Some one-dimensional elliptic problems with constraints

Jacopo Schino, Panayotis Smyrnelis

Given $m\in \mathbb{N}\setminus \{0\}$ and $\rho >0$, we find solutions $(\lambda ,u)$ to the problem \begin{equation*} \begin{cases} \bigl(-\frac{\mathrm{d}^2}{\mathrm{d} x^2}\bigr)^m u +…