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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
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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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Abstract

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.

Peer review status:UNDER REVIEW

14 Aug 2020Submitted to Mathematical Methods in the Applied Sciences
14 Aug 2020Assigned to Editor
14 Aug 2020Submission Checks Completed
23 Aug 2020Reviewer(s) Assigned