Yuqing Wang

collaborators

2 papers

math.AP2024

Second order Sobolev regularity for normalized parabolic $p (x)$ -Laplace equations via the algebraic structure

Yuqing Wang, Yizhe Zhu

Denote by $Δ$ the Laplacian and by $Δ_{\infty}$ the $\infty$ -Laplacian. A fundamental inequality is proved for the algebraic structure of $Δ v Δ_{\infty} v$ : for every $v \in C^{\infty}$ ,…

math.AP2024

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

Yuqing Wang, Yuan Zhou

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

Second order Sobolev regularity for normalized parabolic p(x)-Laplace equations via the algebraic structure

A quantitative second order Sobolev regularity for (inhmogeneous) normalized p(⋅)-Laplace equations

Second order Sobolev regularity for normalized parabolic $p (x)$ -Laplace equations via the algebraic structure

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