3 papers
math.AP2020
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{…
math.AP2019
On unique continuation principles for some elliptic systems
Ederson Moreira dos Santos, Gabrielle Nornberg, Nicola Soave
In this paper we prove unique continuation principles for some systems of elliptic partial differential equations satisfying a suitable superlinearity condition. As an application,…
math.AP2018
Periodic solutions and torsional instability in a nonlinear nonlocal plate equation
Denis Bonheure, Filippo Gazzola, Ederson Moreira dos Santos
A thin and narrow rectangular plate having the two short edges hinged and the two long edges free is considered. A nonlinear nonlocal evolution equation describing the deformation…