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Compact embeddings in the generalized Sobolev space and existence of solutions for nonlinear elliptic problems

✍ Scribed by Takao Ohno


Book ID
108216219
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
492 KB
Volume
71
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


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