1 citations · 2 across the 6 of their papers we have counts for
8 papers
Isoparametric foliations and the Pompeiu problem
Luigi Provenzano, Alessandro Savo
A bounded domain in a Riemannian manifold is said to have the Pompeiu property if the only continuous function which integrates to zero on and on all its congruent imag…
Upper bounds for the Steklov eigenvalues of the -Laplacian
Luigi Provenzano
In this note we present upper bounds for the variational eigenvalues of the Steklov -Laplacian on domains of , . We show that for the variation…
Conformal upper bounds for the eigenvalues of the -Laplacian
Bruno Colbois, Luigi Provenzano
In this note we present upper bounds for the variational eigenvalues of the -Laplacian on smooth domains of complete -dimensional Riemannian manifolds and Neumann boundary co…
Inequalities between Dirichlet and Neumann eigenvalues of the Polyharmonic operators
Luigi Provenzano
We prove that , where () are the eigenvalues of on , , with Neumann (Dirichlet) boundary conditions.
Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results
Bruno Colbois, Luigi Provenzano
We study an eigenvalue problem for the biharmonic operator with Neumann boundary conditions on domains of Riemannian manifolds. We discuss the weak formulation and the classical bo…
Complementary asymptotically sharp estimates for eigenvalue means of Laplacians
Evans M. Harrell, Luigi Provenzano, Joachim Stubbe
We present asymptotically sharp inequalities, containing a second term, for the Dirichlet and Neumann eigenvalues of the Laplacian on a domain, which are complementary to the famil…