Prof. Gabriella Zecca “Noncoercive quasilinear elliptic operators with singular lower order terms”

We consider a class of quasilinear second order elliptic differential operators which are
not coercive and are defined by functions in Marcinkiewicz space. We prove the existence
of a solution to the corresponding Dirichlet problem. We show that our results are optimal
and we also prove higher integrability of the solution when the datum is more regular.
The associated obstacle problem is also solved.
This talk is based on a joint paper with Fernando Farroni, Luigi Greco and Gioconda
Moscariello.