NONEXISTENCE AND EXISTENCE RESULTS FOR A 2nth-ORDER DISCRETE DIRICHLET BOUNDARY VALUE PROBLEM

作者：Shi Haiping^*; Liu Xia; Zhang Yuanbiao

来源：Kodai Mathematical Journal, 2014, 37(2): 492-505.

• Nonexistence and existence
• Dirichlet boundary value problem
• 2nth-order
• Mountain Pass Lemma
• Discrete variational theory

This paper is concerned with a 2nth-order nonlinear difference equation. By making use of the critical point method, we establish various sets of sufficient conditions for the nonexistence and existence of solutions for Dirichlet boundary value problem and give some new results. The existing results are generalized and significantly complemented.

• 单位
  暨南大学; 湖南农业大学; 济南大学