K. Tintarev

activity

20042011

most citedA ground state alternative for singular Schrödinger operators

9 citations · 18 across the 16 of their papers we have counts for

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Showing 2004Show all

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math.AP2004★ 9 cited

A ground state alternative for singular Schrödinger operators

Yehuda Pinchover, Kyril Tintarev

Let $a$ be a quadratic form associated with a Schrödinger operator $L = - \nabla \cdot (A \nabla) + V$ on a domain $Ω \subset R^{d}$ . If $a$ is nonnegative on $C_0^…

math.AP2004

Existence of minimizers for Schrodinger operators under domain perturbations with application to Hardy's inequality

Yehuda Pinchover, Kyril Tintarev

The paper studies the existence of minimizers for Rayleigh quotients $μ_{Ω} = in f \frac{\int _{Ω} ∣\nabla u ∣ ^{2}}{\int _{Ω} V ∣ u ∣ ^{2}}$ , where $Ω$ is a domain in $R^{N}$ , and $V$ is a non…