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In this work we study the asymptotic distribution of eigenvalues in one-dimensional open sets. The method of proof is rather elementary, based on the Dirichlet lattice points problem, which enable us to consider sets with infinite measure. Also, we derive some estimates for the the spectral counting function of the Laplace operator on unbounded… (More)

- Julián Fernández Bonder, Antonella Ritorto, Ariel Martin Salort
- SIAM J. Math. Analysis
- 2017

- QUASILINEAR EIGENVALUES, Julián Fernández Bonder, Juan Pablo Pinasco, Ariel Martin Salort, Ariel Martin Salort
- 2015

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.

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