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

preprint2009arXivOpen access

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].

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