most recent 30 from http://mathoverflow.net 2013-05-21T15:20:30Z http://mathoverflow.net/feeds/question/98383 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/98383/neumann-problem-in-case-f1 mehdi 2012-05-30T14:31:30Z 2012-05-30T14:50:43Z

<p>Is there a solution to the following problem? $-\Delta u = 1$ in $\Omega$ and $\frac{\partial u}{\partial \nu} = 0$ on $\partial \Omega$. where $\Omega$ is bounded.</p>

http://mathoverflow.net/questions/98383/neumann-problem-in-case-f1/98387#98387 Denis Serre 2012-05-30T14:50:43Z 2012-05-30T14:50:43Z

<p>I $\Omega$ is a bounded domain, the answer is <strong>NO</strong>. Because of $$\int_{\Omega}\Delta v dx=\int_{\partial\Omega}\frac{\partial v}{\partial\nu}ds.$$</p>