Multiple solutions for critical nonhomogeneous elliptic systems in noncontractible domain
The paper is concerned with multiple solutions of a nonhomogeneous elliptic system with Sobolev critical exponent over a noncontractible domain, precisely, a smooth bounded annular domain. We prove the existence of four solutions using variational methods and Lusternik–Schnirelmann theory, when the...
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| Veröffentlicht in: | Mathematical methods in the applied sciences 2021-07, Vol.44 (11), p.8615-8637 |
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| container_end_page | 8637 |
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| container_issue | 11 |
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| container_title | Mathematical methods in the applied sciences |
| container_volume | 44 |
| creator | Duan, Xueliang Wei, Gongming Yang, Haitao |
| description | The paper is concerned with multiple solutions of a nonhomogeneous elliptic system with Sobolev critical exponent over a noncontractible domain, precisely, a smooth bounded annular domain. We prove the existence of four solutions using variational methods and Lusternik–Schnirelmann theory, when the inner hole of the annulus is sufficiently small. |
| doi_str_mv | 10.1002/mma.7289 |
| format | Article |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Domains nonlinear elliptic equations Variational methods variational methods for elliptic systems |
| title | Multiple solutions for critical nonhomogeneous elliptic systems in noncontractible domain |
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