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Ground state solutions for the singular Lane–Emden–Fowler equation with sublinear convection term

✍ Scribed by Marius Ghergu; Vicenţiu Rădulescu

Book ID
108175737
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
125 KB
Volume
333
Category
Article
ISSN
0022-247X

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✍ Daniele Bartolucci; Eugenio Montefusco 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 196 KB 👁 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__|^2α^ with α∈(0, 1), 0<__a__⩽__K__(__x__)⩽__b__< + ∞, ∀__x__∈Ω and ∥∇__K__∥~∞~⩽__C__. We first extend var