On the Hopf boundary lemma for quasilinear problems involving singular nonlinearities and applications

We consider positive solutions to quasilinear elliptic problems with singular nonlinearities. We provide a Hopf type boundary lemma via a suitable scaling argument that allows to deal with the lack of regularity of the solutions up to the boundary. Symmetry and monotonicity properties of the solutions follows as an application.




This seminar is organized within the PRIN 2015 Research project «Variational methods, with applications to problems in mathematical physics and geometry» Grant Registration 2015KB9WPT_010, funded by MIUR – Project coordinator Prof. Gianmaria Verzini