Gradient Estimates for the Ground State¶Schrödinger Eigenfunction and Applications
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- Bañuelos, R. & Kröger, P. Commun. Math. Phys. (2001) 224: 545. doi:10.1007/s002200100551
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Let Ω be a planar convex domain which is symmetric with respect to each coordinate axes. In this paper we give a simple and very short proof, based on the maximum principle, of the sharp lower bound \(\) for the spectral gap of the Dirichlet Laplacian in Ω.