| Abstract: |
| This talk concerns the higher differentiability of the solution $u$ to the Dirichlet problem:
\begin{equation*}
\begin{cases}
\textrm{div} (A(x, Du)) + B(x,u)=f & \hbox{in $\Omega$}
\cr \cr
u=0 &\hbox{on $\partial \Omega$}
\end{cases}
\end{equation*}
on a bounded lipschitz domain $\Omega$ in $\mathbb R^n$. The lower order term $B(x,u)$ is controlled with respect to spatial variable by a function $b(x)$ belonging to the Marcinkiewicz space $L^{n,\infty}$. This work is in collaboration with Fernando Farroni. |
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