15 citations · 18 across the 4 of their papers we have counts for
6 papers
Sharp estimates for the first -Laplacian eigenvalue and for the -torsional rigidity on convex sets with holes
Gloria Paoli, Gianpaolo Piscitelli, Leonardo Trani
We study, in dimension , the eigenvalue problem and the torsional rigidity for the -Laplacian on convex sets with holes, with external Robin boundary conditions and inte…
A quantitative Weinstock inequality
Nunzia Gavitone, Domenico Angelo La Manna, Gloria Paoli +1
The paper is devoted to the study of a quantitative Weinstock inequality in higher dimension for the first non trivial Steklov eigenvalue of Laplace operator for convex sets. The k…
Two estimates for the first Robin eigenvalue of the Finsler Laplacian with negative boundary parameter
Gloria Paoli, Leonardo Trani
We prove two bounds for the first Robin eigenvalue of the Finsler Laplacian with negative boundary parameter in the planar case. In the constant area problem, we show that the Wulf…
Anisotropic Isoperimetric Inequalities involving Boundary Momentum, Perimeter and Volume
Gloria Paoli, Leonardo Trani
We consider a scale invariant functional involving the anisotropic momentum, the anisotropic perimeter and the volume. We show that the Wulff shape, associated with the Finsler…
On the first Robin eigenvalue of a class of anisotropic operators
Nunzia Gavitone, Leonardo Trani
The paper is devoted to the study of some properties of the first eigenvalue of the anisotropic -Laplace operator with Robin boundary condition involving a function which in…
Some Remarks on Robin-Laplacian Eigenvalues
Leonardo Trani
We study some properties of Laplacian eigenvalues with negative Robin boundary conditions. We will show some monotonicity properties on annuli of the first eigenvalue by means of s…