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An optimization problem for the first weighted eigenvalue problem plus a potential

Analysis of PDEs 2011-06-30 v1 Optimization and Control
Authors: Leandro M. Del Pezzo , Julián Fernández Bonder
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Abstract

In this paper, we study the problem of minimizing the first eigenvalue of the p−p-Laplacian plus a potential with weights, when the potential and the weight are allowed to vary in the class of rearrangements of a given fixed potential V0V_0 and weight g0g_0. Our results generalized those obtained in [9] and [5].

Keywords

laplacian eigenvalues optimization and approximation theory

Cite

@article{arxiv.0906.2985,
  title  = {An optimization problem for the first weighted eigenvalue problem plus a potential},
  author = {Leandro M. Del Pezzo and Julián Fernández Bonder},
  journal= {arXiv preprint arXiv:0906.2985},
  year   = {2011}
}

Comments

15 pages

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