| Abstract: |
| We prove uniqueness results for weak
solutions to a class of Neumann problems, whose prototype is
\begin{gather*}
\begin{cases}
\null \lambda (1+ u^2)^{(p-2)/2}u-\diw((1+|\nabla u|^2)^{(p-2)/2} \nabla u) & \qquad\
- \diw(c(x) (1+|u|^2)^{(\tau+1)/2}) +b(x) (1+|\nabla u|^2)^{(\sigma+1)/2}=f &\text{ in } \Omega\
\left( (1+|\nabla u|^2)^{(p-2)/2} \nabla u + c(x) (1+|u|^2)^{(\tau+1)/2})
\right)\cdot\underline n=0 & \text{on}\ \partial \Omega \,,
\end{cases}
\end{gather*}
where $\Omega$ is a bounded open subset of $\R^N$ $(N\ge 2)$ with Lipschitz boundary,
$p$ is a real number $\frac{2N}{N+1}< p |
|