73 citations · 413 across the 37 of their papers we have counts for
4 papers · 1 filter
A fountain of positive Bubbles on a Coron's Problem for a Competitive Weakly Coupled Gradient System
Angela Pistoia, Nicola Soave, Hugo Tavares
We consider the following critical elliptic system: \begin{equation*} \begin{cases} -Δu_i=μ_i u_i^{3}+βu_i^{ } \sum\limits_{j\neq i} u_j^{2} \quad \hbox{in}\ Ω_\varepsilon \\ u_i=0…
Normalized ground states for the NLS equation with combined nonlinearities
Nicola Soave
We study existence and properties of ground states for the nonlinear Schrödinger equation with combined power nonlinearities \[ -Δu= λu + μ|u|^{q-2} u + |u|^{p-2} u \qquad \text{in…
The nodal set of solutions to some elliptic problems: singular nonlinearities
Nicola Soave, Susanna Terracini
This paper deals with solutions to the equation \begin{equation*} -Δu = λ_+ \left(u^+\right)^{q-1} - λ_- \left(u^-\right)^{q-1} \quad \text{in } \end{equation*} where $λ_+,λ_-…
The nodal set of solutions to some elliptic problems: sublinear equations, and unstable two-phase membrane problem
Nicola Soave, Susanna Terracini
We are concerned with the nodal set of solutions to equations of the form \begin{equation*} -Δu = λ_+ \left(u^+\right)^{q-1} - λ_- \left(u^-\right)^{q-1} \quad \text{in } \end…