Large Constant-Sign Solutions of Discrete Dirichlet Boundary Value Problems with p -Mean Curvature Operator

Jianxia Wang and Zhan Zhou
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Jianxia Wang: School of Mathematics and Information Science, Guangzhou University, Guangdong 510006, China
Zhan Zhou: School of Mathematics and Information Science, Guangzhou University, Guangdong 510006, China

Mathematics, 2020, vol. 8, issue 3, 1-12

Abstract: In this paper, we consider the existence of infinitely many large constant-sign solutions for a discrete Dirichlet boundary value problem involving p -mean curvature operator. The methods are based on the critical point theory and truncation techniques. Our results are obtained by requiring appropriate oscillating behaviors of the non-linear term at infinity, without any symmetry assumptions.

Keywords: discrete Dirichlet boundary value problem; p -mean curvature operator; constant-sign solutions; discrete maximum principle; critical point theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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