Details

Autor(en) / Beteiligte

• Duan, Xueliang
• Wei, Gongming
• Yang, Haitao

Titel

Multiple solutions for critical nonhomogeneous elliptic systems in noncontractible domain

Ist Teil von

• Mathematical methods in the applied sciences, 2021-07, Vol.44 (11), p.8615-8637

Ort / Verlag

Freiburg: Wiley Subscription Services, Inc

Erscheinungsjahr

2021

Quelle

Wiley Online Library All Journals

Beschreibungen/Notizen

• 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.