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On the existence of positive solutions for some nonlinear elliptic problems in unbounded domain in

✍ Scribed by Syrine Masmoudi

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
238 KB
Volume
62
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 of the above equation.

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