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Concentration of solutions for a singularly perturbed mixed problem in non-smooth domains

โœ Scribed by Serena Dipierro


Book ID
119292827
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
469 KB
Volume
254
Category
Article
ISSN
0022-0396

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Multiple positive solutions for singular
โœ Giovanna Cerami; Riccardo Molle ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 149 KB

The equation -ฮต 2 u + a ฮต (x)u = u p-1 with boundary Dirichlet zero data is considered in an exterior domain = R N \ ฯ‰ (ฯ‰ bounded and N 2). Under the assumption that a ฮต a 0 > 0 concentrates round a point of as ฮต โ†’ 0, that p > 2 and p < 2N/(N -2) when N 3, the existence of at least three positive di