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  1. No Access

    Article

    Rigidity and quantitative stability for partially overdetermined problems and capillary CMC hypersurfaces

    In this paper, we first prove a rigidity result for a Serrin-type partially overdetermined problem in the half-space, which gives a characterization of capillary spherical caps by the overdetermined problem. I...

    **aohan Jia, Zheng Lu, Chao **a, Xuwen Zhang in Calculus of Variations and Partial Differe… (2024)

  2. Article

    Open Access

    Alexandrov’s Theorem for Anisotropic Capillary Hypersurfaces in the Half-Space

    In this paper, we show that any embedded capillary hypersurface in the half-space with anisotropic constant mean curvature is a truncated Wulff shape. This extends Wente’s result (Pac J Math 88:387–397, 1980. ...

    **aohan Jia, Guofang Wang, Chao **a… in Archive for Rational Mechanics and Analysis (2023)

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  3. No Access

    Article

    Overdetermined problems for Weingarten hypersurfaces

    Given a bounded domain of \({{\mathbb {R}}}^{n}\)Rn of class \( C^{2}\)C2, we prove the symmetry of solutions to overdetermined problems obtained by adding both zero Dirichlet and constant Neumann boundary condit...

    **aohan Jia in Calculus of Variations and Partial Differential Equations (2020)