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Non-radial solutions with group invariance for the sublinear Emden–Fowler equation

✍ Scribed by Ryuji Kajikiya

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 400 KB
Volume: 47
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(01)00495-3

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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__|^2α^ with α∈(0, 1), 0<__a__⩽__K__(__x__)⩽__b__< + ∞, ∀__x__∈Ω and ∥∇__K__∥~∞~⩽__C__. We first extend var