Existence of a Nontrivial Solution for a Class of Superquadratic Elliptic Problems

• 作 者: Xiuming Mo Ping Jing Yan Zhao
• 机 构: DepartmentofBiotechnology,Employee’sCollegeofDongchenginBeijing,SchoolofMathematicalSciences,Schoolo
• 出 处: 理论数学进展(英文)
• 发表日期: 2012年5期
• 关键词: ELLIPTIC Problems Local LINKING THEOREM (C)* CONDITION SUPERQUADRATIC Elliptic P

We consider the existence of a nontrivial solution for the Dirichlet boundary value problem -△u+a(x)u=g(x,u),in Ω u=0, on Ω We prove an abstract result on the existence of a critical point for the functional f on a Hilbert space via the local linking theo