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Multiple solutions for critical nonhomogeneous elliptic systems in non-contractible domain
  • Xueliang Duan,
  • Gongming Wei,
  • Haitao Yang
Xueliang Duan
Zhejiang University

Corresponding Author:[email protected]

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Gongming Wei
University of Shanghai for Science and Technology
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Haitao Yang
Zhejiang University
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The paper is concerned with the multiple solutions of a nonhomogeneous elliptic system with critical exponent over a non-contractible domain, precisely, a smooth bounded annular domain. We prove the existence of four solutions using variational methods and Lusternik-Schnirelmann theorey, when the inner hole of the annulus is sufficiently small.
14 Aug 2020Submitted to Mathematical Methods in the Applied Sciences
14 Aug 2020Submission Checks Completed
14 Aug 2020Assigned to Editor
23 Aug 2020Reviewer(s) Assigned
10 Jan 2021Review(s) Completed, Editorial Evaluation Pending
22 Jan 2021Editorial Decision: Accept