Top-level heading

Dirichlet problems with singular and quadratic growth lower order terms

Data e ora inizio evento
Data e ora fine evento
Sede

Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma

Aula
Sala di Consiglio
Speaker

David Arcoya (Università di Granada)

We present some of the results obtained in collaboration with Boccardo, Leonori and Porretta about the existence of positive solutions of Dirichlet problems like \begin{equation} \left\{ \begin{array}{ll} -\Delta u=B\frac{|\nabla u|^2}{u}+f & \mbox{in } \Omega, \\ u=0 & \mbox{on } \partial\Omega, \end{array} \right. \end{equation} where B>0 and f\ge 0 belongs to a Lebesgue space.