4 papers · 1 filter
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 $$\begin{cases} -Δu=f(u) \qquad &\text{in ,}\\ \phantom{-}u=0 &\text{…
Acoustic waves interacting with non--locally reacting surfaces in a Lagrangian framework
Enzo Vitillaro
The paper deals with a family of evolution problems arising in the physical modeling of small amplitude acoustic phenomena occurring in a fluid, bounded by a surface of extended re…
On the eigenvalue problem for a bulk/surface elliptic system
Enzo Vitillaro
The paper addresses the doubly elliptic eigenvalue problem $$\begin{cases} -Δu=λu \qquad &\text{in ,}\\ u=0 &\text{on ,}\\ -Δ_Γu +\partial_νu =λu\qquad &\text{on ,} \e…
Nontrivial solutions for the Laplace equation 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} Δu=0 \qquad &\text{in ,}\\ u=0 &\text{on ,}\\ -Δ…