kinnunen, Juha; Martio, Olli
60
2002
Very weak solutions of parabolic systems of \(p\)-Laplacian type. Zbl 1011.35039
Kinnunen, Juha; Lewis, John L.
49
2002
Lebesgue points for Sobolev functions on metric spaces. Zbl 1037.46031
Kinnunen, Juha; Latvala, Visa
48
2002
Regularity of quasi-minimizers on metric spaces. Zbl 1006.49027
Kinnunen, Juha; Shanmugalingam, Nageswari
124
2001
A boundary estimate for nonlinear equations with discontinuous coefficients. Zbl 1161.35394
Kinnunen, Juha; Zhou, Shulin
54
2001
Higher integrability for parabolic systems of \(p\)-Laplacian type. Zbl 0994.35036
Kinnunen, Juha; Lewis, John L.
127
2000
Sobolev spaces with zero boundary values on metric spaces. Zbl 0962.46021
Kilpeläinen, Tero; Kinnunen, Juha; Martio, Olli
61
2000
Choquet property for the Sobolev capacity in metric spaces. Zbl 0992.46023
Kinnunen, Juha; Martio, Olli
23
2000
Maximal operator and superharmonicity. Zbl 0969.42008
Kinnunen, Juha; Martio, Olli
3
2000
A local estimate for nonlinear equations with discontinuous coefficients. Zbl 0941.35026
Kinnunen, Juha; Zhou, Shulin
134
1999
The derivative of the maximal function. Zbl 0904.42015
Kinnunen, Juha; Lindqvist, Peter
80
1998
Hölder quasicontinuity of Sobolev functions on metric spaces. Zbl 1155.46306
Hajłasz, Piotr; Kinnunen, Juha
56
1998
A stability result on Muckenhoupt’s weights. Zbl 0919.42015
Kinnunen, Juha
12
1998
Sharp inequalities for maximal functions associated with general measures. Zbl 0918.42010
Grafakos, L.; Kinnunen, J.
12
1998
The Hardy-Littlewood maximal function of a Sobolev function. Zbl 0882.43003
Kinnunen, Juha
118
1997
Hardy’s inequalities for Sobolev functions. Zbl 0909.42014
Kinnunen, Juha; Martio, Olli
41
1997
A note on very weak \(p\)-harmonic mappings. Zbl 0886.35029
Kinnunen, Juha; Zhou, Shulin
1
1997
The Sobolev capacity on metric spaces. Zbl 0859.46023
Kinnunen, Juha; Martio, Olli
73
1996
Sharp results on reverse Hölder inequalities. Zbl 0816.26008
Kinnunen, Juha
14
1994
Higher integrability with weights. Zbl 0816.26007
Kinnunen, Juha
14
1994
all top 5

Cited by 812 Authors

58 Kinnunen, Juha
45 Shanmugalingam, Nageswari
41 Byun, Sun-Sig
39 Liu, Feng
37 Björn, Anders
36 Lahti, Panu
35 Björn, Jana
35 Bögelein, Verena
30 Yao, Fengping
28 Duzaar, Frank
28 Korte, Riikka
26 Parviainen, Mikko
24 Mingione, Giuseppe
23 Kuusi, Tuomo
20 Scheven, Christoph
18 Lukkari, Teemu
17 Tuominen, Heli
17 Yang, Dachun
16 Marola, Niko
15 Zhang, Chao
14 Garain, Prashanta
13 Harjulehto, Petteri
13 Lehrbäck, Juha
13 Schwarzacher, Sebastian
12 Koskela, Pekka
12 Saari, Olli
11 Adimurthi, Karthik
11 Diening, Lars
11 Hästö, Peter A.
11 Latvala, Visa
11 Lindqvist, Peter
11 Ok, Jihoon
11 Xue, Qingying
11 Zheng, Shenzhou
10 Zhou, Shulin
9 Liu, Yu
9 Misawa, Masashi
9 Nguyen, Thanh-Nhan
9 Tran, Minh Phuong
8 Adamowicz, Tomasz
8 Carneiro, Emanuel
8 Eriksson-Bique, Sylvester
8 González-Riquelme, Cristian
8 Hajłasz, Piotr
8 Heikkinen, Toni
8 Kim, Wontae
8 Madrid, José A. Jiménez
8 Nakamura, Kenta
8 Phan, Tuoc Van
8 Schätzler, Leah
8 Singer, Thomas
8 Vähäkangas, Antti V.
8 Wang, Lihe
7 Baroni, Paolo
7 Liao, Naian
7 Marcellini, Paolo
7 Martio, Olli
7 Masson, Mathias
7 Mengesha, Tadele
7 Myyryläinen, Kim
7 Nguyen Cong Phuc
7 Park, Jung-Tae
7 Shimomura, Tetsu
7 Wu, Huoxiong
7 Yuan, Wen
7 Zhang, Xiao
6 Biagi, Stefano
6 Bulíček, Miroslav
6 Górka, Przemysław
6 Habermann, Jens
6 Hakkarainen, Heikki
6 Ishige, Kazuhiro
6 Krotov, Veniamin Grigor’evich
6 Moring, Kristian
6 Oh, Jehan
6 Palatucci, Giampiero
6 Pérez, Carlos
6 Rela, Ezequiel
6 Vecchi, Eugenio
6 Xiao, Jie
5 Avelin, Benny
5 di Castro, Agnese
5 Fujishima, Yohei
5 Gianazza, Ugo Pietro
5 Gigli, Nicola
5 Herán, Andreas
5 Lehtelä, Pekka
5 Li, Qifan
5 Miranda, Michele jun.
5 Mugnai, Dimitri
5 Pacchiano Camacho, Cintia
5 Peral Alonso, Ireneo
5 Prokhorovich, Mikhail Aleksandrovich
5 Romanov, Aleksandr Sergeevich
5 Shang, Bin
5 Siljander, Juhana
5 Tao, Jin
5 Ukhlov, Alexander Dadar-Oolovich
5 Vespri, Vincenzo Riccardo
5 Wang, Guoru
...and 712 more Authors
all top 5

Cited in 197 Serials

76 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
61 Journal of Mathematical Analysis and Applications
53 Calculus of Variations and Partial Differential Equations
50 Journal of Functional Analysis
49 Journal of Differential Equations
30 Proceedings of the American Mathematical Society
29 Potential Analysis
28 The Journal of Geometric Analysis
24 Annali di Matematica Pura ed Applicata. Serie Quarta
24 Journal de Mathématiques Pures et Appliquées. Neuvième Série
20 Manuscripta Mathematica
20 Advances in Calculus of Variations
19 Mathematische Zeitschrift
18 Mathematische Annalen
16 NoDEA. Nonlinear Differential Equations and Applications
15 Revista Matemática Iberoamericana
15 Journal of Evolution Equations
14 Journal d’Analyse Mathématique
14 Transactions of the American Mathematical Society
13 Advances in Mathematics
13 Mathematische Nachrichten
12 Annales Academiae Scientiarum Fennicae. Mathematica
10 Results in Mathematics
9 Archive for Rational Mechanics and Analysis
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Analysis and Mathematical Physics
9 Analysis and Geometry in Metric Spaces
8 Mathematical Methods in the Applied Sciences
8 Ricerche di Matematica
8 SIAM Journal on Mathematical Analysis
8 Annales Fennici Mathematici
7 Journal für die Reine und Angewandte Mathematik
7 Mathematical Inequalities & Applications
7 Revista Matemática Complutense
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
6 Israel Journal of Mathematics
6 Collectanea Mathematica
6 Czechoslovak Mathematical Journal
6 Siberian Mathematical Journal
6 Communications in Contemporary Mathematics
6 Communications on Pure and Applied Analysis
6 Banach Journal of Mathematical Analysis
6 Advances in Nonlinear Analysis
5 Bulletin of the Australian Mathematical Society
5 Mathematical Notes
5 Rocky Mountain Journal of Mathematics
5 Arkiv för Matematik
5 Forum Mathematicum
5 The Journal of Fourier Analysis and Applications
5 Nonlinear Analysis. Real World Applications
5 Acta Mathematica Scientia. Series B. (English Edition)
5 Mediterranean Journal of Mathematics
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Journal of Function Spaces
5 Journal of Elliptic and Parabolic Equations
4 Studia Mathematica
4 Archiv der Mathematik
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
4 Journal of Inequalities and Applications
4 Journal of the European Mathematical Society (JEMS)
4 Advanced Nonlinear Studies
4 Journal of Mathematical Inequalities
3 Nonlinearity
3 Bulletin of the London Mathematical Society
3 Indiana University Mathematics Journal
3 Journal of the Mathematical Society of Japan
3 Memoirs of the American Mathematical Society
3 Michigan Mathematical Journal
3 Tôhoku Mathematical Journal. Second Series
3 Applied Mathematics Letters
3 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
3 Communications in Partial Differential Equations
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Georgian Mathematical Journal
3 Taiwanese Journal of Mathematics
3 Journal of Mathematical Fluid Mechanics
3 Acta Mathematica Sinica. English Series
3 Complex Variables and Elliptic Equations
3 Journal of Fixed Point Theory and Applications
3 Science China. Mathematics
2 Analysis Mathematica
2 Communications in Mathematical Physics
2 Annales de l’Institut Fourier
2 Annales Polonici Mathematici
2 Applied Mathematics and Optimization
2 Journal of Approximation Theory
2 Journal of the London Mathematical Society. Second Series
2 Mathematica Slovaca
2 Monatshefte für Mathematik
2 SIAM Journal on Numerical Analysis
2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
2 Bulletin of the Korean Mathematical Society
2 Publicacions Matemàtiques
2 International Journal of Mathematics
2 Bulletin of the American Mathematical Society. New Series
2 Expositiones Mathematicae
2 Russian Mathematics
2 Journal of Mathematical Sciences (New York)
2 Bulletin des Sciences Mathématiques
2 Discrete and Continuous Dynamical Systems
...and 97 more Serials
all top 5

Cited in 47 Fields

578 Partial differential equations (35-XX)
323 Functional analysis (46-XX)
217 Harmonic analysis on Euclidean spaces (42-XX)
174 Potential theory (31-XX)
136 Functions of a complex variable (30-XX)
131 Real functions (26-XX)
103 Calculus of variations and optimal control; optimization (49-XX)
52 Operator theory (47-XX)
44 Measure and integration (28-XX)
37 Differential geometry (53-XX)
23 Global analysis, analysis on manifolds (58-XX)
16 Fluid mechanics (76-XX)
15 Abstract harmonic analysis (43-XX)
12 Probability theory and stochastic processes (60-XX)
11 Difference and functional equations (39-XX)
9 Combinatorics (05-XX)
9 General topology (54-XX)
8 Several complex variables and analytic spaces (32-XX)
6 Numerical analysis (65-XX)
5 Integral equations (45-XX)
5 Optics, electromagnetic theory (78-XX)
4 Topological groups, Lie groups (22-XX)
4 Geometry (51-XX)
4 Convex and discrete geometry (52-XX)
3 Ordinary differential equations (34-XX)
3 Approximations and expansions (41-XX)
3 Mechanics of deformable solids (74-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Computer science (68-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Biology and other natural sciences (92-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Group theory and generalizations (20-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Relativity and gravitational theory (83-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year