ON THE NONEXISTENCE AND EXISTENCE OF SOLUTIONS FOR A FOURTH-ORDER DISCRETE DIRICHLET BOUNDARY VALUE PROBLEM

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

来源：Quaestiones Mathematicae, 2015, 38(2): 203-216.

DOI：10.2989/16073606.2014.981712

• Nonexistence and existence
• Dirichlet boundary value problem
• fourth-order
• mountain pass lemma
• discrete variational theory

This paper is concerned with a class of fourth-order nonlinear difference equations. By using the critical point theory, we establish various sets of sufficient conditions of the nonexistence and existence of solutions for a Dirichlet boundary value problem and give some new results. Results obtained generalize and complement the existing ones.

• 单位
  济南大学; 暨南大学; 湖南农业大学