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math.AP2016
Morse Index and Symmetry for Elliptic Problems with Nonlinear Mixed Boundary Conditions
Lucio Damascelli, Filomena Pacella
Under a Morse index condition we prove symmetry results for solutions of a nonlinear mixed boundary condition elliptic problem. As an intermediate step we relate the Morse index of…
math.AP2016
Existence results for fully nonlinear equations in radial domains
Giulio Galise, Fabiana Leoni, Filomena Pacella
We consider the fully nonlinear problem \begin{equation*} \begin{cases} -F(x,D^2u)=|u|^{p-1}u & \text{in }\\ u=0 & \text{on } \end{cases} \end{equation*} where is…
math.AP2016
Asymptotic profile of positive solutions of Lane-Emden problems in dimension two
Francesca De Marchis, Isabella Ianni, Filomena Pacella
We consider families of solutions to the problem \begin{equation}\label{problemAbstract} \left\{\begin{array}{lr}-Δu= u^p & \mbox{ in }Ω\\ u>0 & \mbox{ in }Ω\\ u=0 & \mbox{ o…