Growth of the eigensolutions of Laplacians on Riemannian manifolds II: positivity of the initial energy
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abstract
In this paper, energy function is used to investigate the eigen-solutions of $-Delta u+ Vu=lambda u$ on the Riemannian manifolds. We give a new way to prove the positivity of the initial energy of energy function, which leads to a simple way to obtain the growth of eigen-solutions.
