A. H. S. Medeiros

On a class of Kirchhoff type problem involving the 1-Laplacian and critical nonlinearity

In this work, we study $1$-Laplacian Kirchhoff type equation with critical nonlinearity. Some of the main novelties here are the presence of the Kirchhoff function $M$ and the study of the asymptotic behavior of the solutions. We consider both the nondegenerate and the degenerate settings, namely, $M(0)> 0$ and $M(0)=0...