34 citations · 137 across the 41 of their papers we have counts for
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Multiple solutions for the laplace operator with critical growth
Analía Silva
The aim of this paper is to extend previous results regarding the multiplicity of solutions for quasilinear elliptic problems with critical growth to the variable exponent case. We…
An optimization problem for the first weighted eigenvalue problem plus a potential
Leandro M. Del Pezzo, Julián Fernández Bonder
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 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…