Projects per year
We verify the existence of radial positive solutions for the semilinear equation (Formula presented.) where N ≥ 3, p is close to p* ≔ (N+ 2)/(N − 2), and V is a radial smooth potential. If q is super-critical, namely q > p*, we prove that this problem has a radial solution behaving like a superposition of bubbles blowing-up at the origin with different rates of concentration, provided V(0) < 0. On the other hand, if N/(N − 2) < q < p*, we prove that this problem has a radial solution behaving like a super-position of flat bubbles with different rates of concentration, provided lim r→∞V(r) < 0.
|Number of pages||16|
|Journal||Journal d'Analyse Mathematique|
|Publication status||Published - 1 Mar 2020|
ASJC Scopus subject areas
FingerprintDive into the research topics of 'A semilinear elliptic equation with competing powers and a radial potential'. Together they form a unique fingerprint.
- 1 Active
Concentration phenomena in nonlinear analysis
Engineering and Physical Sciences Research Council
27/04/20 → 31/03/24
Project: Research council