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 $- I^ u = f (u)$ in the upper half-space $R_{+}^{N}$ .…

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} - Îu=f(u) & \text{in}& Î©,\newline u > 0& \text{in…

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 $- I^ u = f (u)$ on continuous epigraphs bounded from below. Under the homogeneous Dirichlet boundary cond…