Publikationen
2024
Dissertation
Willmore boundary value problems
Gulyak, Boris; Grunau, Hans-Christoph
In: Magdeburg: Universitätsbibliothek, Dissertation Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik 2024, 1 Online-Ressource (201 Seiten, 1,41 MB) [Literaturverzeichnis: Seite 192-201][Literaturverzeichnis: Seite 192-201]
2023
Begutachteter Zeitschriftenartikel
Willmore obstacle problems under dirichlet boundary conditions
Grunau, Hans-Christoph; Okabe, Shinya
In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze - Pisa : Scuola Normale Superiore, Bd. 24 (2023), Heft 3, S. 1415-1462
Nicht begutachteter Zeitschriftenartikel
Willmore obstacle problems under Dirichlet boundary conditions
Grunau, Hans-Christoph; Okabe, Shinya
In: De.arxiv.org - [Erscheinungsort nicht ermittelbar] : Arxiv.org . - 2023, Artikel 2103.15382, insges. 36 S.
2021
Begutachteter Zeitschriftenartikel
Optimal estimates from below for Green functions of higher order elliptic operators with variable leading coefficients
Grunau, Hans-Christoph
In: Archiv der Mathematik - Berlin: Springer, Bd. 117 (2021), S. 95-104
Begutachteter Zeitschriftenartikel
Boundary value problems for a special Helfrich functional for surfaces of revolution - existence and asymptotic behaviour
Deckelnick, Klaus; Doemeland, Marco; Grunau, Hans-Christoph
In: Calculus of variations and partial differential equations - Berlin: Springer, Bd. 60 (2021), insges. 31 S.
2020
Artikel in Zeitschrift
Differences between fundamental solutions of general higher order elliptic operators and of products of second order operators
Grunau, Hans-Christoph; Romani, Giulio; Sweers, Guido
In: Mathematische Annalen - Berlin: Springer, 1869 . - 2020
Begutachteter Zeitschriftenartikel
Positivity of solutions to the Cauchy problem for linear and semilinear biharmonic heat equations
Grunau, Hans-Christoph; Miyake, Nobuhito; Okabe, Shinya
In: Advances in nonlinear analysis - Berlin: de Gruyter, Bd. 10.2020, 1, S. 353-370
2018
Nicht begutachteter Zeitschriftenartikel
Boundary value problems for the Willmore functional
Grunau, Hans-Christoph
In: Magdeburg: Universität, Fakultät für Mathematik, 2018, 17 Seiten, Diagramme - (Preprint; Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg; 2018,Nr.04)
2017
Begutachteter Zeitschriftenartikel
Existence for Willmore surfaces of revolution satisfying non-symmetric Dirichlet boundary conditions
Eichmann, Sascha; Grunau, Hans-Christoph
In: Advances in calculus of variations - Berlin : de Gruyter, 2017
Begutachteter Zeitschriftenartikel
Minimising a relaxed Willmore functional for graphs subject to boundary conditions
Deckelnick, Klaus; Grunau, Hans-Christoph; Röger, Matthias
In: Interfaces and free boundaries - Zürich : European Mathematical Soc. Publ. House, Bd. 19.2017, 1, S. 109-140
2016
Begutachteter Zeitschriftenartikel
Boggios formula for fractional polyharmonic Dirichlet problems
Dipierro, Serena; Grunau, Hans-Christoph
In: Annali di matematica pura ed applicata. - Berlin : Springer, insges. 18 S., 2016
Herausgeberschaft
Jahresbericht der Deutschen Mathematikervereinigung
Grunau, Hans-Christoph
In: 2016
2015
Dissertation
Dominance of positivity of the Green's function associated to a perturbed polyharmonic dirichlet boundary value problem by pointwise estimates
Pulst, Ludwig; Grunau, Hans-Christoph
In: Magdeburg, Univ., Fak. für Mathematik, Diss., 2015, 95 S., graph. Darst.
Herausgeberschaft
Jahresbericht der Deutschen Mathematiker-Vereinigung
Grunau, Hans-Christoph
In: 2015
2014
Begutachteter Zeitschriftenartikel
In any dimension a clamped plate with a uniform weight may change sign
Grunau, Hans-Christoph; Sweers, Guido
In: Nonlinear analysis. - Amsterdam [u.a.] : Elsevier, Pergamon PressNonlinear analysis / Theory, methods and applications, Bd. 97.2014, S. 119-124
Begutachteter Zeitschriftenartikel
Uniform estimates and convexity in capillary surfaces
Grunau, Hans-Christoph; Lenor, Stephan
In: Nonlinear analysis. - Amsterdam [u.a.] : Elsevier, Pergamon PressNonlinear analysis / Theory, methods and applications, Bd. 97.2014, S. 83-93
Begutachteter Zeitschriftenartikel
A clamped plate with a uniform weight may change sign
Grunau, Hans-Christoph; Sweers, Guido
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
2013
Buchbeitrag
Uniform estimates for polyharmonic Green functions in domains with small holes
Grunau, Hans-Christoph; Robert, Frédéric
In: Recent trends in nonlinear partial differential equations II. - Providence, Rhode Island : American Mathematical Society, S. 263-272, 2013Kongress: Workshop on nonlinear partial differential equations; (Perugia, Italy) : 2012
2012
Originalartikel in begutachteter zeitschriftenartiger Reihe
The asymptotic shape of a boundary layer of symmetric willmore surfaces of revolution
Grunau, Hans-Christoph
In: Inequalities and applications 2010. - Basel [u.a.] : Birkhäuser [u.a.], S. 19-29, 2012 - (International series of numerical mathematics; 161)Kongress: Conference on Inequalities and Applications; 2 (Hajdúszoboszló, Hungary) : 2010.09.
2011
Originalartikel in begutachteter internationaler Zeitschrift
Optimal estimates from below for biharmonic Green functions
Grunau, Hans-Christoph; Robert, Frédéric; Sweers, Guido
In: Proceedings of the American Mathematical Society. - Providence, RI : Soc, Bd. 139.2011, 6, S. 2151-2161
Originalartikel in begutachteter internationaler Zeitschrift
Symmetric Willmore surfaces of revolution satisfying arbitrary Dirichlet boundary data
Dall'Acqua, Anna; Fröhlich, Steffen; Grunau, Hans-Christoph; Schieweck, Friedhelm
In: Advances in calculus of variations. - Berlin : de Gruyter, Bd. 4.2011, 1, S. 1-81
2010
Originalartikel in begutachteter internationaler Zeitschrift
Positivity and almost positivity of biharmonic Green's functions under Dirichlet boundary conditions
Grunau, Hans-Christoph; Robert, Frédéric
In: Archive for rational mechanics and analysis . - Berlin : Springer, Bd. 195.2010, 3, S. 865-898
Originalartikel in begutachteter internationaler Zeitschrift
Optimal Sobolev and Hardy Rellich constants under navier boundary conditions
Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido
In: Annali di matematica pura ed applicata . - Heidelberg : Springer, Bd. 189.2010, 3, S. 475-486
Wissenschaftliche Monographie
Polyharmonic boundary value problems - positivity preserving and nonlinear higher order elliptic equations in bounded domains
Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido
In: Heidelberg [u.a.]: Springer, 2010, XVIII, 423 S. - (Lecture notes in mathematics; 1991), ISBN: 978-3-642-12244-6 [Literaturverz. S. 397 - 413]
2009
Originalartikel in begutachteter internationaler Zeitschrift
A Navier boundary value problem for Willmore surfaces of revolution
Deckelnick, Klaus; Grunau, Hans-Christoph
In: Analysis . - München : Oldenbourg, Bd. 29.2009, 3, S. 229-258
Originalartikel in begutachteter internationaler Zeitschrift
Stability and symmetry in the Navier problem for the one-dimensional Willmore equation
Deckelnick, Klaus; Grunau, Hans-Christoph
In: Society for Industrial and Applied Mathematics : SIAM journal on mathematical analysis . - Philadelphia, Pa. : SIAM, Bd. 40.2009, 5, S. 2055-1076
Originalartikel in begutachteter internationaler Zeitschrift
Boundedness of the negative part of biharmonic Greens functions under dirichlet boundary conditions in general domains
Grunau, Hans-Christoph; Robert, Frédéric
In: Comptes rendus mathematique . - Paris : Elsevier, Bd. 347.2009, 3/4, S. 163-166
Originalartikel in begutachteter internationaler Zeitschrift
Some new proberties of biharmonic heat kernels
Gazzola, Filippo; Grunau, Hans-Christoph
In: Nonlinear analysis . - Oxford : Pergamon, Elsevier Science, ISSN 0362-546x, Bd. 70.2009, 8, S. 2965-2973
Originalartikel in begutachteter internationaler Zeitschrift
Nonlinear questions in clamped plate models
Grunau, Hans-Christoph
In: Milan journal of mathematics . - Basel; Berlin [u.a.] : Birkhäuser, Bd. 77.2009, 1, S. 171-204
2008
Originalartikel in begutachteter internationaler Zeitschrift
The second bifurcation branch for radial solutions of the Brezis-Nirenberg problem in dimension four
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Sassone, Edoardo
In: Nonlinear differential equations and applications: Nodea : Nodea - [Cham (ZG)] : [Springer International Publishing AG], Bd. 15 (2008), 1/2, S. 69-90
Originalartikel in begutachteter internationaler Zeitschrift
Classical solutions to the dirichlet problem for Willmore surfaces of revolution
Dall'Acqua, Anna; Deckelnick, Klaus; Grunau, Hans-Christoph
In: Advances in calculus of variations. - Berlin : de Gruyter, Bd. 1.2008, 4, S. 379-397
Originalartikel in begutachteter internationaler Zeitschrift
Supercritical biharmonic equations with power-type nonlinearity
Ferrero, Alberto; Grunau, Hans-Christoph; Karageorgis, Paschalis
In: Annali di matematica pura ed applicata . - Heidelberg : Springer, Bd. 188.2009, 1, S. 171-185
Originalartikel in begutachteter internationaler Zeitschrift
The Paneitz equation in hyperbolic space
Grunau, Hans-Christoph; Ahmedou, Mohameden Ould; Reichel, Wolfgang
In: Institut Henri Poincaré
Originalartikel in begutachteter internationaler Zeitschrift
Decay and local eventual positivity for biharmonic parabolic equations
Ferrero, Alberto; Gazzola, Filippo; Grunau, Hans-Christoph
In: Discrete and continuous dynamical systems / S. - Springfield, Mo, Bd. 1.2008, 4, S. 1129-1157
Originalartikel in begutachteter internationaler Zeitschrift
Eventual local positivity for a biharmonic heat equation in R^n
Gazzola, Filippo; Grunau, Hans-Christoph
In: Discrete and continuous dynamical systems . - Springfield, Mo., Bd. 1.2008, 1, S. 83-87
2007
Originalartikel in begutachteter internationaler Zeitschrift
Boundary value problems for the one-dimensional Willmore equation
Deckelnick, Klaus; Grunau, Hans-Christoph
In: Calculus of variations and partial differential equations - Berlin: Springer, Bd. 30 (2007), 3, S. 293-314
Originalartikel in begutachteter internationaler Zeitschrift
Local regularity of weak solutions of semilinear parabolic systems with critical growth
Berchio, Elvise; Grunau, Hans-Christoph
In: Journal of evolution equations - Basel [u.a.]: Birkhäuser, Bd. 7 (2007), 1, S. 177-196
Originalartikel in begutachteter internationaler Zeitschrift
The Dirichlet problem for supercritical biharmonic equations with power-type nonlinearity
Ferrero, Alberto; Grunau, Hans-Christoph
In: Journal of differential equations - Orlando, Fla.: Elsevier, Bd. 234 (2007), 2, S. 582-606
Originalartikel in begutachteter internationaler Zeitschrift
Regions of positivity for polyharmonic green functions in arbitrary domains
Grunau, Hans-Christoph; Sweers, Guido
In: Proceedings of the American Mathematical Society/ American Mathematical Society - Providence, RI: Soc., Bd. 135 (2007), 11, S. 3537-3546
Originalartikel in begutachteter internationaler Zeitschrift
Global solutions for superlinear parabolic equations involving the biharmonic operator for initial data with optimal slow decay
Gazzola, Filippo; Grunau, Hans-Christoph
In: Calculus of variations and partial differential equations - Berlin: Springer, Bd. 30 (2007), 3, S. 389-415
2006
Originalartikel in begutachteter internationaler Zeitschrift
Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph
In: Journal of differential equations . - Orlando, Fla. : Elsevier, Bd. 230.2006, 2, S. 743-770; Abstract
Originalartikel in begutachteter internationaler Zeitschrift
Radial entire solutions for supercritical biharmonic equations
Gazzola, Filippo; Grunau, Hans-Christoph
In: Mathematische Annalen . - Berlin : Springer, Bd. 334.2006, 4, S. 905-936; Abstract
2005
Originalartikel in begutachteter internationaler Zeitschrift
A semilinear fourth order elliptic problem with exponential nonlinearity.
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo
In: SIAM Journal on mathematical analysis [Philadelphia] 36(2005), Nr. 4, S. 1226 - 1258
Originalartikel in begutachteter internationaler Zeitschrift
On the existence of hermitian-harmonic maps from complete hermitian to complete Riemannian manifolds.
Grunau, Hans-Christoph; Kuehnel, Marco
In: Mathematische Zeitschrift [Berlin [u.a.]] 249(2005), S. 297 - 327
2004
Originalartikel in begutachteter internationaler Zeitschrift
On a conditioned brownian motion and a maximum principle on the disk.
Dall'acqua, A.; Grunau, Hans-Christoph; Sweers, G.H.
In: Journal d'analyse mathématique [Jerusalem] 93(2004), S. 309 - 329
Originalartikel in begutachteter internationaler Zeitschrift
Hardy inequalities with optimal constants and remainder terms.
Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo
In: Transactions of the American Mathematical Society [Providence, RI] 356(2004), Nr. 6, S. 2149 - 2168
2003
Originalartikel in begutachteter internationaler Zeitschrift
Existence and nonexistence results for critical growth biharmonic elliptic equations.
Gazzola, Filippo; Grunau, Hans-Christoph; Squassina, Marco
In: Calculus of variations [Berlin] 18(2003), S. 117 - 143
2001
Originalartikel in begutachteter internationaler Zeitschrift
Critical dimensions and higher order Sobolev inequalities with remainder terms.
Gazzola, Filippo; Grunau, Hans-Christoph
In: Nonlinear differential equations and applications : NoDEA [Basel] 8(2001), S. 35 - 44
Originalartikel in begutachteter internationaler Zeitschrift
Nonexistence of local minima of supersolutions for the circular clamped plate.
Grunau, Hans-Christoph; Sweers, Guido
In: Pacific journal of mathematics [Berkeley] 198(2001), Nr. 2, S. 437 - 442