Zobrazeno 1 - 10
of 193
pro vyhledávání: '"Pinchover, Yehuda"'
In this note we study Landis conjecture for positive Schr\"odinger operators on graphs. More precisely, we give a decay criterion that ensures when $ \mathcal{H} $-harmonic functions for a positive Schr\"odinger operator $ \mathcal{H} $ with potentia
Externí odkaz:
http://arxiv.org/abs/2408.02149
We study Hardy inequalities for $p$-Schr\"odinger operators on general weighted graphs. Specifically, we prove a Maz'ya-type result, where we characterize the space of Hardy weights for $ p $-Schr\"odinger operators via a generalized capacity. The no
Externí odkaz:
http://arxiv.org/abs/2407.02116
Autor:
Das, Ujjal, Pinchover, Yehuda
We give partial affirmative answers to Landis conjecture in all dimensions for two different types of linear, second order, elliptic operators in a domain $\Omega\subset \mathbb{R}^N$. In particular, we provide a sharp decay criterion that ensures wh
Externí odkaz:
http://arxiv.org/abs/2405.11695
Autor:
Das, Ujjal, Pinchover, Yehuda
We consider weighted Hardy inequalities involving the distance function to the boundary of a domain in the $N$-dimensional Euclidean space with nonempty boundary. We give a lower bound for the corresponding best Hardy constant for a domain satisfying
Externí odkaz:
http://arxiv.org/abs/2307.01372
Let $p \in (1,\infty)$, $\alpha\in \mathbb{R}$, and $\Omega\subsetneq \mathbb{R}^N$ be a $C^{1,\gamma}$-domain with a compact boundary $\partial \Omega$, where $\gamma\in (0,1]$. Denote by $\delta_{\Omega}(x)$ the distance of a point $x\in \Omega$ to
Externí odkaz:
http://arxiv.org/abs/2303.03527
Autor:
Giri, Ratan Kr., Pinchover, Yehuda
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 $\zeta \in \partial\Omega\cup\{\infty\}$ for the quasilinear elliptic equation $$-\t
Externí odkaz:
http://arxiv.org/abs/2204.08061
Publikováno v:
Discrete Contin. Dyn. Syst. Ser. S 2022
Let $P$ be a linear, second-order, elliptic operator with real coefficients defined on a noncompact Riemannian manifold $M$ and satisfies $P1=0$ in $M$. Assume further that $P$ admits a minimal positive Green function in $M$. We prove that there exis
Externí odkaz:
http://arxiv.org/abs/2203.06493
Autor:
Das, Ujjal, Pinchover, Yehuda
Let $p \in (1,\infty)$ and $\Omega \subset \mathbb{R}^N$ be a domain. Let $ A: =(a_{ij}) \in L^{\infty}_{\text{loc}}(\Omega; \mathbb{R}^{N\times N})$ be a symmetric and locally uniformly positive definite matrix. Set $|\xi|_A^2:= \displaystyle \sum_{
Externí odkaz:
http://arxiv.org/abs/2202.12324