December 3, 2021

About the speaker

Ms. Camila Lopez is a graduate student at the Colombian National University, Manizales. She works in the Analysis of Partial Differential equations.

Nonlocal problems on fractional Sobolev spaces

This presentation contains a brief introduction about Fractional Sobolev Spaces. We will go over some density properties, embeddings, extension domains and other regularity results. We will consider a negative nonlinearity at 0 (f (0) <0), i.e., we will tackle a semipositone problem studying the existence of positive solutions. Finally, we will present a conjecture and a possible approach to prove it.