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Isoperimetric estimates for the first eigenfunction of a class of linear elliptic problems

✍ Scribed by M. F. Betta; F. Chiacchio; A. Ferone


Publisher
Springer
Year
2006
Tongue
English
Weight
192 KB
Volume
58
Category
Article
ISSN
0044-2275

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Weak Eigenfunctions for the Linearizatio
✍ Xavier CabrΓ©; Yvan Martel πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 466 KB

We consider the semilinear elliptic problem where \* is a nonnegative parameter and g is a positive, nondecreasing, convex nonlinearity. There exists a value \*\* of the parameter which is extremal in terms of existence of solution. We study the linearization of the semilinear problem at the extrem