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Multipeak solutions for some singularly perturbed nonlinear elliptic problems on Riemannian manifolds

โœ Scribed by E. N. Dancer; A. M. Micheletti; A. Pistoia


Publisher
Springer
Year
2008
Tongue
English
Weight
343 KB
Volume
128
Category
Article
ISSN
0025-2611

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On the existence of positive solutions f
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