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Eigenvalue problems for the p-Laplacian

✍ Scribed by An Lê

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 347 KB
Volume: 64
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2005.05.056

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✦ Synopsis

We study nonlinear eigenvalue problems for the p-Laplace operator subject to different kinds of boundary conditions on a bounded domain. Using the Ljusternik-Schnirelman principle, we show the existence of a nondecreasing sequence of nonnegative eigenvalues. We prove the simplicity and isolation of the principal eigenvalue and give a characterization for the second eigenvalue.

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