Nonexistence and existence results for a 2$n$th-order $p$-Laplacian discrete Neumann boundary value problem

Authors

  • H. Shi Modern Business and Management‎ ‎Department‎, ‎Guangdong Construction Polytechnic‎, ‎Guangzhou 510440‎, ‎China.
  • X. Liu Oriental Science and‎ ‎Technology College‎, ‎Hunan Agricultural University‎, ‎Changsha 410128‎, ‎China‎, ‎and Science College‎, ‎Hunan‎ ‎Agricultural University‎, ‎Changsha 410128‎, ‎China.
  • Y. Zhang Packaging Engineering Institute‎, ‎Jinan University‎, ‎Zhuhai 519070‎, ‎China.
Abstract:

This paper is concerned with a 2nth-order p-Laplacian difference equation. By using the critical point method, we establish various sets of sufficient conditions for the nonexistence and existence of solutions for Neumann boundary value problem and give some new results. Results obtained successfully generalize and complement the existing ones.

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Journal title

volume 42  issue 6

pages  1507- 1521

publication date 2016-12-18

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