arXiv subjects

Berardino Sciunzi

Publications and source records attributed to Berardino Sciunzi.

56 records · Page 4Linked to original sources

arXiv2009

Asymptotic symmetry for a class of quasi-linear parabolic problems

We study the symmetry properties of the weak positive solutions to a class of quasi-linear elliptic problems having a variational structure. On this basis, the asymptotic behaviour of global solutions of the corresponding parabolic equations is also investigated. In particular, if the domain is a ball, the elements of the $ω$-limit set are nonnegative radially symmetric solutions of the stationary problem.

math.AP↗

arXiv2009

Symmetry results for nonvariational quasi-linear elliptic systems

By virtue of a weak comparison principle in small domains we prove axial symmetry in convex and symmetric smooth bounded domains as well as radial symmetry in balls for regular solutions of a class of quasi-linear elliptic systems in non-variational form. Moreover, in the two dimensional case, we study the system when set in a half-space.

math.AP↗