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Application of coupling methods to the Neumann eigenvalue problem

โœ Scribed by Feng-Yu Wang


Publisher
Springer
Year
1994
Tongue
English
Weight
318 KB
Volume
98
Category
Article
ISSN
1432-2064

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Eigenvalues of the -Laplacian Neumann pr
โœ Xianling Fan ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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