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On the existence of solutions of the first boundary-value problem for elliptic systems of high order in unbounded domains

โœ Scribed by A. L. Beklaryan

Book ID
126052024
Publisher
SP MAIK Nauka/Interperiodica
Year
2014
Tongue
English
Weight
544 KB
Volume
96
Category
Article
ISSN
0001-4346

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On the existence of positive solutions f
On the existence of positive solutions for some nonlinear elliptic problems in unbounded domain in
โœ Syrine Masmoudi ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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