29 citations · 144 across the 45 of their papers we have counts for
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Symmetry and spectral properties for viscosity solutions of fully nonlinear equations
Isabeau Birindelli, Fabiana Leoni, Filomena Pacella
We study symmetry properties of viscosity solutions of fully nonlinear uniformly elliptic equations. We show that if is a viscosity solution of a rotationally invariant equatio…
Exact Morse index computation for nodal radial solutions of Lane-Emden problems
Francesca De Marchis, Isabella Ianni, Filomena Pacella
We consider the semilinear Lane-Emden problem \begin{equation}\label{problemAbstract} \left\{\begin{array}{lr}-Δu= |u|^{p-1}u\qquad \mbox{ in }B u=0\qquad\qquad\qquad\mbox{ on }\pa…
Morse index of radial nodal solutions of Hénon type equations in dimension two
Ederson Moreira dos Santos, Filomena Pacella
We consider non-autonomous semilinear elliptic equations of the type \[ -Δu = |x|^α f(u), \ \ x \in Ω, \ \ u=0 \quad \text{on} \ \ \partial Ω, \] where is…