13 papers
Clustering phenomena in low dimensions for a boundary Yamabe problem
Sergio Cruz-Blázquez, Angela Pistoia, Giusi Vaira
We consider the classical geometric problem of prescribing the scalar and boundary mean curvatures via conformal deformation of the metric on a dimensional compact Riemannian m…
Segregated solutions for nonlinear Schrödinger systems with weak interspecies forces
Angela Pistoia, Giusi Vaira
We find positive non-radial solutions for a system of Schrödinger equations in a weak fully attractive or repulsive regime in presence of an external radial trapping potential that…
Nodal solutions of the Brezis-Nirenberg problem in dimension 6
Angela Pistoia, Giusi Vaira
We show that the classical Brezis-Nirenberg problem when is a bounded domain in has a sign-changing…
Normalized concentrating solutions to nonlinear elliptic problems
Benedetta Pellacci, Angela Pistoia, Giusi Vaira +1
We prove the existence of solutions of the elliptic problem \[ \begin{cases} -Δv+(V(x)+λ) v =v^{p}\ &\text{ in } \ v>0,\qquad \int_Ωv^2\…
Nondegeneracy of the bubble for the critical p-Laplace equation
Angela Pistoia, Giusi Vaira
We prove the non-degeneracy of the extremals of the Sobolev inequality $$\int\limits_{\mathbb R^N}|\nabla u|^pdx\ge \mathcal S_p\int\limits_{\mathbb R^N}|u|^{Np\over N-p}dx,\ u\in…
Radial symmetry for a quasilinear elliptic equation with a critical Sobolev growth and Hardy potential
Francescantonio Oliva, Berardino Sciunzi, Giusi Vaira
We consider weak positive solutions to the critical -Laplace equation with Hardy potential in where , $0\le γ<\l…