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math.SP2004
On the fundamental eigenvalue ratio of the p-Laplacian
J. Fleckinger, E. M. Harrell, F. de Thélin
It is shown that the fundamental eigenvalue ratio λ_2 / λ_1 of the p-Laplacian is bounded by a quantity depending only on the dimension N and p.
math.SP2004
Geometric lower bounds for the spectrum of elliptic PDEs with Dirichlet conditions in part
Evans M. Harrell
An extension of the lower-bound lemma of Boggio is given for the weak forms of certain elliptic operators, which have partially Dirichlet and partially Neumann boundary conditions,…