Giusi Vaira

activity

20092026

most citedNondegeneracy of the bubble for the critical p-Laplace equation

8 citations · 26 across the 30 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.AP2018

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 $p$ -Laplace equation with Hardy potential in $R^{N}$ $- Δ_{p} u - \frac{γ}{∣ x ∣ ^{p}} u^{p - 1} = u^{p^{*} - 1}$ where $1 < p < N$ , $0\le γ<\l…

math.AP2018

Maximal solution of the Liouville equation in doubly connected domains

Michal Kowalczyk, Angela Pistoia, Giusi Vaira

In this paper we consider the Liouville equation $Δ u + λ^{2} e^{u} = 0$ with Dirichlet boundary conditions in a two dimensional, doubly connected domain $Ω$ . We show that there exists…

math.AP2018

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 $Δ u + λ^{2} V (x) e^{u} = ρ$ in various two dimensional settings. We assume that $V > 0$ is a given function, $λ > 0$ is a small parameter and $ρ=\mathcal…