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Small-Time Existence and Two Classes of Solutions for the\(n\)-Dimensional Coupled Yukawa Equations

โœ Scribed by Haussermann, John; Van Gorder, Robert A.

Book ID
124148489
Publisher
Springer-Verlag
Year
2014
Tongue
English
Weight
233 KB
Volume
23
Category
Article
ISSN
0971-3514

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## Abstract Motivated by the study of a twoโ€dimensional point vortex model, we analyse the following Emdenโ€“Fowler type problem with singular potential: where __V__(__x__) = __K__(__x__)/|__x__|^2ฮฑ^ with ฮฑโˆˆ(0, 1), 0<__a__โฉฝ__K__(__x__)โฉฝ__b__< + โˆž, โˆ€__x__โˆˆฮฉ and โˆฅโˆ‡__K__โˆฅ~โˆž~โฉฝ__C__. We first extend var