On the average value for nonconstant eigenfunctions of the p - Laplacian assuming Neumann boundary data ∗ Stephen
نویسنده
چکیده
We show that nonconstant eigenfunctions of the p-Laplacian do not necessarily have an average value of 0, as they must when p = 2. This fact has implications for deriving a sharp variational characterization of the second eigenvalue for a general class of nonlinear eigenvalue problems.
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