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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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | 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. |
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ISSN: | 0170-4214 1099-1476 |
DOI: | 10.1002/mma.7289 |