Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844833 | Nonlinear Analysis: Theory, Methods & Applications | 2006 | 43 Pages |
Abstract
We study nonlinear eigenvalue problems for the pp-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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Authors
An Lê,