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Numerical Optimization of Low Eigenvalues of the Dirichlet and Neumann Laplacians

✍ Scribed by Antunes, Pedro R. S.; Freitas, Pedro


Book ID
113072720
Publisher
Springer
Year
2012
Tongue
English
Weight
824 KB
Volume
154
Category
Article
ISSN
0022-3239

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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