M. Marcus

activity

20062023

most citedBoundary singularities of solutions of semilinear elliptic equations in the half-space with a Hardy potential

10 citations · 34 across the 26 of their papers we have counts for

collaborators

Showing math.APShow all

29 papers · 1 filter

math.AP2023

Boundary value problems with signed measure data for semilinear Schrödinger equations

Moshe Marcus

Consider operators $L_{V} := Δ + V$ in a bounded Lipschitz domain $Ω \subset R^{N}$ . Assume that $V \in C^{α} (Ω)$ satisfies $∣ V (x) ∣ \leq a ˉ dist (x, \partial Ω)^{- 2}$ in…

math.AP2022

Schrodinger equations with very singular potentials in Lipschitz domains

Moshe Marcus

Consider operators $L^{V} := Δ + V$ in a bounded Lipschitz domain $Ω \subset R^{N}$ . Assume that $V \in C^{1, 1} (Ω)$ and $V$ satisfies $V(x) \leq \overline{a} \mathrm{dist}(x,\par…

math.AP2021

Boundary value problems for semilinear Schrödinger equations with singular potentials and measure data

Mousomi Bhakta, Moshe Marcus, Phuoc-Tai Nguyen

We study boundary value problems with measure data in smooth bounded domains $Ω$ , for semilinear equations involving Hardy type potentials. Specifically we consider problems of the…

math.AP2020

Large solutions of semilinear equations with Hardy potential

Moshe Marcus

We consider equations of the form $- L_{μ} u + f (u) = 0$ in a smooth domain $Ω$ , where $L_{μ} = Δ + μ δ^{- 2}$ and $δ (x)$ denotes the distance of the point $x$ to the boundary of the domain. The…

math.AP2019★ 3 cited

Estimates of sub and super solutions of Schrödinger equations with very singular potentials

Moshe Marcus

Consider operators $L_{V} := Δ + V$ in a bounded smooth domain $D$ in $R^{N}$ . Assume that $V \in C^{1} (D)$ and $V$ may blow up at the boundary at most as $1/ δ^{2}$ where $δ$ denotes distanc…

math.AP2018

Schrödinger equations with singular potentials: linear and nonlinear boundary value problems

Moshe Marcus, Phuoc-Tai Nguyen

Let $Ω \subset R^{N}$ ( $N \geq 3$ ) be a $C^{2}$ bounded domain and $F \subset \partial Ω$ be a $C^{2}$ submanifold of dimension $0 \leq k \leq N - 2$ . Put $δ_{F} (x) = d i s t (x, F)$ , $V=δ…