18 citations · 18 across the 2 of their papers we have counts for
4 papers
Nonradial solutions for the Hénon equation close to the threshold
Pablo Figueroa, Sérgio L. N. Neves
We consider the Hénon problem \begin{equation*} \left\{ \begin{array} - - Δu = |x|^α u^{\frac{N+2+2α}{N-2}-\varepsilon} & \ \ \text{in} \ B_1, \\ u > 0 & \ \ \text{in} \ B_1, \\ u=…
Symmetry breaking and Morse index of solutions of nonlinear elliptic problems in the plane
Francesca Gladiali, Massimo Grossi, Sérgio Neves
In this paper we study the problem -Δu =\left(\frac{2+α}{2}\right)^2\abs{x}^αf(λ,u), & \hbox{in}B_1 \\ u > 0, & \hbox{in}B_1 u = 0, & \hbox{on} \partial B_1 where is the unit…
Nonradial solutions for the Hénon equation in
Francesca Gladiali, Massimo Grossi, Sérgio Neves
In this paper we consider the problem $$ {ll} -Δu=(N+\a)(N-2)|x|^{\a}u^\frac{N+2+2\a}{N-2} & in R^N u>0& in R^N u\in D^{1,2}(R^N). $$ where . From the characterization of th…
Exact multiplicity results for a singularly perturbed Neumann problem
Massimo Grossi, Sérgio Neves
In this paper we study the number of the boundary single peak solutions of the problem {align*} {cases} -\varepsilon^2 Δu + u = u^p, &\text{in}Ωu > 0, &\text{in}Ω\frac{\partial u}{…