Multiple solutions for critical nonhomogeneous elliptic systems in non-contractible domain
Copyright policy )Multiple solutions for critical nonhomogeneous elliptic systems in non-contractible 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 inner hole of the annulus is sufficiently small.
- Zhejiang Ocean University China (People's Republic of)
- Zhengzhou University China (People's Republic of)
- Zhengzhou University of Aeronautics China (People's Republic of)
- University of Shanghai for Science and Technology China (People's Republic of)
second-order elliptic system, existence, variational methods, Boundary value problems for second-order elliptic systems, Existence problems for PDEs: global existence, local existence, non-existence, Variational methods for elliptic systems, Dirichlet problem
second-order elliptic system, existence, variational methods, Boundary value problems for second-order elliptic systems, Existence problems for PDEs: global existence, local existence, non-existence, Variational methods for elliptic systems, Dirichlet problem
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