Infinitely Many Solutions for Partial Discrete Kirchhoff Type Problems Involving p -Laplacian

Feng Xiong ()
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Feng Xiong: Department of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, China

Mathematics, 2023, vol. 11, issue 15, 1-10

Abstract: In this paper, the existence of infinitely many solutions for the partial discrete Kirchhoff-type problems involving p -Laplacian is proven by exploiting the critical point theory for the first time. Moreover, by using the strong maximum principle, we acquire some sufficient conditions for the presence of infinitely many positive solutions to the boundary value problems. Our major outcomes are explained with one example.

Keywords: Kirchhoff-type problem; infinitely many solutions; p -Laplacian; partial difference equation; critical point theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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