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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

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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