Multiplicity solutions of an elliptic system in exterior domain with rich topology

作者：Yu; Xiaohui

来源：Journal of Mathematical Analysis and Applications, 2010, 363(2): 718-728.

DOI：10.1016/j.jmaa.2009.10.005

• Exterior domain
• Nonlinear elliptic system
• Multiplicity solutions
• Rich topology

We study the multiplicity solutions for the nonlinear elliptic system
{-Delta u lambda u = |u|(p-1)u lambda mu v in Omega, -Delta v lambda v = |v|(p-1)v lambda mu u in Omega, u = v = 0 on partial derivative Omega,
where Omega is an exterior domain in R(N), N >= 3. We will show that under some assumptions, the system has at least 3 cat ((Omega) over bar)[(Omega) over bar, R(N)\B((rho) over bar) (0)] solutions.

• 出版日期2010-3-15
• 单位深圳大学