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

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].

arXiv comment15 pages

Cited by in corpus (2)

• On the optimization of the first weighted eigenvalue
• On the optimization of the first weighted eigenvalue of the fractional Laplacian