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A weighted eigenvalue problem for the p-Laplacian plus a potential

✍ Scribed by Mabel Cuesta; Humberto Ramos Quoirin


Book ID
105766115
Publisher
SP Birkhäuser Verlag Basel
Year
2009
Tongue
English
Weight
338 KB
Volume
16
Category
Article
ISSN
1021-9722

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Eigenvalue problems for the p-Laplacian
✍ An Lê 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 347 KB

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