3 citations · 3 across the 1 of their papers we have counts for
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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…
Remarks on an optimization problem for the 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 Laplace operator that were motivated by some discussion the…
Some optimization problems for nonlinear elastic membranes
L. Del Pezzo, J. Fernandez Bonder
In this paper we study some optimization problems for nonlinear elastic membranes. More precisely, we consider the problem of optimizing the cost functional $\J(u)=\int_{\partialΩ}…
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 with a constrain on the volume of . We consider a penalization problem, and we prove that for sm…