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

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

2009-06-16

arxiv.org/abs/0906.2985v1

Proc. Amer. Math. Soc. 138 (2010), no. 10, 3551-3567

Mathematics

Analysis of PDEs

15 pages

Scientific paper

10.1090/S0002-9939-10-10384-0

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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