Eichmann, Sascha; Grunau, Hans-Christoph Existence for Willmore surfaces of revolution satisfying non-symmetric Dirichlet boundary conditions. (English) Zbl 1426.49044 Adv. Calc. Var. 12, No. 4, 333-361 (2019). MSC: 49Q10 53C42 34B30 34C20 35J62 34L30 PDFBibTeX XMLCite \textit{S. Eichmann} and \textit{H.-C. Grunau}, Adv. Calc. Var. 12, No. 4, 333--361 (2019; Zbl 1426.49044) Full Text: DOI
Grunau, Hans-Christoph; Sweers, Guido In any dimension a “clamped plate” with a uniform weight may change sign. (English) Zbl 1285.35019 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 97, 119-124 (2014). MSC: 35J40 35B09 35J08 PDFBibTeX XMLCite \textit{H.-C. Grunau} and \textit{G. Sweers}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 97, 119--124 (2014; Zbl 1285.35019) Full Text: DOI
Grunau, Hans-Christoph The asymptotic shape of a boundary layer of symmetric Willmore surfaces of revolution. (English) Zbl 1253.49032 Bandle, Catherine (ed.) et al., Inequalities and Applications ’10. Dedicated to the memory of Wolfgang Walter. Selected papers of the 2nd conference on inequalities and applications, Hajdúszoboszló, Hungary, September 19–25, 2010. Basel: Birkhäuser (ISBN 978-3-0348-0248-2/hbk; 978-3-0348-0249-9/ebook). ISNM. International Series of Numerical Mathematics 161, 19-29 (2012). MSC: 49Q10 53C42 35J65 34L30 PDFBibTeX XMLCite \textit{H.-C. Grunau}, ISNM, Int. Ser. Numer. Math. 161, 19--29 (2012; Zbl 1253.49032) Full Text: DOI
Dall’Acqua, Anna; Fröhlich, Steffen; Grunau, Hans-Christoph; Schieweck, Friedhelm Symmetric Willmore surfaces of revolution satisfying arbitrary Dirichlet boundary data. (English) Zbl 1213.49050 Adv. Calc. Var. 4, No. 1, 1-81 (2011). MSC: 49Q10 53C42 35J65 34L30 49M30 PDFBibTeX XMLCite \textit{A. Dall'Acqua} et al., Adv. Calc. Var. 4, No. 1, 1--81 (2011; Zbl 1213.49050) Full Text: DOI
Grunau, Hans-Christoph; Robert, Frédéric Positivity and almost positivity of biharmonic Green’s functions under Dirichlet boundary conditions. (English) Zbl 1200.35090 Arch. Ration. Mech. Anal. 195, No. 3, 865-898 (2010). Reviewer: Lubomira Softova (Aversa) MSC: 35J30 35J08 35J40 74K20 PDFBibTeX XMLCite \textit{H.-C. Grunau} and \textit{F. Robert}, Arch. Ration. Mech. Anal. 195, No. 3, 865--898 (2010; Zbl 1200.35090) Full Text: DOI arXiv
Grunau, Hans-Christoph; Robert, Frédéric Boundedness of the negative part of biharmonic Green’s functions under Dirichlet boundary conditions in general domains. (English) Zbl 1168.35008 C. R., Math., Acad. Sci. Paris 347, No. 3-4, 163-166 (2009). MSC: 35J40 35A08 PDFBibTeX XMLCite \textit{H.-C. Grunau} and \textit{F. Robert}, C. R., Math., Acad. Sci. Paris 347, No. 3--4, 163--166 (2009; Zbl 1168.35008) Full Text: DOI
Dall’Acqua, Anna; Deckelnick, Klaus; Grunau, Hans-Christoph Classical solutions to the Dirichlet problem for Willmore surfaces of revolution. (English) Zbl 1194.49060 Adv. Calc. Var. 1, No. 4, 379-397 (2008). MSC: 49Q10 53C42 35J65 34L30 PDFBibTeX XMLCite \textit{A. Dall'Acqua} et al., Adv. Calc. Var. 1, No. 4, 379--397 (2008; Zbl 1194.49060) Full Text: DOI
Grunau, Hans-Christoph Positive solutions to semilinear polyharmonic Dirichlet problems involving critical Sobolev exponents. (English) Zbl 0822.35049 Calc. Var. Partial Differ. Equ. 3, No. 2, 243-252 (1995). MSC: 35J65 35J40 35P30 49K20 PDFBibTeX XMLCite \textit{H.-C. Grunau}, Calc. Var. Partial Differ. Equ. 3, No. 2, 243--252 (1995; Zbl 0822.35049) Full Text: DOI