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The neumann eigenvalue problem

✍ Scribed by Fichera, Gaetano


Book ID
120996132
Publisher
Taylor and Francis Group
Year
1973
Tongue
English
Weight
905 KB
Volume
3
Category
Article
ISSN
0003-6811

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Eigenvalues of the -Laplacian Neumann pr
✍ Xianling Fan πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 275 KB

We study the eigenvalues of the p(x)-Laplacian operator with zero Neumann boundary condition on a bounded domain, where p(x) is a continuous function defined on the domain with p(x) > 1. We show that, similarly to the p-Laplacian case, the smallest eigenvalue of the problem is 0 and it is simple, an