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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,…
math.SP2003
Commutators, eigenvalue gaps, and mean curvature in the theory of Schrödinger operators
Evans M. Harrell
Commutator relations are used to investigate the spectra of Schrödinger Hamiltonians, acting on functions of a smooth, compact -dimensional manifold immers…