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math.AP2026
Nontrivial solutions for a class of semilinear elliptic equations with a nonlinear Goldstein-Wentzell boundary condition
Enzo Vitillaro
The paper deals with the existence and multiplicity of nontrivial solutions for the doubly elliptic problem $$\begin{cases} -Îu=f(u) \qquad &\text{in ,}\\ \phantom{-}u=0 &\tex…
math.AP2025
Acoustic waves interacting with non--locally reacting surfaces in a Lagrangian framework
Enzo Vitillaro
The paper deals with a family of evolution problems arising in the physical modeling of small amplitude acoustic phenomena occurring in a fluid, bounded by a surface of extended re…
math.AP2024
On the eigenvalue problem for a bulk/surface elliptic system
Enzo Vitillaro
The paper addresses the doubly elliptic eigenvalue problem $$\begin{cases} -Îu=λu \qquad &\text{in ,}\\ u=0 &\text{on ,}\\ -Î_Îu +\partial_νu =λu\qquad &\text{on $Î…