Stephen B. Robinson
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.
Published February 28, 2003.
Subject classifications: 35P30, 35J20, 35J65.
Key words: Nonlinear eigenvalue problem, p-Laplacian, variational methods.
Show me the PDF file (181K), TEX file, and other files for this article.
| Stephen B. Robinson |
Department of Mathematics
Wake Forest University
Winston-Salem, NC 27109, USA
Return to the table of contents
for this conference.
Return to the Electronic Journal of Differential Equations