Lieb-Thirring inequalities on some manifolds
classification
🧮 math.SP
math.AP
keywords
inequalitieslieb-thirringnegativetwo-dimensionalboundcaseconstantseigenvalues
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We prove Lieb-Thirring inequalities with improved constants on the two-dimensional sphere and the two-dimensional torus. In the one-dimensional periodic case we obtain a simultaneous bound for the negative trace and the number of negative eigenvalues.
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