9 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} &-Îu_1+u_1=u_1^{{\mathfrak p} }-Îu_1^{a_1} u_2^{a_2}\ \…
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} &-Îu = λu+|u|^{2^*-2}u, \quad &\mbox{in}\,Ω,\\ &u=0,\quad &\mbox{on}\, \partialÎ…
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 $$-Îu +V(|x|) u =\left(|x|^{-μ}* |u|^{2^\star_μ}\right)|u…
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…