Stephen B. Robinson
Abstract:
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.
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Stephen B. Robinson Department of Mathematics Wake Forest University Winston-Salem, NC 27109, USA e-mail: sbr@wfu.edu |
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