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The limit as(p ightarrow infty )for the eigenvalue problem of the 1-homogeneous(p)-Laplacian

✍ Scribed by Pedro J. Martínez-Aparicio, Mayte Pérez-Llanos…


Book ID
120714340
Publisher
Universidad Complutense de Madrid
Year
2013
Tongue
Spanish
Weight
259 KB
Volume
27
Category
Article
ISSN
1139-1138

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Eigenvalue problems for the p-Laplacian
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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