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A generalized two dimensional Emden-Fowler equation with exponential nonlinearity

✍ Scribed by Dong Ye; Feng Zhou

Book ID
105746980
Publisher
Springer
Year
2001
Tongue
English
Weight
210 KB
Volume
13
Category
Article
ISSN
0944-2669

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## Abstract Motivated by the study of a two‐dimensional point vortex model, we analyse the following Emden–Fowler type problem with singular potential: where __V__(__x__) = __K__(__x__)/|__x__|^2Ξ±^ with α∈(0, 1), 0<__a__β©½__K__(__x__)β©½__b__< + ∞, βˆ€__x__∈Ω and βˆ₯βˆ‡__K__βˆ₯~∞~β©½__C__. We first extend var