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arXiv · 2112.01791

Anisotropic Sobolev spaces with weights

Giorgio Metafune·Luigi Negro·Chiara Spina
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Abstract

We study Sobolev spaces with weights in the half-space $\mathbb{R}^{N+1}_+=\{(x,y): x \in \mathbb{R}^N, y>0\}$, adapted to the singular elliptic operators \begin{equation*} \mathcal L =y^{\alpha_1}\Delta_{x} +y^{\alpha_2}\left(D_{yy}+\frac{c}{y}D_y -\frac{b}{y^2}\right). \end{equation*}

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Giorgio Metafune, Luigi Negro, Chiara Spina. 2021-12-03. Anisotropic Sobolev spaces with weights. https://arxiv.org/abs/2112.01791

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