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arXiv · 2502.06273

Local behaviour of the second order derivatives of solutions to $p$-Laplace equations

Felice Iandoli·Domenico Vuono
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Abstract

We consider the equation $- \Delta_{p} u = f(x)$ in $\Omega,$ where $\Delta_{p}$ is the $p$-Laplace operator. We provide $L^{\infty}$-type estimates for the second derivatives of solutions when $p$ approaches to $2$.

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Felice Iandoli, Domenico Vuono. 2025-02-10. Local behaviour of the second order derivatives of solutions to $p$-Laplace equations. https://arxiv.org/abs/2502.06273

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