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## Kuwert, Ernst Christoph

Compute Distance To:
 Author ID: kuwert.ernst-christoph Published as: Kuwert, Ernst; Kuwert, Ernst Christoph External Links: MGP
 Documents Indexed: 27 Publications since 1990, including 1 Book
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#### Co-Authors

 9 single-authored 9 Schatzle, Reiner 4 Li, Yuxiang 1 Alessandroni, Roberta 1 Bauer, Matthias 1 Bürger, Wolfram 1 Duzaar, Frank 1 Dziuk, Gerhard 1 Lamm, Tobias 1 Lorenz, Johannes 1 Mondino, Andrea 1 Schygulla, Johannes
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#### Serials

 3 Calculus of Variations and Partial Differential Equations 2 Journal of Differential Geometry 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 SIAM Journal on Mathematical Analysis 2 Communications in Analysis and Geometry 1 American Journal of Mathematics 1 Duke Mathematical Journal 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Annals of Global Analysis and Geometry 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 IMRN. International Mathematics Research Notices 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
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#### Fields

 19 Differential geometry (53-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 10 Partial differential equations (35-XX) 6 Global analysis, analysis on manifolds (58-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

25 Publications have been cited 414 times in 238 Documents Cited by Year
Evolution of elastic curves in $$\mathbb R^n$$: Existence and computation. Zbl 1031.53092
Dziuk, Gerhard; Kuwert, Ernst; Schatzle, Reiner
2002
Removability of point singularities of Willmore surfaces. Zbl 1078.53007
Kuwert, Ernst; Schätzle, Reiner
2004
The Willmore flow with small initial energy. Zbl 1035.53092
Kuwert, Ernst; Schätzle, Reiner
2001
Gradient flow for the Willmore functional. Zbl 1029.53082
Kuwert, Ernst; Schätzle, Reiner
2002
Existence of minimizing Willmore surfaces of prescribed genus. Zbl 1029.53073
Bauer, Matthias; Kuwert, Ernst
2003
$$W^{2,2}$$-conformal immersions of a closed Riemann surface into $$\mathbb{R}^n$$. Zbl 1271.53010
Kuwert, Ernst; Li, Yuxiang
2012
Minimizers of the Willmore functional under fixed conformal class. Zbl 1276.53010
Kuwert, Ernst; Schätzle, Reiner
2013
Minimization of conformally invariant energies in homotopy classes. Zbl 0909.49008
Duzaar, Frank; Kuwert, Ernst
1998
The large genus limit of the infimum of the Willmore energy. Zbl 1188.53057
Kuwert, Ernst; Li, Yuxiang; Schätzle, Reiner
2010
The Willmore functional. Zbl 1322.53002
Kuwert, Ernst; Schätzle, Reiner
2012
Closed surfaces with bounds on their Willmore energy. Zbl 1260.53027
Kuwert, Ernst; Schätzle, Reiner
2012
Note on the isoperimetric profile of a convex body. Zbl 1029.35009
Kuwert, Ernst
2003
Existence of immersed spheres minimizing curvature functionals in compact 3-manifolds. Zbl 1295.53028
Kuwert, Ernst; Mondino, Andrea; Schygulla, Johannes
2014
Branch points of Willmore surfaces. Zbl 1130.53007
Kuwert, Ernst; Schätzle, Reiner
2007
Harmonic maps between flat surfaces with conical singularities. Zbl 0871.58028
Kuwert, Ernst
1996
Minimizing the energy of maps from a surface into a 2-sphere with prescribed degree and boundary values. Zbl 0808.58017
Kuwert, Ernst
1994
Area-minimizing disks with free boundary and prescribed enclosed volume. Zbl 1166.53005
Bürger, Wolfram; Kuwert, Ernst
2008
Embedded solutions for exterior minimal surface problems. Zbl 0717.49034
Kuwert, Ernst Christoph
1990
Local solutions to a free boundary problem for the Willmore functional. Zbl 1344.49066
Alessandroni, Roberta; Kuwert, Ernst
2016
Two-dimensional curvature functionals with superquadratic growth. Zbl 1332.53011
Kuwert, Ernst; Lamm, Tobias; Li, Yuxiang
2015
On the stability of the CMC Clifford tori as constrained Willmore surfaces. Zbl 1273.53005
Kuwert, Ernst; Lorenz, Johannes
2013
A compactness result for loops with an $$H^{\frac 12}$$-bound. Zbl 0933.58014
Kuwert, Ernst
1998
Asymptotics of Willmore minimizers with prescribed small isoperimetric ratio. Zbl 1396.53006
Kuwert, Ernst; Li, Yuxiang
2018
On solutions of the exterior Dirichlet problem for the minimal surface equation. Zbl 0820.35038
Kuwert, Ernst
1993
Embedded solutions for exterior minimal surface problems. Zbl 0744.53004
Kuwert, Ernst Christoph
1990
Asymptotics of Willmore minimizers with prescribed small isoperimetric ratio. Zbl 1396.53006
Kuwert, Ernst; Li, Yuxiang
2018
Local solutions to a free boundary problem for the Willmore functional. Zbl 1344.49066
Alessandroni, Roberta; Kuwert, Ernst
2016
Two-dimensional curvature functionals with superquadratic growth. Zbl 1332.53011
Kuwert, Ernst; Lamm, Tobias; Li, Yuxiang
2015
Existence of immersed spheres minimizing curvature functionals in compact 3-manifolds. Zbl 1295.53028
Kuwert, Ernst; Mondino, Andrea; Schygulla, Johannes
2014
Minimizers of the Willmore functional under fixed conformal class. Zbl 1276.53010
Kuwert, Ernst; Schätzle, Reiner
2013
On the stability of the CMC Clifford tori as constrained Willmore surfaces. Zbl 1273.53005
Kuwert, Ernst; Lorenz, Johannes
2013
$$W^{2,2}$$-conformal immersions of a closed Riemann surface into $$\mathbb{R}^n$$. Zbl 1271.53010
Kuwert, Ernst; Li, Yuxiang
2012
The Willmore functional. Zbl 1322.53002
Kuwert, Ernst; Schätzle, Reiner
2012
Closed surfaces with bounds on their Willmore energy. Zbl 1260.53027
Kuwert, Ernst; Schätzle, Reiner
2012
The large genus limit of the infimum of the Willmore energy. Zbl 1188.53057
Kuwert, Ernst; Li, Yuxiang; Schätzle, Reiner
2010
Area-minimizing disks with free boundary and prescribed enclosed volume. Zbl 1166.53005
Bürger, Wolfram; Kuwert, Ernst
2008
Branch points of Willmore surfaces. Zbl 1130.53007
Kuwert, Ernst; Schätzle, Reiner
2007
Removability of point singularities of Willmore surfaces. Zbl 1078.53007
Kuwert, Ernst; Schätzle, Reiner
2004
Existence of minimizing Willmore surfaces of prescribed genus. Zbl 1029.53073
Bauer, Matthias; Kuwert, Ernst
2003
Note on the isoperimetric profile of a convex body. Zbl 1029.35009
Kuwert, Ernst
2003
Evolution of elastic curves in $$\mathbb R^n$$: Existence and computation. Zbl 1031.53092
Dziuk, Gerhard; Kuwert, Ernst; Schatzle, Reiner
2002
Gradient flow for the Willmore functional. Zbl 1029.53082
Kuwert, Ernst; Schätzle, Reiner
2002
The Willmore flow with small initial energy. Zbl 1035.53092
Kuwert, Ernst; Schätzle, Reiner
2001
Minimization of conformally invariant energies in homotopy classes. Zbl 0909.49008
Duzaar, Frank; Kuwert, Ernst
1998
A compactness result for loops with an $$H^{\frac 12}$$-bound. Zbl 0933.58014
Kuwert, Ernst
1998
Harmonic maps between flat surfaces with conical singularities. Zbl 0871.58028
Kuwert, Ernst
1996
Minimizing the energy of maps from a surface into a 2-sphere with prescribed degree and boundary values. Zbl 0808.58017
Kuwert, Ernst
1994
On solutions of the exterior Dirichlet problem for the minimal surface equation. Zbl 0820.35038
Kuwert, Ernst
1993
Embedded solutions for exterior minimal surface problems. Zbl 0717.49034
Kuwert, Ernst Christoph
1990
Embedded solutions for exterior minimal surface problems. Zbl 0744.53004
Kuwert, Ernst Christoph
1990
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#### Cited by 242 Authors

 20 Wheeler, Glen E. 12 Lamm, Tobias 10 Garcke, Harald 10 Rivière, Tristan 9 Dall’Acqua, Anna 9 McCoy, James Alexander 9 Mondino, Andrea 9 Schatzle, Reiner 8 Kuwert, Ernst Christoph 8 Nürnberg, Robert 7 Barrett, John W. 7 Chen, Jingyi 7 Deckelnick, Klaus 7 Grunau, Hans-Christoph 7 Lin, Chun-Chi 7 Okabe, Shinya 6 Li, Yuxiang 6 Pozzi, Paola 5 Novaga, Matteo 4 Bernard, Yann 4 Eichmann, Sascha 4 Milman, Emanuel 3 Blatt, Simon 3 Dziuk, Gerhard 3 Fröhlich, Steffen 3 Liu, Yannan 3 Mäder-Baumdicker, Elena 3 Nguyen, Huy The 3 Oberhuber, Tomás 3 Parkins, Scott 3 Ritoré, Manuel 3 Schwetlick, Hartmut R. 3 Schygulla, Johannes 3 Spener, Adrian 3 Streets, Jeffrey D. 3 Vernadakis, Efstratios 3 Wang, Peng 3 Wu, Yuhan 2 Abels, Helmut 2 Arroja Neves, André 2 Bergner, Matthias 2 Breuning, Patrick 2 Butz, Julia 2 Dondl, Patrick Werner 2 Heller, Lynn 2 Hornung, Peter 2 Jian, Huaiyu 2 Lin, Fang Hua 2 Lue, Yang-Kai 2 Luo, Yong 2 Ma, John Man Shun 2 Magni, Annibale 2 Malchiodi, Andrea 2 Marques, Fernando Codá 2 Menne, Ulrich 2 Menzel, Julia H. 2 Metzger, Jan 2 Miura, Tatsuya 2 Ndiaye, Cheikh Birahim 2 Pierre, Morgan 2 Pluda, Alessandra 2 Rodiac, Rémy 2 Röger, Matthias 2 Rumpf, Martin 2 Schieweck, Friedhelm 2 Wang, Youde 2 Wei, Guodong 2 Wheeler, Valentina-Mira 2 Wojtowytsch, Stephan 2 Yoshizawa, Kensuke 1 Aiolfi, Ari J. 1 Alessandroni, Roberta 1 Alexakis, Spyros 1 Angelsberg, Gilles 1 Bänsch, Eberhard 1 Bartels, Sören 1 Beneš, Michal 1 Bourni, Theodora 1 Brazda, Katharina 1 Brendle, Simon 1 Bretin, Elie 1 Brogan, Patrick 1 Cao, Linfen 1 Carlini, Elisabetta 1 Chen, Jingmin 1 Chen, Li 1 Chen, Xingdi 1 Chill, Ralph 1 Citti, Giovanna 1 Clarenz, Ulrich 1 Cooper, Matthew K. 1 Da Lio, Francesca 1 Dayrens, François 1 Diewald, Udo 1 Doemeland, Marco 1 Dörfler, Willibald 1 Edwards, Maureen P. 1 Elliott, Charles M. 1 Falcone, Maurizio 1 Fall, Mouhamed Moustapha ...and 142 more Authors
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#### Cited in 85 Serials

 31 Calculus of Variations and Partial Differential Equations 13 The Journal of Geometric Analysis 11 Mathematische Annalen 9 Archive for Rational Mechanics and Analysis 9 Mathematische Zeitschrift 8 Geometric Flows 7 Journal of Differential Equations 6 Advances in Mathematics 6 Duke Mathematical Journal 6 Transactions of the American Mathematical Society 6 Annals of Global Analysis and Geometry 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Advances in Calculus of Variations 4 Journal of Computational Physics 4 Numerische Mathematik 4 Communications in Partial Differential Equations 4 SIAM Journal on Mathematical Analysis 3 Mathematics of Computation 3 Journal für die Reine und Angewandte Mathematik 3 Kybernetika 3 Manuscripta Mathematica 3 Proceedings of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Acta Mathematica Sinica. English Series 2 Journal of Mathematical Analysis and Applications 2 Geometriae Dedicata 2 Inventiones Mathematicae 2 SIAM Journal on Numerical Analysis 2 Journal of Scientific Computing 2 Journal of Elasticity 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Scientific Computing 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Annals of Mathematics. Second Series 2 Analysis (München) 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Contemporary Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Nonlinearity 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 SIAM Journal on Control and Optimization 1 Tohoku Mathematical Journal. Second Series 1 Chinese Annals of Mathematics. Series B 1 Computer Aided Geometric Design 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Science in China. Series A 1 International Journal of Mathematics 1 European Journal of Applied Mathematics 1 Differential Geometry and its Applications 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Geometric and Functional Analysis. GAFA 1 Applied Mathematics. Series B (English Edition) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Mathematical Chemistry 1 Computing and Visualization in Science 1 Geometry & Topology 1 Journal of High Energy Physics 1 Journal of Evolution Equations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Fixed Point Theory and Applications 1 Frontiers of Mathematics in China 1 Science China. Mathematics 1 Bulletin of Mathematical Sciences 1 S$$\vec{\text{e}}$$MA Journal 1 Advances in Nonlinear Analysis 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 32 Fields

 161 Differential geometry (53-XX) 113 Partial differential equations (35-XX) 75 Calculus of variations and optimal control; optimization (49-XX) 56 Global analysis, analysis on manifolds (58-XX) 27 Numerical analysis (65-XX) 17 Mechanics of deformable solids (74-XX) 9 Fluid mechanics (76-XX) 8 Ordinary differential equations (34-XX) 6 Convex and discrete geometry (52-XX) 6 Manifolds and cell complexes (57-XX) 6 Biology and other natural sciences (92-XX) 5 Real functions (26-XX) 5 Functional analysis (46-XX) 4 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)