具有p-Laplacian算子的离散混合边值问题的多解性被引量：1

Multiple Solutions for the Discrete Mixed Boundary Value Problem Involving the p-Laplacian Operator

导出

摘要应用临界点理论研究了具有p-Laplacian算子的离散混合边值问题的多解存在性.进而,当非线性项f≥0时,得到了该边值问题的一个正解. By means of the critical point theory,we consider the existence of multiple solutions for the discrete mixed boundary value problem involving the p-Laplacian operator.Moreover,if the nonlinearity f≥0,we obtain a positive solution of the boundary value problem.

作者王俊梅 WANG Jun-mei(Department of Mathematics,Luliang University,Luliang 033000,China)

机构地区吕梁学院数学系

出处《数学的实践与认识》北大核心 2020年第16期226-231,共6页 Mathematics in Practice and Theory

基金山西省高等学校教学改革项目(J2020352)。

关键词差分方程 P-LAPLACIAN算子离散混合边值问题多解临界点理论 difference equations p-Laplacian operator discrete mixed boundary value problem multiple solutions critical point theory

分类号 O175.8 [理学—基础数学]