Julián Fernández Bonder

collaborators

5 papers

math.AP2009

Refined asymptotics for eigenvalues on domains of infinite measure

J. Fernandez Bonder, J. P. Pinasco, A. M. Salort

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 probl…

math.AP2009★ 34 cited

The concentration-compactness principle for variable exponent spaces and applications

J. Fernandez Bonder, A. Silva

In this paper we extend the well-known concentration -- compactness principle of P.L. Lions to the variable exponent case. We also give some applications to the existence problem f…

math.AP2009

A Free boundary problem for the $p (x)$ - Laplacian

Julián Fernández Bonder, Sandra Martínez, Noemi Wolanski

We consider the optimization problem of minimizing $\int_{Ω} ∣\nabla u ∣^{p (x)} + λ χ_{{u > 0}} d x$ in the class of functions $W^{1, p (\cdot)} (Ω)$ with $u - ϕ_{0} \in W_{0}^{1, p (\cdot)} (Ω)$ , for…

math.AP2009★ 1 cited

Remarks on an optimization problem for the $p -$ Laplacian

Leandro Del Pezzo, Julián Fernández Bonder

In this note we give some remarks and improvements on a recent paper of us [3] about an optimization problem for the $p -$ Laplace operator that were motivated by some discussion the…

math.AP2006★ 3 cited

An optimization problem with volume constrain for a degenerate quasilinear operator

Julian Fernandez Bonder, Sandra Martinez, Noemi Wolanski

We consider the optimization problem of minimizing $\int_{Ω} ∣\nabla u ∣^{p} d x$ with a constrain on the volume of ${u > 0}$ . We consider a penalization problem, and we prove that for sm…