In the past fifteen years mathematical models for microelectromechanical systems (MEMS)
have been the subject of several studies, in particular due to the interesting qualitative …

Purpose The aim of this work is to establish a computationally efficient iterative technique for
solving the highly nonlinear derivative-dependent boundary value problem (DDBVP). The …

We investigate existence, multiplicity and qualitative properties of the solutions of the
Dirichlet problem for the singularly perturbed prescribed mean curvature equation−(1− bu) …

We study the exact multiplicity and bifurcation diagrams of positive solutions u∈ C 2 (− L,
L)∩ C [− L, L] of the one-dimensional multiparameter prescribed mean curvature problem …

We study global bifurcation diagrams and exact multiplicity of positive solutions for the one-
dimensional prescribed mean curvature problem arising in MEMS {−(u′(x) 1+(u′(x)) 2) …

This paper is concerned with the variational problem for the elastic energy defined on
symmetric graphs under the unilateral constraint. Assuming that the obstacle function …

The occurrence of a finite time singularity is shown for a free boundary problem modeling
microelectromechanical systems (MEMS) when the applied voltage exceeds some value …

Motivated by some nonlinear models recently arising in Micro-Electro-Mechanical System
(MEMS) and new progress on one-dimensional mean curvature type problems, we …

Questa tesi è dedicata allo studio di alcuni modelli differenziali che nascono nell'ambito
della fluidodinamica o della relatività generale e che coinvolgono gli operatori di curvatura …

To study electrostatic actuation, researchers commonly use a setup proposed by GI Taylor in
[Proc. R. Soc. Lond. Ser. A, 306 (1968), pp. 423–434]. It consists of soap film held at a …