Multiplicity of Solutions for Discrete 2<i>n</i>-TH Order Periodic Boundary Value Problem with <i>φ</i><sub>p</sub>-Laplacian
The purpose of this paper is to investigate the existence and multiplicity of nontrivial solutions with the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>φ</mi><mi>p</mi></...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-02-01
|
| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/13/3/163 |
| _version_ | 1797242058643079168 |
|---|---|
| author | Jiabin Zuo Omar Hammouti Said Taarabti |
| author_facet | Jiabin Zuo Omar Hammouti Said Taarabti |
| author_sort | Jiabin Zuo |
| collection | DOAJ |
| description | The purpose of this paper is to investigate the existence and multiplicity of nontrivial solutions with the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>φ</mi><mi>p</mi></msub></semantics></math></inline-formula>-Laplacian for the discrete <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>2</mn><mi>n</mi></mrow></semantics></math></inline-formula>-th order periodic boundary value issue. To support these conclusions, we have employed variational techniques and contemporary critical point theory. A few new findings are expanded upon and enhanced. We give an example to show how our key findings can be applied. |
| first_indexed | 2024-04-24T18:33:11Z |
| format | Article |
| id | doaj.art-3621b5af3ac1446186be5c8704826563 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-04-24T18:33:11Z |
| publishDate | 2024-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-3621b5af3ac1446186be5c87048265632024-03-27T13:20:59ZengMDPI AGAxioms2075-16802024-02-0113316310.3390/axioms13030163Multiplicity of Solutions for Discrete 2<i>n</i>-TH Order Periodic Boundary Value Problem with <i>φ</i><sub>p</sub>-LaplacianJiabin Zuo0Omar Hammouti1Said Taarabti2School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaLaboratory LAMA, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, B.P. 1796 Fès-Atlas, Fez 30000, MoroccoLISTI, National School of Applied Sciences of Agadir, Ibn Zohr University, Agadir 80000, MoroccoThe purpose of this paper is to investigate the existence and multiplicity of nontrivial solutions with the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>φ</mi><mi>p</mi></msub></semantics></math></inline-formula>-Laplacian for the discrete <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>2</mn><mi>n</mi></mrow></semantics></math></inline-formula>-th order periodic boundary value issue. To support these conclusions, we have employed variational techniques and contemporary critical point theory. A few new findings are expanded upon and enhanced. We give an example to show how our key findings can be applied.https://www.mdpi.com/2075-1680/13/3/163discrete boundary value problemscritical point theoryvariational methods |
| spellingShingle | Jiabin Zuo Omar Hammouti Said Taarabti Multiplicity of Solutions for Discrete 2<i>n</i>-TH Order Periodic Boundary Value Problem with <i>φ</i><sub>p</sub>-Laplacian Axioms discrete boundary value problems critical point theory variational methods |
| title | Multiplicity of Solutions for Discrete 2<i>n</i>-TH Order Periodic Boundary Value Problem with <i>φ</i><sub>p</sub>-Laplacian |
| title_full | Multiplicity of Solutions for Discrete 2<i>n</i>-TH Order Periodic Boundary Value Problem with <i>φ</i><sub>p</sub>-Laplacian |
| title_fullStr | Multiplicity of Solutions for Discrete 2<i>n</i>-TH Order Periodic Boundary Value Problem with <i>φ</i><sub>p</sub>-Laplacian |
| title_full_unstemmed | Multiplicity of Solutions for Discrete 2<i>n</i>-TH Order Periodic Boundary Value Problem with <i>φ</i><sub>p</sub>-Laplacian |
| title_short | Multiplicity of Solutions for Discrete 2<i>n</i>-TH Order Periodic Boundary Value Problem with <i>φ</i><sub>p</sub>-Laplacian |
| title_sort | multiplicity of solutions for discrete 2 i n i th order periodic boundary value problem with i φ i sub p sub laplacian |
| topic | discrete boundary value problems critical point theory variational methods |
| url | https://www.mdpi.com/2075-1680/13/3/163 |
| work_keys_str_mv | AT jiabinzuo multiplicityofsolutionsfordiscrete2inithorderperiodicboundaryvalueproblemwithiphisubpsublaplacian AT omarhammouti multiplicityofsolutionsfordiscrete2inithorderperiodicboundaryvalueproblemwithiphisubpsublaplacian AT saidtaarabti multiplicityofsolutionsfordiscrete2inithorderperiodicboundaryvalueproblemwithiphisubpsublaplacian |