On fractional discrete p-Laplacian equations via Clark’s theorem
作者：
Highlights：
• It is the first time in the literature to use a weaker condition of V (x) than coercivity to prove the existence of homoclinic solutions for discrete Laplacian problems.
• Different from [13, 14], we obtain more than two homoclinic solutions for problem (1) through quite different methods.
• We introduce a truncation function to deal with problem (1) with concave and convex nonlinearity so that the coercivity of the energy functional can be recovered.
摘要
•It is the first time in the literature to use a weaker condition of V (x) than coercivity to prove the existence of homoclinic solutions for discrete Laplacian problems.•Different from [13, 14], we obtain more than two homoclinic solutions for problem (1) through quite different methods.•We introduce a truncation function to deal with problem (1) with concave and convex nonlinearity so that the coercivity of the energy functional can be recovered.
论文关键词：Discrete fractional p-Laplacian,Homoclinic solutions,Clark’s theorem
论文评审过程：Received 22 May 2022, Revised 11 July 2022, Accepted 22 July 2022, Available online 9 August 2022, Version of Record 9 August 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127443
