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math.AP2013
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…
math.AP2013★ 18 cited
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…