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 2018Show all

2 papers · 1 filter

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…

math.AP2018

Estimates of Green and Martin kernels for Schrödinger operators with singular potential in Lipschitz domains

Moshe Marcus

Consider operators of the form $L^{γ V} := Δ + γ V$ in a bounded Lipschitz domain $Ω \subset R^{N}$ . Assume that $V \in C^{1} (Ω)$ satisfies $|V(x)| \leq \bar a \,\mathrm{distance}\,(x…