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 :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2019
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| 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. |
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| Terjedelem/Fizikai jellemzők: | 1-20 |
| ISSN: | 1417-3875 |