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
Hauptverfasser: Duan, Xueliang, Wei, Gongming, Yang, Haitao
Format: Artikel
Sprache:eng
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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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7289