On the existence of solutions for some elliptic singular systems

P. AMSTER

Conferencia; X Americas Conference on Differential Equations and Nonlinear Analysis; 2015

In this talk, we shall present some results for a nonlinear elliptic system with a bounded set of singularities. Using topological degree methods, we shall prove the existence of classical solutions for the Neumann problem under a geometric condition on g. Moreover, for the particular case of an isolated repulsive singularity, we shall obtain generalized solutions under a Nirenberg type condition.