A Morse inequality for a fourth order elliptic equation on a bounded domain
This article deals with the existence of multiple solutions of a fourth order elliptic equation with a critical nonlinearity on a bounded domain of Rn , n ≥ 5. We develop an approach to overcome the lack of compactness of the problem and we establish under a generic hypothesis a Morse inequality pro...
Elmentve itt :
Szerzők: | |
---|---|
Dokumentumtípus: | Folyóirat |
Megjelent: |
2019
|
Sorozat: | Electronic journal of qualitative theory of differential equations
|
Kulcsszavak: | Differenciálegyenlet - elliptikus |
doi: | 10.14232/ejqtde.2019.1.35 |
Online Access: | http://acta.bibl.u-szeged.hu/62113 |
Tartalmi kivonat: | This article deals with the existence of multiple solutions of a fourth order elliptic equation with a critical nonlinearity on a bounded domain of Rn , n ≥ 5. We develop an approach to overcome the lack of compactness of the problem and we establish under a generic hypothesis a Morse inequality providing a lower bound of the number of solutions. |
---|---|
Terjedelem/Fizikai jellemzők: | 1-20 |
ISSN: | 1417-3875 |