Kyril Tintarev

most citedA ground state alternative for singular Schrödinger operators

9 citations · 11 across the 4 of their papers we have counts for

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math.AP2005

On existence of minimizers for the Hardy-Sobolev-Maz'ya inequality

Achilles Tertikas, Kyril Tintarev

We show existence of minimizers for the Hardy-Sobolev-Maz'ya inequality in $R^{m + n} ∖ R^{n}$ for $m = 1$ and $n > 2$ or for $m > 2$ and $n > 0$ .

math.AP2005★ 2 cited

Concentration-compactness principle for mountain pass problems

Kyril Tintarev

In the paper we show that critical sequences associated with the mountain pass level for semilinear elliptic problems on $R^{N}$ converge when the non-linearity is subcritical, supe…

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…