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Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology

✍ Scribed by Vieri Benci; Giovanna Cerami

Publisher
Springer
Year
1994
Tongue
English
Weight
774 KB
Volume
2
Category
Article
ISSN
0944-2669

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✍ Syrine Masmoudi πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 238 KB

We are interested in the following nonlinear elliptic equation u + u (., u) = 0 in D, where D is a smooth unbounded domain in R 2 . Under appropriate conditions on the nonlinearity (x, t), related to a certain Kato class, we give some existence results and asymptotic behavior for positive solutions