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Non-simple blow-up solutions for the Neumann two-dimensional sinh-Gordon equation

✍ Scribed by Pierpaolo Esposito; Juncheng Wei

Publisher
Springer
Year
2008
Tongue
English
Weight
393 KB
Volume
34
Category
Article
ISSN
0944-2669

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Blow-up analysis, existence and qualitat
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✍ Daniele Bartolucci; Eugenio Montefusco πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 196 KB πŸ‘ 1 views

## 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