Extremal properties of the first eigenvalue of Schrödinger-type operators

Lino Notarantonio

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arXiv · math/9804089

Extremal properties of the first eigenvalue of Schrödinger-type operators

Lino Notarantonio

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Abstract

Given a separable, locally compact Hausdorff space $X$ and a positive Radon measure $m(dx)$ on it, we study the problem of finding the potential $V(x) \ge 0$ that maximizes the first eigenvalue of the Schrödinger-type operator $L+V(x)$; $L$ is the generator of a local Dirichlet form $(a, D[a])$ on $L^2(X, m(dx))$.

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BibTeX RIS

Lino Notarantonio. 1998-04-20. Extremal properties of the first eigenvalue of Schrödinger-type operators. https://arxiv.org/abs/math/9804089

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