Work

Concentration phenomena for a fourth-order equation on ℝn

Year: 2009
Type: article
Abstract: We consider the problem 2 u = K ( y)|u| 8/(n-4) u in ‫ޒ‬ n with u, u → 0 as | y| → ∞, where K is a bounded and continuous function on ‫ޒ‬ n , n ≥ 5. Our aim is to construct infinitely many solutions which concentrate around k points, k ≥ 2, under some appropriate conditions on K .Moreover we prove that there is no solution which concentrates at one point.
Language: English
Open Access status: bronze
OpenAlex ID: W1965500979
FWCI: 0.513
Cites: 21
Cited by: 4
Related to: 10