Lucio Damascelli

collaborators

2 papers

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.AP2014

Radial symmetry and applications for a problem involving the $- Δ_{p} (\cdot)$ operator and critical nonlinearity in~ $R^{N}$

Lucio Damascelli, Susana Merchan, Luigi Montoro +1

We consider weak non-negative solutions to the critical $p$ -Laplace equation in $R^{N}$ , $- Δ_{p} u = u^{p^{*} - 1}$ in the singular case $1 < p < 2$ . We prove that if the nonlinearity…

Morse Index and Symmetry for Elliptic Problems with Nonlinear Mixed Boundary Conditions

Radial symmetry and applications for a problem involving the −Δp​(⋅) operator and critical nonlinearity in~RN

Radial symmetry and applications for a problem involving the $- Δ_{p} (\cdot)$ operator and critical nonlinearity in~ $R^{N}$