The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

This book presents important recent developments in mathematical and computational
methods used in impedance imaging and the theory of composite materials. By augmenting …

This book presents the basic theory of the symmetry of solutions to second-order elliptic
partial differential equations by means of the maximum principle. It proceeds from …

Overdetermined problems with fractional laplacian Page 1 ESAIM: COCV 21 (2015) 924–938
ESAIM: Control, Optimisation and Calculus of Variations DOI: 10.1051/cocv/2014048 www.esaim-cocv.org …

Abstract By the Alexandroff-Serrin method [2, 14] of moving hyperplanes we obtain radial
symmetry for the domain and the solutions of on an exterior domain, subject to the …

We consider a partially overdetermined problem for anisotropic N-Laplace equations in a
convex cone Σ intersected with the exterior of a bounded domain Ω in RN, N≥ 2. Under a …

In this paper we extend a classical result of Serrin to a class of elliptic problems Δu+ f (u,|∇
u|)= 0 in exterior domains RN⧹ G (or Ω⧹ G with Ω and G bounded). In case G is an union of …

We consider a fractional elliptic equation in an unbounded set with both Dirichlet and
fractional normal derivative datum prescribed. We prove that the domain and the solution …

In this survey paper, we examine the isoperimetric inequality from an analytic point of view.
We use as a point of departure the concept of analytic content in approximation theory: this …

In this article we investigate spectral properties of the coupling H+ V_ λ H+ V λ, where H=-i α
⋅ ∇+ m β H=-i α.∇+ m β is the free Dirac operator in R^ 3 R 3, m> 0 m> 0 and V_ λ V λ is an …