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

Juli\'an Fern\'andez Bonder; Leandro M. Del Pezzo

arxiv: 0906.2985 · v1 · pith:C5G2EODSnew · submitted 2009-06-16 · 🧮 math.AP · math.OC

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

Leandro M. Del Pezzo , Juli\'an Fern\'andez Bonder This is my paper

classification 🧮 math.AP math.OC

keywords potentialproblemeigenvaluefirstplusweightallowedclass

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

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