Ilkka Holopainen

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All published works

Action	Title	Year	Authors
+ PDF Chat	Translating Solitons Over Cartan–Hadamard Manifolds	2023	Jean-Baptiste Castéras Esko Heinonen Ilkka Holopainen Jorge H. de Lira
+	Construction of a two bubbles blowing-up solution for the fourth order energy critical nonlinear Schrödinger equation	2023	Jean‐Baptiste Casteras Ilkka Holopainen Léonard Monsaingeon
+ PDF Chat	Fourth Order Schrödinger Equation with Mixed Dispersion on Certain Cartan-Hadamard Manifolds	2022	Jean-Baptiste Castéras Ilkka Holopainen
+ PDF Chat	Non-Parametric Mean Curvature Flow with Prescribed Contact Angle in Riemannian Products	2022	Jean-Baptiste Castéras Esko Heinonen Ilkka Holopainen Jorge H. de Lira
+	Fourth order Schr\"odinger equation with mixed dispersion on Cartan-Hadamard manifolds	2021	Jean‐Baptiste Casteras Ilkka Holopainen
+ PDF Chat	Fourth order Schr\"odinger equation with mixed dispersion on Cartan-Hadamard manifolds	2021	Jean‐Baptiste Casteras Ilkka Holopainen
+	Non-parametric mean curvature flow with prescribed contact angle in Riemannian products	2020	Jean‐Baptiste Casteras Esko Heinonen Ilkka Holopainen Jorge H. de Lira
+	Translating solitons over Cartan-Hadamard manifolds	2020	Jean‐Baptiste Casteras Esko Heinonen Ilkka Holopainen Jorge H. de Lira
+ PDF Chat	Asymptotic Plateau problem for prescribed mean curvature hypersurfaces	2019	Jean‐Baptiste Casteras Ilkka Holopainen Jaime Ripoll
+ PDF Chat	Dirichlet problem for f-minimal graphs	2019	Jean-Baptiste Castéras Esko Heinonen Ilkka Holopainen
+ PDF Chat	Asymptotic Dirichlet problems in warped products	2019	Jean-Baptiste Castéras Esko Heinonen Ilkka Holopainen Jorge H. de Lira
+ PDF Chat	Existence and non-existence of minimal graphic and <i>p</i>-harmonic functions	2019	Jean‐Baptiste Casteras Esko Heinonen Ilkka Holopainen
+ PDF Chat	Asymptotic Dirichlet problem for ${\mathcal A}$-harmonic and minimal graph equations in Cartan–Hadamard manifolds	2019	Jean‐Baptiste Casteras Ilkka Holopainen Jaime Ripoll
+ PDF Chat	Convexity at infinity in Cartan–Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems	2017	Jean-Baptiste Castéras Ilkka Holopainen Jaime Ripoll
+ PDF Chat	Existence and non-existence of minimal graphic and $p$-harmonic functions	2017	Jean-Baptiste Castéras Esko Heinonen Ilkka Holopainen
+ PDF Chat	On the Asymptotic Dirichlet Problem for the Minimal Hypersurface Equation in a Hadamard Manifold	2017	Jean-Baptiste Castéras Ilkka Holopainen Jaime Ripoll
+ PDF Chat	Solvability of Minimal Graph Equation Under Pointwise Pinching Condition for Sectional Curvatures	2016	Jean-Baptiste Castéras Esko Heinonen Ilkka Holopainen
+ PDF Chat	Nonsolvability of the asymptotic Dirichlet problem for some quasilinear elliptic PDEs on Hadamard manifolds	2015	Ilkka Holopainen Jaime Ripoll
+ PDF Chat	Nonsolvability of the asymptotic Dirichlet problem for the <i>p</i>-Laplacian on Cartan–Hadamard manifolds	2015	Ilkka Holopainen
+	Nonsolvability of the asymptotic Dirichlet problems for some quasilinear elliptic PDEs on Hadamard manifolds	2013	Ilkka Holopainen Jaime Ripoll
+	On the asymptotic Dirichlet problem for the minimal hypersurface equation in a Hadamard manifold	2013	Jean‐Baptiste Casteras Ilkka Holopainen Jaime Ripoll
+	On the asymptotic Dirichlet problem for the minimal hypersurface equation in a Hadamard manifold	2013	Jean‐Baptiste Casteras Ilkka Holopainen Jaime Ripoll
+	Nonsolvability of the asymptotic Dirichlet problems for some quasilinear elliptic PDEs on Hadamard manifolds	2013	Ilkka Holopainen Jaime Ripoll
+ PDF Chat	Global Comparison Principles for the p-Laplace Operator on Riemannian Manifolds	2010	Ilkka Holopainen Stefano Pigola Giona Veronelli
+ PDF Chat	$p$-Capacity and $p$-Hyperbolicity of Submanifolds	2009	Ilkka Holopainen Steen Markvorsen Vicente Palmer
+	Dirichlet problem at infinity on Gromov hyperbolic metric measure spaces	2007	Ilkka Holopainen Urs Lang Aleksi Vähäkangas
+	Asymptotic Dirichlet problem on negatively curved spaces	2007	Ilkka Holopainen Aleksi Vähäkangas
+	p-Laplace operator, quasiregular mappings and Picard-type theorems	2007	Ilkka Holopainen Pekka Pankka
+	p-Capacity and p-hyperbolicity of submanifolds	2006	Ilkka Holopainen Steen Markvorsen Vicente Palmer
+	A big Picard theorem for quasiregular mappings into manifolds with many ends	2004	Ilkka Holopainen Pekka Pankka
+	Mappings of finite distortion: Global homeomorphism theorem	2004	Ilkka Holopainen Pekka Pankka
+	Quasiregular mappings and the 𝑝-Laplace operator	2003	Ilkka Holopainen
+	Singular solutions, homogeneous norms, and quasiconformal mappings in Carnot groups	2002	Zoltán M. Balogh Ilkka Holopainen Jeremy T. Tyson
+ PDF Chat	Asymptotic Dirichlet problem for the $p$-Laplacian on Cartan-Hadamard manifolds	2002	Ilkka Holopainen
+	Singular functions on metric measure spaces.	2002	Ilkka Holopainen Nageswari Shanmugalingam
+	Harnack inequality and hyperbolicity for subelliptic p -Laplacians with applications to Picard type theorems	2001	Thierry Coulhon L. Saloff‐Coste Ilkka Holopainen
+ PDF Chat	Volume growth and parabolicity	2001	Ilkka Holopainen Pekka Koskela
+	On the conformal Martin boundary of domains in metric spaces	2001	Ilkka Holopainen Nageswari Shanmugalingam Jeremy T. Tyson
+	A sharpL q-Liouville theorem forp-harmonic functions	2000	Ilkka Holopainen
+	Harmonic functions and volume growth of fingerless ends	2000	Ilkka Holopainen
+	Volume growth, Green’s functions, and parabolicity of ends	1999	Ilkka Holopainen
+	RICCI CURVATURE, HARNACK FUNCTIONS, AND PICARD TYPE THEOREMS FOR QUASIREGULAR MAPPINGS	1998	Ilkka Holopainen Seppo Rickman
+	p-harmonic functions on graphs and manifolds	1997	Ilkka Holopainen Paolo M. Soardi
+	Quasiregular maps on Carnot groups	1997	Juha Heinonen Ilkka Holopainen
+	A strong Liouville theorem for $p$-harmonic functions on graphs	1997	Ilkka Holopainen Paolo M. Soardi
+ PDF Chat	Failure of the Denjoy theorem for quasiregular maps in dimension $n \ge 3$	1996	Ilkka Holopainen Seppo Rickman
+	Solutions of elliptic equations on manifolds with roughly Euclidean ends	1994	Ilkka Holopainen
+ PDF Chat	Rough isometries and $p$-harmonic functions with finite Dirichlet integral	1994	Ilkka Holopainen
+	Classification of Riemannian manifolds in nonlinear potential theory	1993	Ilkka Holopainen Seppo Rickman
+	Quasiregular mappings of the Heisenberg group	1992	Ilkka Holopainen Seppo Rickman
+	Positive Solutions of Quasilinear Elliptic Equations on Riemannian Manifolds	1992	Ilkka Holopainen
+ PDF Chat	A Picard type theorem for quasiregular mappings of $\mathbb R^n$ into $n$-manifolds with many ends	1992	Ilkka Holopainen Seppo Rickman
+	Nonlinear potential theory and quasiregular mappings on Riemannian manifolds	1990	Ilkka Holopainen

Common Coauthors

Coauthor	Papers Together
Jean‐Baptiste Casteras	19
Esko Heinonen	9
Jaime Ripoll	9
Jorge H. de Lira	5
Seppo Rickman	5
Pekka Pankka	3
Aleksi Vähäkangas	2
Steen Markvorsen	2
Paolo M. Soardi	2
Nageswari Shanmugalingam	2
Vicente Palmer	2
Jeremy T. Tyson	2
Léonard Monsaingeon	1
L. Saloff-Coste	1
Zoltán M. Balogh	1
Pekka Koskela	1
Urs Lang	1
Juha Heinonen	1
Giona Veronelli	1
Stefano Pigola	1
Thierry Coulhon	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Nonlinear Potential Theory of Degenerate Elliptic Equations	2018	Juha Heinonen Tero Kilpeläinen Олли Мартио	22
+	Nonlinear potential theory and quasiregular mappings on Riemannian manifolds	1990	Ilkka Holopainen	16
+	Positive Solutions of Quasilinear Elliptic Equations on Riemannian Manifolds	1992	Ilkka Holopainen	14
+	Volume growth, Green’s functions, and parabolicity of ends	1999	Ilkka Holopainen	12
+ PDF Chat	Asymptotic Dirichlet problem for the $p$-Laplacian on Cartan-Hadamard manifolds	2002	Ilkka Holopainen	12
+	Asymptotic Dirichlet problem on negatively curved spaces	2007	Ilkka Holopainen Aleksi Vähäkangas	11
+	The nonsolvability of the Dirichlet problem on negatively curved manifolds	1998	Albert Borbély	10
+ PDF Chat	Convexity at infinity and Brownian motion on manifolds with unbounded negative curvature	1994	Alano Ancona	9
+	Positive Harmonic Functions on Complete Manifolds of Negative Curvature	1985	Michael T. Anderson Richard Schoen	9
+ PDF Chat	Asymptotic Dirichlet problems for harmonic functions on Riemannian manifolds	1984	Hyeong In Choi	9
+	Negatively Curved Manifolds, Elliptic Operators, and the Martin Boundary	1987	Alano Ancona	8
+ PDF Chat	Killing graphs with prescribed mean curvature	2008	Marcos Dajczer Pedro A. Hinojosa Jorge H. de Lira	8
+ PDF Chat	Local behavior of solutions of quasi-linear equations	1964	James Serrin	8
+ PDF Chat	Interior Gradient Estimates and Existence Theorems for Constant Mean Curvature Graphs in Mn × R	2007	Joel Spruck	8
+ PDF Chat	The Dirichlet problem at infinity for manifolds of negative curvature	1983	Michael T. Anderson	8
+ PDF Chat	The Dirichlet problem at infinity for a negatively curved manifold	1983	Dennis Sullivan	7
+	The half-space property and entire positive minimal graphs in M x R	2012	Harold Rosenberg Felix Schulze Joel Spruck	7
+ PDF Chat	Function Theory on Manifolds Which Possess a Pole	1979	R. E. Greene H. Wu	7
+	Lectures on Harmonic Maps	1997	Richard Schoen Shing Tung Yau	6
+	Positive harmonic functions and hyperbolicity	1988	Alano Ancona	6
+ PDF Chat	Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds	1982	Jeff Cheeger M. Gromov Michael E. Taylor	6
+ PDF Chat	Function theory, random paths and covering spaces	1984	Terry Lyons Dennis Sullivan	6
+ PDF Chat	Some existence results on the exterior Dirichlet problem for the minimal hypersurface equation	2011	Nedir do Espírito-Santo Jaime Ripoll	6
+	Space Mappings with Bounded Distortion	1989	Yu. G. Reshetnyak	6
+	Regularity at infinity of Hadamard manifolds with respect to some elliptic operators and applications to asymptotic Dirichlet problems	2014	Jaime Ripoll Miriam Telichevesky	6
+ PDF Chat	Rough isometries, and combinatorial approximations of geometries of non ∙ compact riemannian manifolds	1985	Masahiko Kanai	6
+	Dirichlet Problem at Infinity for $\mathcal A$ -Harmonic Functions	2007	Aleksi Vähäkangas	6
+ PDF Chat	Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds	1999	Alexander Grigor’yan	6
+	Harnack inequality and hyperbolicity for subelliptic p -Laplacians with applications to Picard type theorems	2001	Thierry Coulhon L. Saloff‐Coste Ilkka Holopainen	6
+ PDF Chat	The half-space property and entire positive minimal graphs in $M \times \mathbb{R}$.	2013	Harold Rosenberg Felix Schulze Joel Spruck	5
+ PDF Chat	Brownian motion and Dirichlet problems at infinity	2003	Elton P. Hsu	5
+ PDF Chat	A Picard type theorem for quasiregular mappings of $\mathbb R^n$ into $n$-manifolds with many ends	1992	Ilkka Holopainen Seppo Rickman	5
+	On the number of omitted values of entire quasiregular mappings	1980	Seppo Rickman	5
+ PDF Chat	Quasiconformal maps in metric spaces with controlled geometry	1998	Juha Heinonen Pekka Koskela	5
+	Uniform limits of certain A-harmonic functions with applications to quasiregular mappings	1991	Alexandre Erëmenko John L. Lewis	5
+	Parabolicity of manifolds	1999	Marc Troyanov	5
+	Dirichlet problem on unbounded domains and at infinity	2009	Aleksi Vähäkangas	5
+ PDF Chat	Curvature and function theory on Riemannian manifolds	2002	Peter Li	5
+	An interior gradient estimate for the mean curvature equation of Killing graphs and applications	2012	Marcos Dajczer Jorge H. de Lira Jaime Ripoll	5
+	Differential equations on riemannian manifolds and their geometric applications	1975	Sheng Yao Cheng Shing‐Tung Yau	5
+	Quasiregular mappings of the Heisenberg group	1992	Ilkka Holopainen Seppo Rickman	5
+ PDF Chat	Nonsolvability of the asymptotic Dirichlet problem for some quasilinear elliptic PDEs on Hadamard manifolds	2015	Ilkka Holopainen Jaime Ripoll	5
+ PDF Chat	Two theorems of N. Wiener for solutions of quasilinear elliptic equations	1985	Peter Lindqvist Олли Мартио	4
+	Minimal surfaces and harmonic diffeomorphisms from the complex plane onto certain Hadamard surfaces	2010	José A. Gálvez Harold Rosenberg	4
+ PDF Chat	Instability of the Liouville property for quasi-isometric Riemannian manifolds and reversible Markov chains	1987	Terry Lyons	4
+ PDF Chat	Picard’s theorem and Rickman’s theorem by way of Harnack’s inequality	1994	John L. Lewis	4
+ PDF Chat	Construction of harmonic diffeomorphisms and minimal graphs	2010	Pascal Collin Harold Rosenberg	4
+	RICCI CURVATURE, HARNACK FUNCTIONS, AND PICARD TYPE THEOREMS FOR QUASIREGULAR MAPPINGS	1998	Ilkka Holopainen Seppo Rickman	4
+	Harmonic functions on complete riemannian manifolds	1975	Shing‐Tung Yau	4
+ PDF Chat	Volume growth and parabolicity	2001	Ilkka Holopainen Pekka Koskela	4