Multiple solutions for critical nonhomogeneous elliptic systems in
non-contractible domain
- Xueliang Duan,
- Gongming Wei,
- Haitao Yang
Gongming Wei
University of Shanghai for Science and Technology
Author ProfileAbstract
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