44 citations · 218 across the 75 of their papers we have counts for
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Linear perturbation of the Yamabe problem on manifolds with boundary
Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia
We build blowing-up solutions for linear perturbation of the Yamabe problem on manifolds with boundary, provided the dimension of the manifold is n>6 and the trace-free part of the…
On Coron's problem for weakly coupled elliptic systems
Angela Pistoia, Nicola Soave
We consider the following critical weakly coupled elliptic system \[ \begin{cases} -Δu_i = μ_i |u_i|^{2^*-2}u_i + \sum_{j \neq i} β_{ij} |u_j|^{\frac{2^*}{2}} |u_i|^{\frac{2^*-4}{2…
Large conformal metrics with prescribed scalar curvature
Angela Pistoia, Carlos Román
Let be an dimensional compact Riemannian manifold. Let be a smooth function on and assume that it has a critical point such that and which sat…
A unified approach of blow-up phenomena for two-dimensional singular Liouville systems
Luca Battaglia, Angela Pistoia
We consider generic 2 x 2 singular Liouville systems on a smooth bounded domain in the plane having some symmetry with respect to the origin. We construct a family of solutions to…
Sign-changing tower of bubbles for a sinh-Poisson equation with asymmetric exponents
Angela Pistoia, Tonia Ricciardi
Motivated by the statistical mechanics description of stationary 2D-turbulence, for a sinh-Poisson type equation with asymmetric nonlinearity, we construct a concentrating solution…
Spiked solutions for Schrödinger systems with Sobolev critical exponent: the cases of competitive and weakly cooperative interactions
Angela Pistoia, Hugo Tavares
In this paper we deal with the nonlinear Schrödinger system \[ -Δu_i =μ_i u_i^3 + βu_i \sum_{j\neq i} u_j^2 + λ_i u_i, \qquad u_1,\ldots, u_m\in H^1_0(Ω) \] in dimension 4, a probl…