Y. Pinchover

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20002026

most citedOptimal Hardy Weight for Second-Order Elliptic Operator: An Answer to a Problem of Agmon

130 citations · 192 across the 43 of their papers we have counts for

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Showing 2022 · math.APShow all

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math.AP2022

Positive solutions of quasilinear elliptic equations with Fuchsian potentials in Wolff class

Ratan Kr. Giri, Yehuda Pinchover

Using Harnack's inequality and a scaling argument we study Liouville-type theorems and the asymptotic behaviour of positive solutions near an isolated singular point $ζ\in \partial…

math.AP2022

Stochastic completeness and $L^{1}$ -Liouville property for second-order elliptic operators

Debdip Ganguly, Yehuda Pinchover, Prasun Roychowdhury

Let $P$ be a linear, second-order, elliptic operator with real coefficients defined on a noncompact Riemannian manifold $M$ and satisfies $P 1 = 0$ in $M$ . Assume further that $P$ adm…

math.AP2022

The space of Hardy-weights for quasilinear equations: Maz'ya-type characterization and sufficient conditions for existence of minimizers

Ujjal Das, Yehuda Pinchover

Let $p \in (1, \infty)$ and $Ω \subset R^{N}$ be a domain. Let $A := (a_{ij}) \in L_{loc}^{\infty} (Ω; R^{N \times N})$ be a symmetric and locally uniformly posi…

Positive solutions of quasilinear elliptic equations with Fuchsian potentials in Wolff class

Stochastic completeness and L1-Liouville property for second-order elliptic operators

The space of Hardy-weights for quasilinear equations: Maz'ya-type characterization and sufficient conditions for existence of minimizers

Stochastic completeness and $L^{1}$ -Liouville property for second-order elliptic operators