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math.AP2026
Boundary Spectral Inequalities from Measurable Sets on manifolds and their applications
Lu Chen, Haolin Liu, Hongyu Liu
Let be a compact connected Riemannian manifold with nonempty boundary and a uniformly elliptic Lipschitz metric. We establish quantitative boundary…
math.AP2026
Anisotropic minimal surface equation with Dirichlet boundary condition
Lu Chen, Jiali Lan, Haolin Liu
This paper investigates the Dirichlet problem for the anisotropic minimal surface equation in a bounded domain. Under the natural assumption of non-negative boundary anisotropic me…