Leandro M. Del Pezzo

AN OPTIMIZATION PROBLEM FOR THE FIRST WEIGHTED EIGENVALUE PROBLEM PLUS A POTENTIAL

In this paper, we study the problem of minimizing the first eigenvalue of the Laplacian plus a potential with weights when the potential and the weight are allowed to vary in the class of rearrangements of a given fixed potential and weight . Our results generalize those obtained in earlier papers.

Finite Element Approximation for the Fractional Eigenvalue Problem

The purpose of this work is to study a finite element method for finding solutions to the eigenvalue problem for the fractional Laplacian. We prove that the discrete eigenvalue problem converges to the continuous one and we show the order of such convergence. Finally, we perform some numerical experiments and compare our results with previous work by other authors.

The first eigenvalue of the p-Laplacian on quantum graphs

We study the first eigenvalue of the

The unique continuation property for a nonlinear equation on trees

p-

Remarks on an optimization problem for the p-Laplacian

p-Laplacian (with

Optimal boundary holes for the Sobolev trace constant

1<p<\infty