Eigenvalues homogenization for the fractional p−p-Laplacian operator

In this work we study the homogenization for eigenvalues of the fractional $p-$Laplace in a bounded domain both with Dirichlet and Neumann conditions. We obtain the convergence of eigenvalues and the explicit order of the convergence rates.Comment: 12 page

Convergence rates in a weighted Fucik problem

In this work we consider the Fu\u{c}ik problem for a family of weights depending on \ve with Dirichlet and Neumann boundary conditions. We study the homogenization of the spectrum. We also deal with the special case of periodic homogenization and we obtain the rate of convergence of the first non-trivial curve of the spectrum.Comment: 17 pages, 1 figur

Hardy inequalities in fractional Orlicz-Sobolev spaces

In this article we prove both norm and modular Hardy inequalities for class functions in one-dimensional fractional Orlicz-Sobolev spaces

Quasilinear eigenvalues

In this work, we review and extend some well known results for the eigenvalues of the Dirichlet $p-$Laplace operator to a more general class of monotone quasilinear elliptic operators. As an application we obtain some homogenization results for nonlinear eigenvalues.Comment: 23 pages, Rev. UMA, to appea