A quantitative second order Sobolev regularity for (inhmogeneous) normalized $p(\cdot )$-Laplace equations

Yuqing Wang, Yuan Zhou

Let $\Omega$ be a domain of ${\mathbb{R}}^n$ with $n\ge 2$ and $p(\cdot )$ be a local Lipschitz funcion in $\Omega$ with $1<p(x)<\infty$ in $\Omega$. We build up an interior quantitative second order…