Existence of Solutions for the Discrete Dirichlet Problem Involving p-Mean Curvature Operator
This work is to discuss the Dirichlet boundary value problem of the difference equation with p -mean curvature operator. Under some determinate growth conditions on the nonlinear term, the existence of one solution or two nontrivial solutions is obtained via variational methods and some analysis tec...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/6591523 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832547140867457024 |
|---|---|
| author | Jianxia Wang Zhan Zhou |
| author_facet | Jianxia Wang Zhan Zhou |
| author_sort | Jianxia Wang |
| collection | DOAJ |
| description | This work is to discuss the Dirichlet boundary value problem of the difference equation with p -mean curvature operator. Under some determinate growth conditions on the nonlinear term, the existence of one solution or two nontrivial solutions is obtained via variational methods and some analysis techniques. Examples are also given to illustrate our theorems in the last section. |
| format | Article |
| id | doaj-art-3ceecb1a561e4426aa8fe2ffe9640ed2 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3ceecb1a561e4426aa8fe2ffe9640ed22025-02-03T06:45:46ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/65915236591523Existence of Solutions for the Discrete Dirichlet Problem Involving p-Mean Curvature OperatorJianxia Wang0Zhan Zhou1School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaThis work is to discuss the Dirichlet boundary value problem of the difference equation with p -mean curvature operator. Under some determinate growth conditions on the nonlinear term, the existence of one solution or two nontrivial solutions is obtained via variational methods and some analysis techniques. Examples are also given to illustrate our theorems in the last section.http://dx.doi.org/10.1155/2020/6591523 |
| spellingShingle | Jianxia Wang Zhan Zhou Existence of Solutions for the Discrete Dirichlet Problem Involving p-Mean Curvature Operator Discrete Dynamics in Nature and Society |
| title | Existence of Solutions for the Discrete Dirichlet Problem Involving p-Mean Curvature Operator |
| title_full | Existence of Solutions for the Discrete Dirichlet Problem Involving p-Mean Curvature Operator |
| title_fullStr | Existence of Solutions for the Discrete Dirichlet Problem Involving p-Mean Curvature Operator |
| title_full_unstemmed | Existence of Solutions for the Discrete Dirichlet Problem Involving p-Mean Curvature Operator |
| title_short | Existence of Solutions for the Discrete Dirichlet Problem Involving p-Mean Curvature Operator |
| title_sort | existence of solutions for the discrete dirichlet problem involving p mean curvature operator |
| url | http://dx.doi.org/10.1155/2020/6591523 |
| work_keys_str_mv | AT jianxiawang existenceofsolutionsforthediscretedirichletprobleminvolvingpmeancurvatureoperator AT zhanzhou existenceofsolutionsforthediscretedirichletprobleminvolvingpmeancurvatureoperator |