Título:  Solutions for a class of Dirac equations

Palestrante: Pedro Ubilla - Universidad de Santiago de Chile - Chile

Abstract.:       

Here, we consider various perturbations of the following critical equation, which produce solutions:

−∆u = u ^{2 ⋆−1} in Ω, u = 0 on ∂Ω.

It should be noted that one of the pioneering works on this type of problem was carried out by Brezis and Nirenberg, who studied the equation:

−∆u = u ^{2 ⋆−1} + λu in Ω, u = 0 on ∂Ω.