Otto-von-Guericke-Universität Magdeburg

 
 
 
 
 
 
 
 
Hans-Christoph Grunau




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2017

Begutachteter Zeitschriftenartikel
Deckelnick, Klaus;  Grunau, Hans-Christoph;  Röger, Matthias 

Minimising a relaxed Willmore functional for graphs subject to boundary conditions
In: Interfaces and free boundaries - Zürich: European Mathematical Soc. Publ. House, Bd. 19.2017, 1, S. 109-140; http://dx.doi.org/10.4171/IFB/378

Eichmann, Sascha;  Grunau, Hans-Christoph 

Existence for Willmore surfaces of revolution satisfying non-symmetric Dirichlet boundary conditions
In: Advances in calculus of variations - Berlin: de Gruyter, 2017; http://dx.doi.org/10.1515/acv-2016-0038

2016

Begutachteter Zeitschriftenartikel
Dipierro, Serena;  Grunau, Hans-Christoph 

Boggios formula for fractional polyharmonic Dirichlet problems
In: Annali di matematica pura ed applicata. - Berlin : Springer, insges. 18 S., 2016

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Herausgeberschaft
Grunau, Hans-Christoph 

Jahresbericht der Deutschen Mathematiker-Vereinigung
In: Wiesbaden, Vieweg + Teubner, ISSN: 0012-0456, 2189033, 2016

2015

Herausgeberschaft
Grunau, Hans-Christoph 

Jahresbericht der Deutschen Mathematiker-Vereinigung
In: Wiesbaden, Vieweg + Teubner, ISSN: 0012-0456, 2189033, 2015

2014

Begutachteter Zeitschriftenartikel
Grunau, Hans-Christoph;  Sweers, Guido 

A clamped plate with a uniform weight may change sign
In: Discrete and continuous dynamical systems. - Springfield, Mo : American Institute of Mathematical SciencesDiscrete and continuous dynamical systems / S, Bd. 7.2014, 7, S. 761-766

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Grunau, Hans-Christoph;  Sweers, Guido 

In any dimension a clamped plate with a uniform weight may change sign
In: Nonlinear analysis. - Amsterdam [u.a.] : Elsevier, Pergamon PressNonlinear analysis / Theory, methods and applications, Bd. 97.2014, S. 119-124

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Grunau, Hans-Christoph;  Lenor, Stephan 

Uniform estimates and convexity in capillary surfaces
In: Nonlinear analysis. - Amsterdam [u.a.] : Elsevier, Pergamon PressNonlinear analysis / Theory, methods and applications, Bd. 97.2014, S. 83-93

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2013

Buchbeitrag
Grunau, Hans-Christoph;  Robert, Frédéric 

Uniform estimates for polyharmonic Green functions in domains with small holes
In: Recent trends in nonlinear partial differential equations II. - Providence, Rhode Island : American Mathematical Society, S. 263-272, 2013

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2012

Originalartikel in begutachteter zeitschriftenartiger Reihe
Grunau, Hans-Christoph 

The asymptotic shape of a boundary layer of symmetric willmore surfaces of revolution
In: Inequalities and applications 2010. - Basel [u.a.] : Birkhäuser [u.a.], S. 19-29, 2012 - (International series of numerical mathematics; 161)

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2011

Originalartikel in begutachteter internationaler Zeitschrift
Dall'Acqua, Anna;  Fröhlich, Steffen;  Grunau, Hans-Christoph;  Schieweck, Friedhelm 

Symmetric Willmore surfaces of revolution satisfying arbitrary Dirichlet boundary data
In: Advances in calculus of variations. - Berlin : de Gruyter, Bd. 4.2011, 1, S. 1-81

Grunau, Hans-Christoph;  Robert, Frédéric;  Sweers, Guido 

Optimal estimates from below for biharmonic Green functions
In: Proceedings of the American Mathematical Society. - Providence, RI : Soc, Bd. 139.2011, 6, S. 2151-2161

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2010

Originalartikel in begutachteter internationaler Zeitschrift
Gazzola, Filippo;  Grunau, Hans-Christoph;  Sweers, Guido 

Optimal Sobolev and Hardy Rellich constants under navier boundary conditions
In: Annali di matematica pura ed applicata . - Heidelberg : Springer, Bd. 189.2010, 3, S. 475-486

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Grunau, Hans-Christoph;  Robert, Frédéric 

Positivity and almost positivity of biharmonic Green's functions under Dirichlet boundary conditions
In: Archive for rational mechanics and analysis . - Berlin : Springer, Bd. 195.2010, 3, S. 865-898

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Wissenschaftliche Monographie
Gazzola, Filippo;  Grunau, Hans-Christoph;  Sweers, Guido 

Polyharmonic boundary value problems - positivity preserving and nonlinear higher order elliptic equations in bounded domains
In: Lecture notes in mathematics; 1991

Publikationslink    Volltext

2009

Originalartikel in begutachteter internationaler Zeitschrift
Deckelnick, Klaus;  Grunau, Hans-Christoph 

A Navier boundary value problem for Willmore surfaces of revolution
In: Analysis . - München : Oldenbourg, Bd. 29.2009, 3, S. 229-258

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Deckelnick, Klaus;  Grunau, Hans-Christoph 

Stability and symmetry in the Navier problem for the one-dimensional Willmore equation
In: Society for Industrial and Applied Mathematics : SIAM journal on mathematical analysis . - Philadelphia, Pa. : SIAM, Bd. 40.2009, 5, S. 2055-1076

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Gazzola, Filippo;  Grunau, Hans-Christoph 

Some new proberties of biharmonic heat kernels
In: Nonlinear analysis . - Oxford : Pergamon, Elsevier Science, ISSN 0362-546x, Bd. 70.2009, 8, S. 2965-2973

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Grunau, Hans-Christoph;  Robert, Frédéric 

Boundedness of the negative part of biharmonic Greens functions under dirichlet boundary conditions in general domains
In: Comptes rendus mathematique . - Paris : Elsevier, Bd. 347.2009, 3/4, S. 163-166

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Grunau, Hans-Christoph 

Nonlinear questions in clamped plate models
In: Milan journal of mathematics . - Basel; Berlin [u.a.] : Birkhäuser, Bd. 77.2009, 1, S. 171-204

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2008

Originalartikel in begutachteter internationaler Zeitschrift
Arioli, Gianni;  Gazzola, Filippo;  Grunau, Hans-Christoph;  Sassone, Edoardo 

The second bifurcation branch for radial solutions of the Brezis-Nirenberg problem in dimension four
In: Nonlinear differential equations and applications . - Basel [u.a.] : Birkhäuser, Bd. 15.2008, 1/2, S. 69-90

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Dall'Acqua, Anna;  Deckelnick, Klaus;  Grunau, Hans-Christoph 

Classical solutions to the dirichlet problem for Willmore surfaces of revolution
In: Advances in calculus of variations. - Berlin : de Gruyter, Bd. 1.2008, 4, S. 379-397

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Ferrero, Alberto;  Gazzola, Filippo;  Grunau, Hans-Christoph 

Decay and local eventual positivity for biharmonic parabolic equations
In: Discrete and continuous dynamical systems / S. - Springfield, Mo, Bd. 1.2008, 4, S. 1129-1157

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Ferrero, Alberto;  Grunau, Hans-Christoph;  Karageorgis, Paschalis 

Supercritical biharmonic equations with power-type nonlinearity
In: Annali di matematica pura ed applicata . - Heidelberg : Springer, Bd. 188.2009, 1, S. 171-185

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Gazzola, Filippo;  Grunau, Hans-Christoph 

Eventual local positivity for a biharmonic heat equation in R^n
In: Discrete and continuous dynamical systems . - Springfield, Mo., Bd. 1.2008, 1, S. 83-87

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Grunau, Hans-Christoph;  Ahmedou, Mohameden Ould;  Reichel, Wolfgang 

The Paneitz equation in hyperbolic space
In: Institut Henri Poincaré <Paris> : Annales de l\'Institut Henri Poincaré . - Amsterdam : Elsevier, Bd. 25.2008, 5, S. 847-864

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2007

Originalartikel in begutachteter internationaler Zeitschrift
Berchio, Elvise;  Grunau, Hans-Christoph 

Local regularity of weak solutions of semilinear parabolic systems with critical growth
In: Journal of evolution equations . - Basel [u.a.] : Birkhäuser, Bd. 7.2007, 1, S. 177-196

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Deckelnick, Klaus;  Grunau, Hans-Christoph 

Boundary value problems for the one-dimensional Willmore equation
In: Calculus of variations and partial differential equations . - Berlin : Springer, Bd. 30.2007, 3, S. 293-314

Publikationslink   

Ferrero, Alberto;  Grunau, Hans-Christoph 

The Dirichlet problem for supercritical biharmonic equations with power-type nonlinearity
In: Journal of differential equations . - Orlando, Fla. : Elsevier, Bd. 234.2007, 2, S. 582-606

Publikationslink   

Gazzola, Filippo;  Grunau, Hans-Christoph 

Global solutions for superlinear parabolic equations involving the biharmonic operator for initial data with optimal slow decay
In: Calculus of variations and partial differential equations . - Berlin : Springer, Bd. 30.2007, 3, S. 389-415

Publikationslink   

Grunau, Hans-Christoph;  Sweers, Guido 

Regions of positivity for polyharmonic green functions in arbitrary domains
In: Proceedings of the American Mathematical Society. - Providence, RI : Soc, Bd. 135.2007, 11, S. 3537-3546

Publikationslink   

2006

Originalartikel in begutachteter internationaler Zeitschrift
Arioli, Gianni;  Gazzola, Filippo;  Grunau, Hans-Christoph 

Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity
In: Journal of differential equations . - Orlando, Fla. : Elsevier, Bd. 230.2006, 2, S. 743-770; Abstract unter URL: http://dx.doi.org/10.1016/j.jde.2006.05.015

Gazzola, Filippo;  Grunau, Hans-Christoph 

Radial entire solutions for supercritical biharmonic equations
In: Mathematische Annalen . - Berlin : Springer, Bd. 334.2006, 4, S. 905-936; Abstract unter URL: http://han.med.uni-magdeburg.de/han/800/springerlink.metapress.com/content/68314542l21mt768/?p=f167810023294cf3a204cc4729f5fd63&pi=8

2005

Originalartikel in begutachteter internationaler Zeitschrift
Arioli, Gianni (ext.);  Gazzola, Filippo (ext.);  Grunau, Hans-Christoph;  Mitidieri, Enzo (ext.) 

A semilinear fourth order elliptic problem with exponential nonlinearity.
In: SIAM Journal on mathematical analysis [Philadelphia] 36(2005), Nr. 4, S. 1226 - 1258

Grunau, Hans-Christoph;  Kuehnel, Marco (ext.) 

On the existence of hermitian-harmonic maps from complete hermitian to complete Riemannian manifolds.
In: Mathematische Zeitschrift [Berlin [u.a.]] 249(2005), S. 297 - 327

2004

Originalartikel in begutachteter internationaler Zeitschrift
Dall'acqua, A. (ext.);  Grunau, Hans-Christoph;  Sweers, G.H. (ext.) 

On a conditioned brownian motion and a maximum principle on the disk.
In: Journal d\'analyse mathématique [Jerusalem] 93(2004), S. 309 - 329

Gazzola, Filippo (ext.);  Grunau, Hans-Christoph;  Mitidieri, Enzo (ext.) 

Hardy inequalities with optimal constants and remainder terms.
In: Transactions of the American Mathematical Society [Providence, RI] 356(2004), Nr. 6, S. 2149 - 2168

2003

Originalartikel in begutachteter internationaler Zeitschrift
Gazzola, Filippo (ext.);  Grunau, Hans-Christoph;  Squassina, Marco (ext.) 

Existence and nonexistence results for critical growth biharmonic elliptic equations.
In: Calculus of variations [Berlin] 18(2003), S. 117 - 143

2002

Originalartikel in begutachteter internationaler Zeitschrift
Grunau, Hans-Christoph;  Sweer, Guido (ext.) 

Optimal conditions for anti-maximum principles.
In: Annali della scuola normale superiore di pisa, classe di scienze = 4. ser. [Firenze] 30(2001 [ersch. 2002]), Nr. 3/4, S. 499 - 513

Grunau, Hans-Christoph 

Positivity, change of sign and buckling eigenvalues in a one-dimensional fourth order model problem.
In: Advances in differential equations [Athens, Ohio] 7(2002), Nr. 2, S. 177 - 196

Grunau, Hans-Christoph;  Sweers, G. (ext.) 

Sharp estimates for iterated Green functions.
In: Proceedings of the Royal Society of Edinburgh, section A = Mathematics [Edinburgh] 132A(2002), S. 91 - 120

2001

Originalartikel in begutachteter internationaler Zeitschrift
Gazzola, Filippo (ext.);  Grunau, Hans-Christoph 

Critical dimensions and higher order Sobolev inequalities with remainder terms.
In: Nonlinear differential equations and applications : NoDEA [Basel] 8(2001), S. 35 - 44

Grunau, Hans-Christoph;  Sweers, Guido (ext.) 

Nonexistence of local minima of supersolutions for the circular clamped plate.
In: Pacific journal of mathematics [Berkeley] 198(2001), Nr. 2, S. 437 - 442



Letzte Änderung: 10.02.2016 - Ansprechpartner: Pierre Krenzlin
 
 
 
 
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