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Kilpeläinen, Tero

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Author ID: kilpelainen.tero Recent zbMATH articles by "Kilpeläinen, Tero"
Published as: Kilpeläinen, Tero; Kilpeläinen, T.; Kilpeläınen, Tero; Kipeläinen, Tero
External Links: MGP · Wikidata
Documents Indexed: 57 Publications since 1985, including 5 Books

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 1,627 times in 1,177 Documents Cited by Year
Nonlinear potential theory of degenerate elliptic equations. Zbl 0780.31001
Heinonen, Juha; Kilpeläinen, Tero; Martio, Olli
561
1993
Nonlinear potential theory of degenerate elliptic equations. Unabridged republication of the 1993 original. Zbl 1115.31001
Heinonen, Juha; Kilpeläinen, Tero; Martio, Olli
184
2006
The Wiener test and potential estimates for quasilinear elliptic equations. Zbl 0820.35063
Kilpeläinen, Tero; Malý, Jan
180
1994
Degenerate elliptic equations with measure data and nonlinear potentials. Zbl 0797.35052
Kilpeläinen, Tero; Malý, Jan
87
1992
Global integrability of the gradients of solutions to partial differential equations. Zbl 0820.35064
Kilpeläinen, T.; Koskela, P.
48
1994
On the Dirichlet boundary value problem for a degenerate parabolic equation. Zbl 0857.35071
Kilpeläinen, T.; Lindqvist, P.
47
1996
Sobolev spaces with zero boundary values on metric spaces. Zbl 0962.46021
Kipeläinen, Tero; Kinnunen, Juha; Martio, Olli
46
2000
Sobolev inequalities on sets with irregular boundaries. Zbl 0959.46020
Kilpeläinen, T.; Malý, J.
46
2000
Weighted Sobolev spaces and capacity. Zbl 0801.46037
Kilpeläinen, Tero
42
1994
Boundary Harnack principle for \(p\)-harmonic functions in smooth Euclidean domains. Zbl 1121.35060
Aikawa, Hiroaki; Kilpeläinen, Tero; Shanmugalingam, Nageswari; Zhong, Xiao
35
2007
Removable sets for continuous solutions of quasilinear elliptic equations. Zbl 1027.35032
Kilpeläinen, Tero; Zhong, Xiao
33
2002
Superharmonic functions are locally renormalized solutions. Zbl 1234.35121
Kilpeläinen, Tero; Kuusi, Tuomo; Tuhola-Kujanpää, Anna
32
2011
On the porosity of free boundaries in degenerate variational inequalities. Zbl 0956.35054
Karp, L.; Kilpeläinen, T.; Petrosyan, A.; Shahgholian, H.
26
2000
A-superharmonic functions and supersolutions of degenerate elliptic equations. Zbl 0652.31006
Heinonen, Juha; Kilpeläinen, Tero
25
1988
Potential theory for supersolutions of degenerate elliptic equations. Zbl 0688.31005
Kilpeläinen, T.
23
1989
Supersolutions to degenerate elliptic equations on quasi open sets. Zbl 0781.31009
Kilpeläinen, Tero; Malý, Jan
19
1992
A remark on the uniqueness of quasi continuous functions. Zbl 0919.31006
Kilpeläinen, Tero
19
1998
Hölder continuity of solutions to quasilinear elliptic equations involving measures. Zbl 0813.35016
Kilpeläinen, Tero
19
1994
Growth of entire \({\mathcal A}\)-subharmonic functions. Zbl 1018.35027
Kilpeläinen, Tero; Zhong, Xiao
16
2003
Estimates for \(p\)-Poisson equations. Zbl 0970.35035
Kilpeläinen, Tero; Li, Gongbao
14
2000
Harmonic morphisms in nonlinear potential theory. Zbl 0776.31007
Heinonen, J.; Kilpeläinen, T.; Martio, O.
13
1992
Pointwise regularity of solutions to nonlinear double obstacle problems. Zbl 0733.35025
Kilpeläinen, Tero; Ziemer, William P.
12
1991
Smooth approximation in weighted Sobolev spaces. Zbl 0886.46035
Kilpeläinen, T.
12
1997
Polar sets for supersolutions of degenerate elliptic equations. Zbl 0706.31015
Heinonen, Juha; Kilpeläinen, Tero
11
1988
On the Wiener criterion and quasilinear obstacle problems. Zbl 0711.35052
Heinonen, Juha; Kilpeläinen, Tero
9
1988
Growth estimates through scaling for quasilinear partial differential equations. Zbl 1192.35070
Kilpeläinen, Tero; Shahgholian, Henrik; Zhong, Xiao
8
2007
Fine topology and quasilinear elliptic equations. Zbl 0659.35038
Heinonen, J.; Kilpeläinen, T.; Martio, O.
7
1989
Singular solutions to \(p\)-Laplacian type equations. Zbl 1018.35028
Kilpeläinen, Tero
7
1999
BLD-mappings in \(W^{2,2}\) are locally invertible. Zbl 0967.30015
Heinonen, Juha; Kilpeläinen, Tero
6
2000
Generalized Dirichlet problem in nonlinear potential theory. Zbl 0698.31008
Kilpeläinen, Tero; Malý, Jan
5
1989
Connectedness in fine topologies. Zbl 0715.31005
Heinonen, J.; Kilpeläinen, T.; Malý, J.
5
1990
Nonlinear ground states in irregular domains. Zbl 0961.35062
Kilpeläinen, Tero; Lindqvist, Peter
5
2000
On the uniqueness problem for quasilinear elliptic equations involving measures. Zbl 0858.35037
Kilpeläinen, Tero; Xu, Xiangsheng
5
1996
\(p\)-Laplacian type equations involving measures. Zbl 1136.35366
Kilpeläinen, T.
4
2002
On the stability of Sobolev spaces with zero boundary values. Zbl 0962.46018
Hedberg, Lars Inge; Kilpeläinen, Tero
4
1999
Harmonie Hardy-Orlicz spaces. Zbl 1272.31010
Kilpeläinen, Tero; Koskela, Pekka; Masaoka, Hiroaki
2
2013
Lattice property of \(p\)-admissible weights. Zbl 1337.46026
Kilpeläinen, Tero; Koskela, Pekka; Masaoka, Hiroaki
2
2015
Papers on analysis: a volume dedicated to Olli Martio on the occasion of his 60th birthday. Zbl 0980.00050
Heinonen, J. (ed.); Kilpeläinen, T. (ed.); Koskela, P. (ed.)
2
2001
On the fusion problem for degenerate elliptic equations. Zbl 0824.35040
Kilpeläinen, T.; Koskela, P.; Martio, O.
1
1995
Nonlinear potential theory and PDEs. Partially reprinted from the journal Potential Analysis 3, No. 1 (1994). Zbl 0925.35059
Kilpeläinen, Tero
1
1994
A Radó type theorem for \(p\)-harmonic functions in the plane. Zbl 0809.31005
Kilpeläinen, Tero
1
1994
A remark on uniqueness of solutions to the Dirichlet problem. Zbl 1008.31005
Kilpeläinen, Tero
1
2001
The Lavrentiev phenomenon and the obstacle problem for the Dirichlet integral. Zbl 0832.49006
Kilpeläinen, T.; Lindqvist, P.
1
1995
Maximal regularity via reverse Hölder inequalities for elliptic systems of \(n\)-Laplace type involving measures. Zbl 1158.35355
Kilpeläinen, Tero; Shanmugalingam, Nageswari; Zhong, Xiao
1
2008
Lattice property of \(p\)-admissible weights. Zbl 1337.46026
Kilpeläinen, Tero; Koskela, Pekka; Masaoka, Hiroaki
2
2015
Harmonie Hardy-Orlicz spaces. Zbl 1272.31010
Kilpeläinen, Tero; Koskela, Pekka; Masaoka, Hiroaki
2
2013
Superharmonic functions are locally renormalized solutions. Zbl 1234.35121
Kilpeläinen, Tero; Kuusi, Tuomo; Tuhola-Kujanpää, Anna
32
2011
Maximal regularity via reverse Hölder inequalities for elliptic systems of \(n\)-Laplace type involving measures. Zbl 1158.35355
Kilpeläinen, Tero; Shanmugalingam, Nageswari; Zhong, Xiao
1
2008
Boundary Harnack principle for \(p\)-harmonic functions in smooth Euclidean domains. Zbl 1121.35060
Aikawa, Hiroaki; Kilpeläinen, Tero; Shanmugalingam, Nageswari; Zhong, Xiao
35
2007
Growth estimates through scaling for quasilinear partial differential equations. Zbl 1192.35070
Kilpeläinen, Tero; Shahgholian, Henrik; Zhong, Xiao
8
2007
Nonlinear potential theory of degenerate elliptic equations. Unabridged republication of the 1993 original. Zbl 1115.31001
Heinonen, Juha; Kilpeläinen, Tero; Martio, Olli
184
2006
Growth of entire \({\mathcal A}\)-subharmonic functions. Zbl 1018.35027
Kilpeläinen, Tero; Zhong, Xiao
16
2003
Removable sets for continuous solutions of quasilinear elliptic equations. Zbl 1027.35032
Kilpeläinen, Tero; Zhong, Xiao
33
2002
\(p\)-Laplacian type equations involving measures. Zbl 1136.35366
Kilpeläinen, T.
4
2002
Papers on analysis: a volume dedicated to Olli Martio on the occasion of his 60th birthday. Zbl 0980.00050
Heinonen, J.; Kilpeläinen, T.; Koskela, P.
2
2001
A remark on uniqueness of solutions to the Dirichlet problem. Zbl 1008.31005
Kilpeläinen, Tero
1
2001
Sobolev spaces with zero boundary values on metric spaces. Zbl 0962.46021
Kipeläinen, Tero; Kinnunen, Juha; Martio, Olli
46
2000
Sobolev inequalities on sets with irregular boundaries. Zbl 0959.46020
Kilpeläinen, T.; Malý, J.
46
2000
On the porosity of free boundaries in degenerate variational inequalities. Zbl 0956.35054
Karp, L.; Kilpeläinen, T.; Petrosyan, A.; Shahgholian, H.
26
2000
Estimates for \(p\)-Poisson equations. Zbl 0970.35035
Kilpeläinen, Tero; Li, Gongbao
14
2000
BLD-mappings in \(W^{2,2}\) are locally invertible. Zbl 0967.30015
Heinonen, Juha; Kilpeläinen, Tero
6
2000
Nonlinear ground states in irregular domains. Zbl 0961.35062
Kilpeläinen, Tero; Lindqvist, Peter
5
2000
Singular solutions to \(p\)-Laplacian type equations. Zbl 1018.35028
Kilpeläinen, Tero
7
1999
On the stability of Sobolev spaces with zero boundary values. Zbl 0962.46018
Hedberg, Lars Inge; Kilpeläinen, Tero
4
1999
A remark on the uniqueness of quasi continuous functions. Zbl 0919.31006
Kilpeläinen, Tero
19
1998
Smooth approximation in weighted Sobolev spaces. Zbl 0886.46035
Kilpeläinen, T.
12
1997
On the Dirichlet boundary value problem for a degenerate parabolic equation. Zbl 0857.35071
Kilpeläinen, T.; Lindqvist, P.
47
1996
On the uniqueness problem for quasilinear elliptic equations involving measures. Zbl 0858.35037
Kilpeläinen, Tero; Xu, Xiangsheng
5
1996
On the fusion problem for degenerate elliptic equations. Zbl 0824.35040
Kilpeläinen, T.; Koskela, P.; Martio, O.
1
1995
The Lavrentiev phenomenon and the obstacle problem for the Dirichlet integral. Zbl 0832.49006
Kilpeläinen, T.; Lindqvist, P.
1
1995
The Wiener test and potential estimates for quasilinear elliptic equations. Zbl 0820.35063
Kilpeläinen, Tero; Malý, Jan
180
1994
Global integrability of the gradients of solutions to partial differential equations. Zbl 0820.35064
Kilpeläinen, T.; Koskela, P.
48
1994
Weighted Sobolev spaces and capacity. Zbl 0801.46037
Kilpeläinen, Tero
42
1994
Hölder continuity of solutions to quasilinear elliptic equations involving measures. Zbl 0813.35016
Kilpeläinen, Tero
19
1994
Nonlinear potential theory and PDEs. Partially reprinted from the journal Potential Analysis 3, No. 1 (1994). Zbl 0925.35059
Kilpeläinen, Tero
1
1994
A Radó type theorem for \(p\)-harmonic functions in the plane. Zbl 0809.31005
Kilpeläinen, Tero
1
1994
Nonlinear potential theory of degenerate elliptic equations. Zbl 0780.31001
Heinonen, Juha; Kilpeläinen, Tero; Martio, Olli
561
1993
Degenerate elliptic equations with measure data and nonlinear potentials. Zbl 0797.35052
Kilpeläinen, Tero; Malý, Jan
87
1992
Supersolutions to degenerate elliptic equations on quasi open sets. Zbl 0781.31009
Kilpeläinen, Tero; Malý, Jan
19
1992
Harmonic morphisms in nonlinear potential theory. Zbl 0776.31007
Heinonen, J.; Kilpeläinen, T.; Martio, O.
13
1992
Pointwise regularity of solutions to nonlinear double obstacle problems. Zbl 0733.35025
Kilpeläinen, Tero; Ziemer, William P.
12
1991
Connectedness in fine topologies. Zbl 0715.31005
Heinonen, J.; Kilpeläinen, T.; Malý, J.
5
1990
Potential theory for supersolutions of degenerate elliptic equations. Zbl 0688.31005
Kilpeläinen, T.
23
1989
Fine topology and quasilinear elliptic equations. Zbl 0659.35038
Heinonen, J.; Kilpeläinen, T.; Martio, O.
7
1989
Generalized Dirichlet problem in nonlinear potential theory. Zbl 0698.31008
Kilpeläinen, Tero; Malý, Jan
5
1989
A-superharmonic functions and supersolutions of degenerate elliptic equations. Zbl 0652.31006
Heinonen, Juha; Kilpeläinen, Tero
25
1988
Polar sets for supersolutions of degenerate elliptic equations. Zbl 0706.31015
Heinonen, Juha; Kilpeläinen, Tero
11
1988
On the Wiener criterion and quasilinear obstacle problems. Zbl 0711.35052
Heinonen, Juha; Kilpeläinen, Tero
9
1988
all top 5

Cited by 978 Authors

42 Björn, Anders
41 Björn, Jana
32 Mingione, Giuseppe
30 Kuusi, Tuomo
30 Shanmugalingam, Nageswari
23 Byun, Sun-Sig
23 Martio, Olli
20 Kinnunen, Juha
19 Kilpeläinen, Tero
19 Koskela, Pekka
19 Parviainen, Mikko
18 Besov, Oleg Vladimirovich
17 Xiao, Jie
16 Lewis, John L.
15 Cianchi, Andrea
15 Ding, Shusen
15 Lukkari, Teemu
15 Verbitsky, Igor E.
14 Heinonen, Juha
14 Holopainen, Ilkka
14 Nyström, Kaj
14 Skrypnik, Igor Igorievich
13 Marola, Niko
12 Harjulehto, Petteri
12 Miklyukov, Vladimir Mikhaiĭlovich
11 Lahti, Panu
11 Maz’ya, Vladimir Gilelevich
11 Nguyen Cong Phuc
10 Avelin, Benny
10 Bucur, Dorin
10 Gol’dshtein, Vladimir Mikhailovich
10 Korte, Riikka
10 Lyaghfouri, Abdeslem
10 Manfredi, Juan J.
10 Mizuta, Yoshihiro
10 Onninen, Jani
10 Ryazanov, Vladimir Il’ich
10 Shimomura, Tetsu
10 Vuorinen, Matti Keijo Kustaa
9 Adamowicz, Tomasz
9 Bao, Gejun
9 Cavalheiro, Albo Carlos
9 Dal Maso, Gianni
9 Iwaniec, Tadeusz
9 Scheven, Christoph
9 Vodop’yanov, Sergeĭ Konstantinovich
8 Akman, Murat
8 Hofmann, Steve
8 Jiang, Renjin
8 Lindqvist, Peter
8 Rodríguez García, José Manuel
8 Ukhlov, Alexander Dadar-Oolovich
8 Vogel, Andrew L.
8 Xing, Yuming
7 Gianazza, Ugo Pietro
7 Hästö, Peter A.
7 Hirata, Kentaro
7 Latvala, Visa
7 Lehrbäck, Juha
7 Lei, Yutian
7 Montoro, Luigi
7 Nakai, Mitsuru
7 Ryu, Seungjin
7 Surnachëv, Mikhaĭl Dmitrievich
7 Tuominen, Heli
6 Aikawa, Hiroaki
6 Baroni, Paolo
6 Challal, Samia
6 Chlebicka, Iwona
6 Duzaar, Frank
6 Gutlyanskiĭ, Vladimir Ya.
6 Hara, Takanobu
6 Hurri-Syrjānen, Ritva
6 Martell, José María (Chema)
6 Otárola, Enrique
6 Palatucci, Giampiero
6 Pankka, Pekka
6 Rajala, Kai
6 Shahgholian, Henrik
6 Vähäkangas, Antti V.
6 Zheng, Jun
5 Abdou, Afrah Ahmad Noan
5 Alkhutov, Yuriy Alexandrovich
5 Bögelein, Verena
5 Carl, Siegfried
5 Gao, Hongya
5 Guo, Changyu
5 Guo, Yuxia
5 Khamsi, Mohamed Amine
5 Liskevich, Vitaliĭ A.
5 Liu, Jiaquan
5 Lundström, Niklas L. P.
5 Malý, Jan
5 Nguyen, Thanh-Nhan
5 Peral Alonso, Ireneo
5 Pigola, Stefano
5 Pinchover, Yehuda
5 Pokrovskii, Andrei Vladimirovich
5 Salgado, Abner J.
5 Schwarzacher, Sebastian
...and 878 more Authors
all top 5

Cited in 213 Serials

96 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
73 Journal of Mathematical Analysis and Applications
55 Journal of Differential Equations
53 Calculus of Variations and Partial Differential Equations
48 Potential Analysis
38 Journal of Functional Analysis
34 Proceedings of the American Mathematical Society
31 Transactions of the American Mathematical Society
25 Annali di Matematica Pura ed Applicata. Serie Quarta
20 The Journal of Geometric Analysis
19 Advances in Mathematics
19 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
18 Manuscripta Mathematica
18 Mathematische Annalen
17 Journal d’Analyse Mathématique
15 Archive for Rational Mechanics and Analysis
15 Journal de Mathématiques Pures et Appliquées. Neuvième Série
15 NoDEA. Nonlinear Differential Equations and Applications
14 Mathematische Zeitschrift
14 Journal of Mathematical Sciences (New York)
13 Doklady Mathematics
12 Journal of Inequalities and Applications
12 Communications on Pure and Applied Analysis
11 Arkiv för Matematik
11 Communications in Partial Differential Equations
11 Discrete and Continuous Dynamical Systems
10 Nagoya Mathematical Journal
10 Revista Matemática Iberoamericana
10 Advances in Calculus of Variations
8 Mathematical Notes
8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
8 Boundary Value Problems
8 Journal of Fixed Point Theory and Applications
7 Duke Mathematical Journal
7 Siberian Mathematical Journal
7 St. Petersburg Mathematical Journal
7 Annales Academiae Scientiarum Fennicae. Mathematica
7 Journal of Evolution Equations
7 Complex Variables and Elliptic Equations
7 Proceedings of the Steklov Institute of Mathematics
7 Analysis and Mathematical Physics
6 Computers & Mathematics with Applications
6 Israel Journal of Mathematics
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
6 Journal of Approximation Theory
6 Zeitschrift für Analysis und ihre Anwendungen
6 Advances in Applied Clifford Algebras
5 Applicable Analysis
5 Annales de l’Institut Fourier
5 Czechoslovak Mathematical Journal
5 Journal of the Mathematical Society of Japan
5 Communications in Contemporary Mathematics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Mathematical Methods in the Applied Sciences
4 Applied Mathematics and Optimization
4 Collectanea Mathematica
4 Journal für die Reine und Angewandte Mathematik
4 Mathematische Nachrichten
4 Proceedings of the Japan Academy. Series A
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Expositiones Mathematicae
4 Positivity
4 Revista Matemática Complutense
4 Discrete and Continuous Dynamical Systems. Series B
4 Computational Methods and Function Theory
4 Fixed Point Theory and Applications
4 Nonlinear Analysis. Theory, Methods & Applications
3 Communications in Mathematical Physics
3 The Annals of Probability
3 Results in Mathematics
3 SIAM Journal on Mathematical Analysis
3 Bulletin of the American Mathematical Society. New Series
3 Abstract and Applied Analysis
3 Journal of the European Mathematical Society (JEMS)
3 Differential Equations
3 Analysis and Applications (Singapore)
3 Advances in Difference Equations
3 Complex Analysis and Operator Theory
3 Science China. Mathematics
3 ISRN Mathematical Analysis
3 Analysis and Geometry in Metric Spaces
3 Advances in Nonlinear Analysis
3 Complex Analysis and its Synergies
3 Advances in Operator Theory
2 Bulletin of the Australian Mathematical Society
2 Journal of Computational Physics
2 Nonlinearity
2 Rocky Mountain Journal of Mathematics
2 Ukrainian Mathematical Journal
2 Mathematics of Computation
2 Acta Mathematica
2 Functional Analysis and its Applications
2 Illinois Journal of Mathematics
2 Indiana University Mathematics Journal
2 Integral Equations and Operator Theory
2 Inventiones Mathematicae
2 Journal of the London Mathematical Society. Second Series
2 Numerische Mathematik
2 Osaka Journal of Mathematics
2 SIAM Journal on Control and Optimization
...and 113 more Serials
all top 5

Cited in 43 Fields

756 Partial differential equations (35-XX)
319 Potential theory (31-XX)
225 Functional analysis (46-XX)
155 Functions of a complex variable (30-XX)
116 Calculus of variations and optimal control; optimization (49-XX)
64 Real functions (26-XX)
59 Global analysis, analysis on manifolds (58-XX)
53 Operator theory (47-XX)
49 Harmonic analysis on Euclidean spaces (42-XX)
43 Differential geometry (53-XX)
38 Measure and integration (28-XX)
24 Fluid mechanics (76-XX)
23 Probability theory and stochastic processes (60-XX)
19 Integral equations (45-XX)
12 Numerical analysis (65-XX)
11 Mechanics of deformable solids (74-XX)
9 Approximations and expansions (41-XX)
9 Convex and discrete geometry (52-XX)
9 Biology and other natural sciences (92-XX)
8 General topology (54-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Optics, electromagnetic theory (78-XX)
5 Topological groups, Lie groups (22-XX)
5 Ordinary differential equations (34-XX)
5 Abstract harmonic analysis (43-XX)
5 Manifolds and cell complexes (57-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Systems theory; control (93-XX)
4 Information and communication theory, circuits (94-XX)
3 Combinatorics (05-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 History and biography (01-XX)
2 Difference and functional equations (39-XX)
2 Geometry (51-XX)
2 Quantum theory (81-XX)
1 General and overarching topics; collections (00-XX)
1 Special functions (33-XX)
1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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