4 papers
Sign-changing multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions
Angela Pistoia, Giuseppe Mario Rago, Giusi Vaira
We construct families of sign-changing solutions for the four-dimensional Brezis--Nirenberg problem \[ -Δu=u^3+\varepsilon u\quad\text{in }Ω,\qquad u=0\quad\text{on }\partialΩ, \]…
The Neumann Green function of the annulus
Giuseppe Mario Rago
Using Gegenbauer polynomials and the zonal harmonic functions we build an explicit representation formula for the Green function with Neumann boundary conditions in the annulus.
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…
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…