Eigenvalues Estimates for the p-Laplace Operator on Manifolds
classification
🧮 math.DG
keywords
estimatesmanifoldsadmissibledefinedeigenvalueeigenvaluesfieldsfirst
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We obtain geometric estimates for the first eigenvalue and the fundamental tone of the p-laplacian on manifolds in terms of admissible vector fields. Also, we defined a new spectral invariant and we show its relation with the geometry of the manifold.
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