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arXiv · 2203.01206

The Green function for p-Laplace operators

Sabina Angeloni·Pierpaolo Esposito
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Abstract

On a bounded domain $\Omega \subset \mathbb{R}^N$, $N\geq 2$, we consider existence, uniqueness and "regularity" issues for the Green function $G_\lambda$ of the quasi-linear operator $u \to -\Delta_p u-\lambda |u|^{p-2}u$ with $1 0$ is the first eigenvalue of $-\Delta_p$.

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Sabina Angeloni, Pierpaolo Esposito. 2022-03-02. The Green function for p-Laplace operators. https://arxiv.org/abs/2203.01206

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