# Giulio Ciraolo

Publications39

Citations238

Influential Citations17

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When holes or hard elastic inclusions are closely located, stress which is the gradient of the solution to the anti-plane elasticity equation can be arbitrarily large as the distance between two… (More)

The aim of this paper is to give a mathematical justification of cloaking due to anomalous localized resonance (CALR). We consider the dielectric problem with a source term in a structure with a… (More)

The distance of an almost constant mean curvature boundary from a finite family of disjoint tangent balls with equal radii is quantitatively controlled in terms of the oscillation of the scalar mean… (More)

We prove that the boundary of a (not necessarily connected) bounded smooth set with constant nonlocal mean curvature is a sphere. More generally, and in contrast with what happens in the classical… (More)

We study the uniqueness of solutions of Helmholtz equation for a problem that concerns wave propagation in waveguides. The classical radiation condition does not apply to our problem because the… (More)

In a bounded domain $$\varOmega $$Ω, we consider a positive solution of the problem $$\Delta u+f(u)=0$$Δu+f(u)=0 in $$\varOmega $$Ω, $$u=0$$u=0 on $$\partial \varOmega $$∂Ω, where $$f:\mathbb… (More)

We consider the solution of the torsion problem $-\Delta u=1$ in $\Omega$ and $u=0$ on $\partial \Omega$. Serrin's celebrated symmetry theorem states that, if the normal derivative $u_\nu$ is… (More)

- Giulio Ciraolo
- 2005

We consider the solution of the problem �u = f(u) and u > 0 in , u = 0 on , where is a bounded domain in R N with boundary of class C 2,� , 0 0, where re and ri are the radii of a spherical annulus… (More)

We prove the following quantitative version of the celebrated Soap Bubble Theorem of Alexandrov. Let $S$ be a $C^2$ closed embedded hypersurface of $\mathbb{R}^{n+1}$, $n\geq1$, and denote by… (More)