Xuwen Zhang

I am a postdoctoral researcher in the group of Prof. Ernst Kuwert and Prof. Guofang Wang. My research focuses on Differential Geometry and Geometric Analysis. My recent interests are minimal surfaces and geometric boundary value problems, such as free boundary/capillary boundary problems.

Contact Information

Address
Albert-Ludwigs-Universität Freiburg
Mathematisches Institut
Ernst-Zermelo-Straße 1
79104 Freiburg im Breisgau, Germany

Office
Room 214, Ernst-Zermelo-Straße 1

E-Mail
xuwen.zhang@math.uni-freiburg.de

Personal homepage
https://sites.google.com/view/xuwenzhang/homepage

Selected Publications and Preprints

• Half-space Liouville-type theorems for minimal graphs with capillary boundary (with Guofang Wang, Wei Wei). arXiv:2506.03417

• Compactness of capillary hypersurfaces with mean curvature prescribed by ambient functions. arXiv:2503.19053

• Varifolds with capillary boundary (with Guofang Wang). arXiv:2503.19052

• Monotonicity formulas for capillary surfaces (with Guofang Wang, Chao Xia). arXiv:2409.03314

• Heintze-Karcher inequality and capillary hypersurfaces in a wedge (with Xiaohan Jia, Guofang Wang, Chao Xia), Ann. Sc. Norm. Super. Pisa Cl. Sci. arXiv:2209.13839

• Willmore-type inequality in unbounded convex sets (with Xiaohan Jia, Guofang Wang, Chao Xia), J. Lond. Math. Soc. (2) 111 (2025), no. 3, Paper No. e70105. https://doi.org/10.1112/jlms.70105

• Stability of the Wulff shape with respect to anisotropic curvature functionals (with Julian Scheuer), J. Funct. Anal. (2) 288 (2025), no. 3, Paper No. 110715. https://doi.org/10.1016/j.jfa.2024.110715

• Alexandrov's theorem for anisotropic capillary hypersurfaces in the half-space (with Xiaohan Jia, Guofang Wang, Chao Xia), Arch. Ration. Mech. Anal. 247 (2023), no.2, Paper No. 25. https://doi.org/10.1007/s00205-023-01861-0