Prof. Melanie Rupflin

Melanie Rupflin: Sharp quantitative rigidity results for maps from S^2 to S^2 of general degree, arXiv:2305.17045

Melanie Rupflin: Low energy levels of harmonic maps into analytic manifolds, arxiv:2303.00389

Melanie Rupflin: Convergence of almost harmonic maps to geodesic bubble trees, arXiv:2210.13367

Melanie Rupflin: Lojasiewicz inequalities for almost harmonic maps near simple bubble trees, arXiv:2101.05527

Andrea Malchiodi, Melanie Rupflin, Ben Sharp:  Łojasiewicz inequalities near simple bubble trees, to appear in American Journal of Mathematics, arxiv:2007.07017

James Kohout, Melanie Rupflin, Peter M. Topping: Uniqueness and nonuniqueness of limits of Teichmueller harmonic map flow, Adv. Calc. Var 15 (2022)  arXiv:1909.06422

Melanie Rupflin: Hyperbolic metrics on surfaces with boundary,  J. Geom. Anal. 31, 3117-3136,  (2021) arXiv:1807.04464

Craig Robertson, Melanie Rupflin: Finite-time degeneration for variants of Teichmüller harmonic map flow, J. London Math. Society (2) 2020, arXiv:1807.06363

Melanie Rupflin, Peter M. Topping: Global weak solutions of the Teichmüller harmonic map flow into general targets, 
Anal. PDE 12 (2019), arXiv:1709.01881

Nadine Große, Melanie Rupflin: Holomorphic quadratic differentials dual to Fenchel-Nielsen coordinates, 
Ann. Global Anal. Geom. 55 (2019), arXiv:1806.04384

Melanie Rupflin, Matthew R. I. Schrecker: Analysis of boundary bubbles for almost minimal cylinders, 
Calc. Var. Partial Differential Equations 57 (2018), arXiv:1707.07985

Nadine Grosse and Melanie Rupflin: Sharp eigenvalue estimates on degenerating surfaces, 
Comm. Partial Differential Equations 44 (2019), 573-612, arXiv:1701.08491

Melanie Rupflin and Peter M. Topping: Horizontal curves of hyperbolic metrics,
Calc. Var. PDE 57 (2018),  arXiv:1605.06691

Reto Müller and Melanie Rupflin:  Smooth long-time existence of Harmonic-Ricci Flow on surfaces, J. Lond. Math. Soc. 95 (2017), arXiv:1510.03643

Tobias Huxol, Melanie Rupflin, Peter M. Topping: Refined asymptotics of the Teichmüller harmonic map flow into general targets, 
Calc. Var. PDEs 55 (2016), arXiv:1502.05791

Melanie Rupflin, Teichmüller harmonic map flow from cylinders,
Mathematische Annalen, 368 (2017), 1227-1276, arXiv:1501.07552

Melanie Rupflin, Oliver C. Schnürer:  Weak solutions to mean curvature flow respecting obstacles, to appear in Ann. Sc. Norm. Super. Pisa,  arXiv:1409.7529

Melanie Rupflin and Peter M. Topping: Teichmüller harmonic map flow into nonpositively curved targets, 
J. Differential Geom. 108 (2018),  arXiv:1403.3195

Melanie Rupflin and Peter M. Topping: A uniform Poincaré estimate for quadratic differentials on closed surfaces, Calc. Var. PDE 53 (2015),  MR3347472

Melanie Rupflin, Peter M. Topping and Miaomiao Zhu: Asymptotics of the Teichmüller harmonic map flow, Adv. Math. 244 (2013), MR3115138

Melanie Rupflin: Flowing maps to minimal surfaces: Existence and uniqueness of solutions Ann. Inst. H. Poincaré Anal. Non Linéaire 31 (2014), no. 2, MR3181674

Melanie Rupflin and Peter M. Topping: Flowing to minimal surfaces,  American Journal of Mathematics 
138 (2016), arXiv:1205.6298