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Uniformly asymptotic formulas for the Emden-Fowler differential equation

โœ Scribed by M.L.J Hautus


Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
644 KB
Volume
30
Category
Article
ISSN
0022-247X

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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