Special Session 35: 

Nonlinear elliptic problems with dependence on the gradient

Leszek Gasinski
Jagiellonian University
Poland
Co-Author(s):    
Abstract:
We consider a quasilinear Neumann problem with a differential operator and a reaction term, both dependent on a function and its gradient. Using topological methods together with suitable truncation and comparison techniques, we show the existence of a smooth positive solution.