Special Session 88: Diffusion problems with non-standard growth conditions

Singular elliptic equations having a gradient term with natural growth
Anna Mercaldo
University of Naples Federico II
Italy
Co-Author(s):    
Abstract:
This talk will present existence results for a class of homogeneous Dirichlet boundary value problems for equations whose prototype is \begin{equation} -\Delta_p u =h(u)|\nabla u|^p+u^{q-1}+f(x)\, \quad\hbox{in } \ \Omega\,, \end{equation} where $\Omega$ an open bounded subset of $\R^N$, $0