8 citations · 26 across the 30 of their papers we have counts for
37 papers
Entire solutions to a strongly competitive nonlinear Schrödinger system
Pierpaolo Esposito, Pablo Figueroa, Angela Pistoia +1
We build infinitely-many non-radial positive solutions to the Schrödinger system \begin{equation*} \left\{\begin{aligned} &-Δu_1+u_1=u_1^{{\mathfrak p} }-Λu_1^{a_1} u_2^{a_2}\ \hbo…
Existence of positive solutions for a class of almost critical problems on an annulus
Gabriele Mancini, Giuseppe Mario Rago, Giusi Vaira
In this paper we will consider multi-peaks positive solutions for a class of slightly subcritical or slightly supercritical elliptic problems on an annulus with Dirichlet boundary…
On Brezis-Nirenberg problems: open questions and new results in dimension six
Fengliu Li, Giusi Vaira, Juncheng Wei +1
In this paper, we consider the Brezis-Nirenberg problem \begin{equation*} \left\{\begin{aligned} &-Δu = λu+|u|^{2^*-2}u, \quad &\mbox{in}\,Ω,\\ &u=0,\quad &\mbox{on}\, \partialΩ, \…
Blow-up phenomena for a boundary Yamabe problem with umbilic boundary
Giusi Vaira
We consider a linear perturbation of the classical geometric problem of prescribing the scalar and the boundary mean curvature problem in a Riemannian manifold with umbilic boundar…
Infinitely many non-radial solutions to a critical Choquard equation
Sabrina Caputo, Giusi Vaira
In this paper we study a class of critical Choquard equations with a symmetric potential, i.e. we consider the equation $$-Δu +V(|x|) u =\left(|x|^{-μ}* |u|^{2^\star_μ}\right)|u|^{…
Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions
Angela Pistoia, Giuseppe Mario Rago, Giusi Vaira
The paper addresses the existence of multi-bubble solutions for the well-known Brezis-Nirenberg problem. Although there is extensive literature on the subject, the existence of sol…
Construction of bubbling solutions of the Brezis-Nirenberg problem in general bounded domains (I): the dimensions 4 and 5
Fengliu Li, Giusi Vaira, Juncheng Wei +1
In this paper, we consider the Brezis-Nirenberg problem $$ -Δu=λu+|u|^{\frac{4}{N-2}}u,\quad\mbox{in}\,\, Ω,\quad u=0,\quad\mbox{on}\,\, \partialΩ, $$ where , $Ω\su…
Infinitely many solutions for a boundary Yamabe problem
Luca Battaglia, Giusi Vaira, Yixing Pu
We consider the classical geometric problem of prescribing the scalar and the boundary mean curvature in the unit ball endowed with the standard Euclidean metric. We will deal with…
Partially concentrating solutions for systems with Lotka-Volterra type interactions
Sabrina Caputo, Giusi Vaira
In this paper we consider the existence of standing waves for a coupled system of equations with Lotka-Volterra type interaction. We prove the existence of a standing wave solu…
Nodal cluster solutions for the Brezis-Nirenberg problem in dimensions
Monica Musso, Serena Rocci, Giusi Vaira
We show that the classical Brezis-Nirenberg problem $$Δu + |u|^{4 \over N-2} u + \varepsilon u = 0 ,\quad {\mbox {in}} \quad Ω, \quad u= 0 , \quad {\mbox {on}} \quad \partial Ω$$ a…
Partially concentrating standing waves for weakly coupled Schrödinger systems
Benedetta Pellacci, Angela Pistoia, Giusi Vaira +1
We study the existence of standing waves for the following weakly coupled system of two Schrödinger equations in , , \[ \begin{cases} i \hslash \partial_{t}ψ_{…
Positive Blow-up Solutions for a Linearly Perturbed Boundary Yamabe Problem
Sergio Cruz-Blázquez, Giusi Vaira
We consider the problem of prescribing the scalar and boundary mean curvatures via conformal deformation of the metric on a dimensional compact Riemannian manifold. We deal wi…
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 some non-linear Schrödinger systems with critical growth
Haixia Chen, Angela Pistoia, Giusi Vaira
We find infinitely many positive non-radial solutions for a system of Schrödinger equations with critical growth in a fully attractive or repulsive regime in presence of an externa…
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…
Phase separating solutions for two component systems in general planar domains
Michał Kowalczyk, Angela Pistoia, Giusi Vaira
In this paper we consider a two component system of coupled non linear Schrödinger equations modeling the phase separation in the binary mixture of Bose-Einstein condensates and ot…
A complete scenario on nodal radial solutions to the Brezis Nirenberg problem in low dimensions
Annalisa Amadori, Francesca Gladiali, Massimo Grossi +2
In this paper we consider nodal radial solutions of the problem where $2^*=\frac{2N}{N…
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…
Maximal solution of the Liouville equation in doubly connected domains
Michal Kowalczyk, Angela Pistoia, Giusi Vaira
In this paper we consider the Liouville equation with Dirichlet boundary conditions in a two dimensional, doubly connected domain . We show that there exists…
Free boundary problems arising in the theory of maximal solutions of equations with exponential nonlinearities
Michal Kowalczyk, Angela Pistoia, Piotr Rybka +1
We consider equations of the form in various two dimensional settings. We assume that is a given function, is a small parameter and $ρ=\mathcal…
Sign-Changing Solutions for Critical Equations with Hardy Potential
Pierpaolo Esposito, Nassif Ghoussoub, Angela Pistoia +1
We consider the following perturbed critical Dirichlet problem involving the Hardy-Schrödinger operator on a smooth bounded domain , , with $0 \in Ω…