Fifth Mississippi State Conference on Differential Equations and
Computational Simulations,
Electron. J. Diff. Eqns., Conf. 10, 2002, pp. 251156.
On the average value for nonconstant eigenfunctions of the
pLaplacian assuming Neumann boundary data
Stephen B. Robinson
Abstract:
We show that nonconstant eigenfunctions of the pLaplacian 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, pLaplacian, 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
WinstonSalem, NC 27109, USA
email: sbr@wfu.edu 
Return to the table of contents
for this conference.
Return to the Electronic Journal of Differential Equations