On a quasilinear elliptic problem involving the 1-Laplacian operator and a discontinuous nonlinearity
On a quasilinear elliptic problem involving the 1-Laplacian operator and a discontinuous nonlinearity
In this work, we study a quasilinear elliptic problem involving the 1-Laplacian operator, with a discontinuous, superlinear and subcritical nonlinearity involving the Heaviside function $H(\cdot - \beta )$ . Our approach is based on an analysis of the associated p-Laplacian problem, followed by a thorough analysis of the asymptotic behaviour …