Caffarelli-Kohn-Nirenberg inequality for biharmonic equations with inhomogeneous term and Rellich potential
In this article, multiplicity of nontrivial solutions for an inhomogeneous singular biharmonic equation with Rellich potential are studied. Firstly, a negative energy solution of the studied equations is achieved via the Ekeland’s variational principle and Caffarelli–Kohn–Nirenberg inequality. Then...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2023
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Caffarelli-Kohn-Nirenberg egyenlőtlenség, Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2023.1.26 |
| Online Access: | http://acta.bibl.u-szeged.hu/82276 |
| Tartalmi kivonat: | In this article, multiplicity of nontrivial solutions for an inhomogeneous singular biharmonic equation with Rellich potential are studied. Firstly, a negative energy solution of the studied equations is achieved via the Ekeland’s variational principle and Caffarelli–Kohn–Nirenberg inequality. Then by applying Mountain pass theorem lack of Palais–Smale conditions, the second solution with positive energy is also obtained. |
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| Terjedelem/Fizikai jellemzők: | 11 |
| ISSN: | 1417-3875 |