Eigenvalues of the -Laplacian Neumann pr
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Xianling Fan
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Article
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2007
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Elsevier Science
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English
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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