Multiple bounded variation solutions for a prescribed mean curvature equation with Neumann boundary conditions

A. Boscaggin, F. Colasuonno, C. De Coster

We prove the existence of multiple positive BV-solutions of the Neumann problem $$ \begin{cases} \displaystyle -\left(\frac{u'}{\sqrt{1+u'^2}}\right)'=a(x)f(u)\quad&\mbox{in }(0,1)…