Wencai Liu

activity

20132026

most citedArithmetic Spectral Transitions for the Maryland Model

36 citations · 389 across the 48 of their papers we have counts for

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Showing 2017 · math.DGShow all

2 papers · 2 filters

math.DG2017★ 2 cited

Growth of the eigensolutions of Laplacians on Riemannian manifolds II: positivity of the initial energy

Wencai Liu

In this paper, energy function is used to investigate the eigen-solutions of $- Δ u + V u = λ u$ on the Riemannian manifolds. We give a new way to prove the positivity of the initial ener…

math.DG2017★ 2 cited

Growth of the eigensolutions of Laplacians on Riemannian manifolds I: construction of energy function

Wencai Liu

In this paper, we consider the eigen-solutions of $- Δ u + V u = λ u$ , where $Δ$ is the Laplacian on a non-compact complete Riemannian manifold. We develop Kato's methods on manifold and…