, Volume 224, Issue 2, pp 545-550

Gradient Estimates for the Ground State¶Schrödinger Eigenfunction and Applications

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Abstract:

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.