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The fundamental gap for a one-dimensional Schrödinger operator with Robin boundary conditions (2002.06900v1)
Published 17 Feb 2020 in math.CA and math.SP
Abstract: For Schr\"odinger operators on an interval with either convex or symmetric single-well potentials, and Robin or Neumann boundary conditions, the gap between the two lowest eigenvalues is minimised when the potential is constant. We also have results for the $p$-Laplacian.
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