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Bifurcation for Neumann problems without eigenvalues

โœ Scribed by C.A Stuart


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
683 KB
Volume
36
Category
Article
ISSN
0022-0396

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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