D. Bucur

activity

20132026

collaborators

5 papers

math.AP2026

Concavity and hot spots in elliptic problems under mixed boundary conditions

Dorin Bucur, Ilaria Fragalà

We consider the torsion function and the first Laplacian eigenfunction in a convex curvilinear sector in the plane, under homogeneous Neumann conditions on the two straight lateral…

math.AP2026

Quantitative Kröger inequalities for Neumann eigenvalues of convex domains

Dorin Bucur, Andrea Gentile, Antoine Henrot

Refining the sharp upper bounds $μ_{k, d}^{*}$ obtained by Kröger (1999) for the $k$ -th Neumann eigenvalue of a convex domain $Ω \subset R^{d}$ , we prove the following inequali…

math.AP2020

On efficiency and localisation for the torsion function

M. van den Berg, D. Bucur, T. Kappeler

We consider the torsion function for the Dirichlet Laplacian $- Δ$ , and for the Schrödinger operator $- Δ + V$ on an open set $Ω \subset R^{m}$ of finite Lebesgue measure $0<|Ω|<\infty…

math.AP2018

Sign changing solutions of Poisson's equation

Michiel van den Berg, Dorin Bucur

Let $Ω$ be an open, possibly unbounded, set in Euclidean space $R^{m}$ with boundary $\partial Ω,$ let $A$ be a measurable subset of $Ω$ with measure $∣ A ∣$ , and let $γ \in (0, 1)$ . We…

math.AP2013

On the torsion function with Robin or Dirichlet boundary conditions

M. van den Berg, D. Bucur

For $p \in (1, + \infty)$ and $b \in (0, + \infty]$ the $p$ -torsion function with Robin boundary conditions associated to an arbitrary open set $\Om \subset \R^m$ satisfies formally th…