Large Constant-Sign Solutions of Discrete Dirichlet Boundary Value Problems with <i>p</i>-Mean Curvature Operator
In this paper, we consider the existence of infinitely many large constant-sign solutions for a discrete Dirichlet boundary value problem involving <inline-formula> <math display="inline"> <semantics> <mi mathvariant="italic">p</mi> </semantics>...
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/3/381 |
| _version_ | 1818277174991388672 |
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| author | Jianxia Wang Zhan Zhou |
| author_facet | Jianxia Wang Zhan Zhou |
| author_sort | Jianxia Wang |
| collection | DOAJ |
| description | In this paper, we consider the existence of infinitely many large constant-sign solutions for a discrete Dirichlet boundary value problem involving <inline-formula> <math display="inline"> <semantics> <mi mathvariant="italic">p</mi> </semantics> </math> </inline-formula>-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. |
| first_indexed | 2024-12-12T22:57:21Z |
| format | Article |
| id | doaj.art-e408690a94e8491eaf9e6ed527780564 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-12T22:57:21Z |
| publishDate | 2020-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-e408690a94e8491eaf9e6ed5277805642022-12-22T00:08:55ZengMDPI AGMathematics2227-73902020-03-018338110.3390/math8030381math8030381Large Constant-Sign Solutions of Discrete Dirichlet Boundary Value Problems with <i>p</i>-Mean Curvature OperatorJianxia Wang0Zhan Zhou1School of Mathematics and Information Science, Guangzhou University, Guangdong 510006, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangdong 510006, ChinaIn this paper, we consider the existence of infinitely many large constant-sign solutions for a discrete Dirichlet boundary value problem involving <inline-formula> <math display="inline"> <semantics> <mi mathvariant="italic">p</mi> </semantics> </math> </inline-formula>-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.https://www.mdpi.com/2227-7390/8/3/381discrete dirichlet boundary value problem<i>p</i>-mean curvature operatorconstant-sign solutionsdiscrete maximum principlecritical point theory |
| spellingShingle | Jianxia Wang Zhan Zhou Large Constant-Sign Solutions of Discrete Dirichlet Boundary Value Problems with <i>p</i>-Mean Curvature Operator Mathematics discrete dirichlet boundary value problem <i>p</i>-mean curvature operator constant-sign solutions discrete maximum principle critical point theory |
| title | Large Constant-Sign Solutions of Discrete Dirichlet Boundary Value Problems with <i>p</i>-Mean Curvature Operator |
| title_full | Large Constant-Sign Solutions of Discrete Dirichlet Boundary Value Problems with <i>p</i>-Mean Curvature Operator |
| title_fullStr | Large Constant-Sign Solutions of Discrete Dirichlet Boundary Value Problems with <i>p</i>-Mean Curvature Operator |
| title_full_unstemmed | Large Constant-Sign Solutions of Discrete Dirichlet Boundary Value Problems with <i>p</i>-Mean Curvature Operator |
| title_short | Large Constant-Sign Solutions of Discrete Dirichlet Boundary Value Problems with <i>p</i>-Mean Curvature Operator |
| title_sort | large constant sign solutions of discrete dirichlet boundary value problems with i p i mean curvature operator |
| topic | discrete dirichlet boundary value problem <i>p</i>-mean curvature operator constant-sign solutions discrete maximum principle critical point theory |
| url | https://www.mdpi.com/2227-7390/8/3/381 |
| work_keys_str_mv | AT jianxiawang largeconstantsignsolutionsofdiscretedirichletboundaryvalueproblemswithipimeancurvatureoperator AT zhanzhou largeconstantsignsolutionsofdiscretedirichletboundaryvalueproblemswithipimeancurvatureoperator |