Existence and nonexistence results for a 2n-th order p-Laplacian discrete Dirichlet boundary value problem

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• 作者：X. Liu (1)
  Y. Zhang (2)
  H. Shi (3)
  
  1. Hunan Agricultural University ; Changsha ; China
  2. Jinan University ; Zhuhai ; China
  3. Guangdong Construction Vocational Technology Institute ; Guangzhou ; China
  
• 关键词：39A10 ; Existence and nonexistence ; Dirichlet boundary value problem ; 2n ; th order p ; Laplacian ; Mountain Pass Lemma ; Discrete variational theory
• 刊名：Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
• 出版年：2014
• 出版时间：November 2014
• 年：2014
• 卷：49
• 期：6
• 页码：287-295
• 全文大小：499 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Russian Library of Science
  
• 出版者：Allerton Press, Inc. distributed exclusively by Springer Science+Business Media LLC
• ISSN：1934-9416

文摘

In this paper 2n-th order p-Laplacian difference equations are considered. Using the critical point method, we establish various sufficient conditions for the existence and nonexistence of solutions for Dirichlet boundary value problem. Recent results in the literature are generalized and significantly complemented, as well as, some new results are obtained.