Nicolas Beuvin

collaborators

3 papers

math.AP2025

One-dimensional symmetry results for semilinear equations and inequalities on half-spaces

Nicolas Beuvin, Alberto Farina

We prove new one-dimensional symmetry results for non-negative solutions, possibly unbounded, to the semilinear equation $- Δ u = f (u)$ in the upper half-space $R_{+}^{N}$ .…

math.AP2025

Monotonicity for solutions to semilinear problems in epigraphs

Nicolas Beuvin, Alberto Farina, Berardino Sciunzi

We consider positive solutions, possibly unbounded, to the semilinear equation $- Δ u = f (u)$ on continuous epigraphs bounded from below. Under the homogeneous Dirichlet boundary condi…

math.AP2025

Serrin's overdetermined problems on epigraphs

Nicolas Beuvin, Alberto Farina

In this work we establish some rigidity results for Serrin's overdetermined problem \begin{equation*} \left\{ \begin{array}{cll} - Δu=f(u) & \text{in}& Ω,\newline u > 0& \text{in}…