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.AP2020
Reverse Faber-Krahn inequality for a truncated laplacian operator
Enea Parini, Julio Rossi, Ariel Salort
In this paper we prove a reverse Faber-Krahn inequality for the principal eigenvalue of the fully nonlinear eigenvalue problem \[ \label{eq} \left\{\begin{array}{r c l l}…
math.SP2019
The buckling eigenvalue problem in the annulus
Davide Buoso, Enea Parini
We consider the buckling eigenvalue problem for a clamped plate in the annulus. We identify the first eigenvalue in dependence of the inner radius, and study the number of nodal do…