1 citations · 1 across the 3 of their papers we have counts for
16 papers · 1 filter
Classification of radial blow-up at the first critical exponent for the Lin-Ni-Takagi problem in the ball
Denis Bonheure, Jean-Baptiste Casteras, Bruno Premoselli
We investigate the behaviour of radial solutions to the Lin-Ni-Takagi problem in the ball for : \begin{equation*} \left \{ \begin{aligned} - \tr…
Bifurcation analysis of the Hardy-Sobolev equation
Denis Bonheure, Jean-Baptiste Casteras, Francesca Gladiali
In this paper, we prove existence of multiple non-radial solutions to the Hardy-Sobolev equation $$\begin{cases} -Δu-\displaystyle\frac γ{|x|^2}u=\displaystyle\frac{1}{|x|^s}|u|^{p…
Concentration phenomena for the Schrödinger-Poisson system in
Denis Bonheure, Silvia Cingolani, Simone Secchi
We perform a semiclassical analysis for the planar Schrödinger-Poisson system \[ \cases{ -\varepsilon^{2} Δψ+V(x)ψ= E(x) ψ\quad \text{in },\cr -ΔE= |ψ|^{2} \quad \tex…
Long-time dynamics of a hinged-free plate driven by a non-conservative force
Denis Bonheure, Filippo Gazzola, Irena Lasiecka +1
A partially hinged, partially free rectangular plate is considered, with the aim to address the possible unstable end behaviors of a suspension bridge subject to wind. This leads t…
Nodal Solutions for sublinear-type problems with Dirichlet boundary conditions
Denis Bonheure, Ederson Moreira dos Santos, Enea Parini +2
We consider nonlinear second order elliptic problems of the type \[ -Δu=f(u) \text{ in } Ω, \qquad u=0 \text{ on } \partial Ω, \] where is an open -domain in $\mathbb{…
A Paneitz-Branson type equation with Neumann boundary conditions
Denis Bonheure, Hussein Cheikh Ali, Robson Nascimento
We consider the best constant in a critical Sobolev inequality of second order. We show non-rigidity for the optimizers above a certain threshold, namely we prove that the best con…