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On the existence of catching-up optimal solutions for Lagrange problems defined on unbounded intervals

✍ Scribed by D. A. Carlson


Publisher
Springer
Year
1986
Tongue
English
Weight
980 KB
Volume
49
Category
Article
ISSN
0022-3239

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On the existence of positive solutions f
✍ 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