Blow up analysis, existence and qualitative properties of solutions for the two dimensional emden-fowler equation with singular potential

Blow-up analysis, existence and qualitat

Blow-up analysis, existence and qualitative properties of solutions for the two-dimensional Emden–Fowler equation with singular potential

✍ 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