Dirichlet Laplacian eigenvalue
= Dirichlet Laplacian eigenvalue
{c}
{title2=$\lambda_j$}
A Dirichlet Laplacian eigenvalue is a number $\lambda$ for which $-\Delta u=\lambda u$ has a nonzero solution with zero boundary trace. At such a value, the shifted operator $\Delta+\lambda$ is not invertible.