Is there a nonnegative test function $\phi$ in $\mathcal{C}_{\text{c}}^{\infty}(\mathbb{R}^{n})$ such that
- $\Delta\phi(x/k)\to\Delta\phi(0) $ uniformly on bounded sets, as $k\to\infty$ ($\Delta$ is the laplacian)
- $\Delta\phi(0) $ is not zero?
Is there a nonnegative test function $\phi$ in $\mathcal{C}_{\text{c}}^{\infty}(\mathbb{R}^{n})$ such that
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