Stationary surfaces with boundaries
نویسندگان
چکیده
This article investigates stationary surfaces with boundaries, which arise as the critical points of functionals dependent on curvature. Precisely, a generalized “bending energy” functional $$\mathcal {W}$$ is considered involves Lagrangian that symmetric in principal curvatures. The first variation computed, and stress tensor extracted whose divergence quantifies deviation from -criticality. Boundary-value problems are then examined, characterization free-boundary -surfaces rotational symmetry given for scaling-invariant -functionals. In case not scaling-invariant, certain boundary-to-interior consequences discussed. Finally, some applications to conformal Willmore energy p-Willmore presented.
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ژورنال
عنوان ژورنال: Annals of Global Analysis and Geometry
سال: 2022
ISSN: ['1572-9060', '0232-704X']
DOI: https://doi.org/10.1007/s10455-022-09850-4