MULTIPLICITY OF SOLUTIONS FOR ELLIPTIC SYSTEMS WITH TOPOLOGICAL METHODS

作者：Jin, Yinghua^*; Choi, Q-Heung; Choi, Kyeongpyo

来源：Rocky Mountain Journal of Mathematics, 2010, 40(3): 943-955.

DOI：10.1216/RMJ-2010-40-3-943

• Elliptic system
• critical point
• linking theorem

We study the existence and multiplicity of solutions of Dirichlet boundary value problem for nonlinear elliptic systems of the form -Delta u = f(x, u, v), -Delta v = g(x, u, v) in Omega, where Omega is a bounded open set in R(n) with smooth boundary partial derivative Omega. To study the system we use the topological methods.

• 出版日期2010
• 单位江南大学