Prof. Grunau

Prof. Dr. Hans-Christoph Grunau
Institut für Analysis und Numerik (IAN)
Fax: +49 391 67 48073
Prof. Dr. Hans-Christoph Grunau

Institut für Analysis und Numerik (IAN)
Fax: +49 391 67 48073
Abgeschlossene Projekte
- Randwertprobleme für Willmoreflächen - Analysis, Numerik und numerische Analysis
Laufzeit: 01.10.2008 - 31.03.2013 - Topological and geometrical methods in nonlinear higher order elliptic equationsand related (second order) parabolic problems
Laufzeit: 01.01.2005 - 31.12.2006 - Elliptische und parabolische Probleme in der Hermiteschen Geometrie
Laufzeit: 01.12.2000 - 30.09.2005
2017
Begutachteter Zeitschriftenartikel
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
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
2016
Begutachteter Zeitschriftenartikel
Boggios formula for fractional polyharmonic Dirichlet problems
In: Annali di matematica pura ed applicata. - Berlin : Springer, insges. 18 S., 2016
Herausgeberschaft
Jahresbericht der Deutschen Mathematiker-Vereinigung
In: Wiesbaden, Vieweg + Teubner, ISSN: 0012-0456, 2189033, 2016
2015
Herausgeberschaft
Jahresbericht der Deutschen Mathematiker-Vereinigung
In: Wiesbaden, Vieweg + Teubner, ISSN: 0012-0456, 2189033, 2015
2014
Begutachteter Zeitschriftenartikel
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
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
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
2013
Buchbeitrag
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
2012
Originalartikel in begutachteter zeitschriftenartiger Reihe
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)
2011
Originalartikel in begutachteter internationaler Zeitschrift
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
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
2010
Originalartikel in begutachteter internationaler Zeitschrift
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
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
Wissenschaftliche Monographie
Polyharmonic boundary value problems - positivity preserving and nonlinear higher order elliptic equations in bounded domains
In: Lecture notes in mathematics; 1991
2009
Originalartikel in begutachteter internationaler Zeitschrift
A Navier boundary value problem for Willmore surfaces of revolution
In: Analysis . - München : Oldenbourg, Bd. 29.2009, 3, S. 229-258
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
Nonlinear questions in clamped plate models
In: Milan journal of mathematics . - Basel; Berlin [u.a.] : Birkhäuser, Bd. 77.2009, 1, S. 171-204
Some new proberties of biharmonic heat kernels
In: Nonlinear analysis . - Oxford : Pergamon, Elsevier Science, ISSN 0362-546x, Bd. 70.2009, 8, S. 2965-2973
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
2008
Originalartikel in begutachteter internationaler Zeitschrift
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
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
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
Supercritical biharmonic equations with power-type nonlinearity
In: Annali di matematica pura ed applicata . - Heidelberg : Springer, Bd. 188.2009, 1, S. 171-185
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
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
2007
Originalartikel in begutachteter internationaler Zeitschrift
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
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
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
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
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
2006
Originalartikel in begutachteter internationaler Zeitschrift
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
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&amp;amp;amp;amp;amp;pi=8
2005
Originalartikel in begutachteter internationaler Zeitschrift
A semilinear fourth order elliptic problem with exponential nonlinearity.
In: SIAM Journal on mathematical analysis [Philadelphia] 36(2005), Nr. 4, S. 1226 - 1258
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
Hardy inequalities with optimal constants and remainder terms.
In: Transactions of the American Mathematical Society [Providence, RI] 356(2004), Nr. 6, S. 2149 - 2168
On a conditioned brownian motion and a maximum principle on the disk.
In: Journal d\'analyse mathématique [Jerusalem] 93(2004), S. 309 - 329
2003
Originalartikel in begutachteter internationaler Zeitschrift
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
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
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
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
Critical dimensions and higher order Sobolev inequalities with remainder terms.
In: Nonlinear differential equations and applications : NoDEA [Basel] 8(2001), S. 35 - 44
Nonexistence of local minima of supersolutions for the circular clamped plate.
In: Pacific journal of mathematics [Berkeley] 198(2001), Nr. 2, S. 437 - 442
- Prof. Dr. Filippo Gazzola, Politecnico di Milano
- Dr. Alberto Ferrero, Alessandria
- Prof. Dr. Guido Sweers, Universität zu Köln
- Prof. Dr. Frederic Robert, Nancy
- Nichtlineare partielle Diferentialgleichungen
- geometrische Analysis
- Hermitesche Geometrie
1987 | Diplom in Göttingen, Betreuer Prof. Dr. E. Heinz |
1990 | Promotion in Göttingen, Betreuer Prof. Dr. E. Heinz |
1989-1991 | wiss. Mitarbeiter TU Berlin |
1991-2001 | wiss. Ass., später Oberassistent Universität Bayreuth, Arbeitsgruppe Prof. Dr. W. von Wahl |
1996 | Habilitation |
2000-2001 | Docent/onderzoeker Universiteit Utrecht (beurlaubt in Bayreuth) |
seit 2001 | C4-Professur für Analysis, Universität Magdeburg |
2009-2016 | Herausgeber "Jahresbericht der DMV" |
seit 2016 | Dekan der Fakultät für Mathematik |