Global Higher Integrability of the Gradient of the A-Laplace Equation Solution

Abdeslem Lyaghfouri

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arXiv · 2104.08831

Global Higher Integrability of the Gradient of the A-Laplace Equation Solution

Abdeslem Lyaghfouri

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Abstract

In this paper, we establish higher integrability of the gradient of the solution of the quasilinear elliptic equation $\Delta_Au=\text{div}\left(\frac{a(|F|)}{|F|}F\right)$ in $\mathbb{R}^n$, where $\Delta_Au$ is the so called A-Laplace operator.

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Abdeslem Lyaghfouri. 2021-04-18. Global Higher Integrability of the Gradient of the A-Laplace Equation Solution. https://arxiv.org/abs/2104.08831

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