Special Session 60: 

Existence of solutions for p-Laplace equations with Neumann boundary condition

Antonella Nastasi
University of Palermo
Italy
Co-Author(s):    
Abstract:
We prove existence results of solutions for p-Laplace equations with a Neumann boundary condition. The data of the problem are considered on a metric measure space without a differentiable structure. A variational approach based on the minimal p-weak upper gradient is used to overcome the lack of differentiable structure.