Solvability of Dirichlet boundary value problems governed by non-monotone differential operators

Francesca Anceschi, Cristina Marcelli, Francesca Papalini

We prove existence results for Dirichlet boundary value problems for equations of the type \begin{align*} \left( Φ(k(t) x'(t) ) \right)' = f(t, x(t) , x'(t) ) \qquad \text{for a.e…