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arXiv · 0906.2985

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

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 $p-$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 $V_0$ and weight $g_0$. Our results generalized those obtained in [9] and [5].

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Leandro M. Del Pezzo, Julián Fernández Bonder. 2009-06-16. An optimization problem for the first weighted eigenvalue problem plus a potential. https://doi.org/10.1090/s0002-9939-10-10384-0

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