I am looking for references on estimate of first nonzero Dirichlet eigenvalue for Schrodinger operator $-\Delta + V$, if sharp bounds exist, that would be better, here for simplicity, we can assume domain is in unit ball of $\mathbb{R}^n$, $n\ge 2$. Here $V$ is assumed to be bounded from below and above. Thanks.
$\begingroup$
$\endgroup$
2
-
$\begingroup$ mathoverflow.net/questions/168882/… $\endgroup$– Carlo BeenakkerCommented Jun 22, 2016 at 20:41
-
$\begingroup$ @CarloBeenakker I have read the papers in that post, I am not asking about the exact question actually, the first eigenvalue is definitely positive here and the bounds I found are not very sharp. That is why I asked the same question but different purpose. $\endgroup$– YiminCommented Jun 22, 2016 at 21:34
Add a comment
|