" Micro-and nanoelectromechanical systems (MEMS and NEMS), which combine electronics
with miniature-size mechanical devices, are essential components of modern technology. It …

" The book describes how functional inequalities are often manifestations of natural
mathematical structures and physical phenomena, and how a few general principles …

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 …

We study the following semilinear biharmonic equation:, where 0≤ f≤ 1 and BR⊂ ℝN, N≥
1, is the ball centered in the origin of radius R. We prove, under Dirichlet boundary …

We consider the following nonlinear fourth order equation: TΔuDΔ^2u=λ(L+u)^2, -L<u<0, in
Ω, u=0, Δu=0 on ∂Ω, where λ>0 is a parameter. This nonlinear equation models the …

In this paper we present various existence results for nonlinear differential equations related
to the Lp Minkowski problem in the plane and the one dimensional conformal curvature …

Let B be the unit ball in R^ N, N≥ 3 and n be the exterior unit normal vector on the
boundary. We consider radial solutions to Δ^ 2 u= λ (1+\rm sign (p) u)^ p\rm in\, B,\quad u …

The archetypal figure of the psychopath has always been fascinating, even numinous, and
terrifying. We know him as the headline-making serial killer, shameless fraud, or charming …

We study the regularity of the extremal solution of the semilinear biharmonic equation Δ^ 2
u= λ (1-u)^ 2, which models a simple micro-electromechanical system (MEMS) device on a …

We examine the regularity of the extremal solution of the nonlinear eigenvalue problem
$\Delta^ 2 u=\lambda f (u) $ on a general bounded domain $\Omega $ in $\IR^ N $, with the …