We consider the exterior problem

We consider the elliptic problem Delta u + u(p) = 0, u > 0 in an exterior domain, Omega = R-N\D under zero Dirichlet and vanishing conditions, where D is smooth and bounded in R-N, N >= 3, and p is supercritical, namely p ...

An asymptotic analysis of a layered structure with an imperfect interface subject to an anti-plane shear deformation and non-homogeneous Dirichlet end conditions is presented in this paper. Two layers of isotropic materials ...

We propose a novel cosmological scenario with the space-time emerging from a pure initial de Sitter stage and subsequently evolving into the radiation, matter and dark energy dominated epochs, thereby avoiding the initial ...

We consider the elliptic problem Δu + up = 0, u > 0 in an exterior domain, Ω=RN∖D under zero Dirichlet and vanishing conditions, where D is smooth and bounded, and p is supercritical, namely p>N+2N−2 . We prove that ...