| Abstract: |
| The Poisson equation $-\Delta u = f$ in $ R^n$ has a (obviously non unique ) distributional solution $u$ for any given distribution $f$. Not much can be said about $u$ in such a general setting. However, when $f$ is a $L^p$ function, $u$ can be selected in the corresponding homogeneous Sobolev space. We focus on the critical case when $p$ is $n/2$. |
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