Highly oscillatory solutions of a Neumann problem for a $p$-laplacian equation

Alberto Boscaggin, Walter Dambrosio

We deal with a boundary value problem of the form $-\epsilon ({\varphi }_p(\epsilon u^{\prime }){)}^{\prime }+a(x)W^{\prime }(u)=0,u^{\prime }(0)=0=u^{\prime }(1),$ where ${\varphi }_p(s)=|s{|}^{p-2}s$ for $s\in \mathbb{R}$ and $p>1$, and $W:[…