Existence results of nontrivial solutions for a new p(x)-biharmonic problem with weight function
In this paper, we study a class of p(x)-biharmonic problems with negative nonlocal terms and weight function. Using the mountain pass theorem and the Ekeland's variational principle, at least three solutions are obtained. We also give some comments on the existence of infinite many solutions fo...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-02-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022473?viewType=HTML |
| _version_ | 1819280441912328192 |
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| author | Wei Guo Jinfu Yang Jiafeng Zhang |
| author_facet | Wei Guo Jinfu Yang Jiafeng Zhang |
| author_sort | Wei Guo |
| collection | DOAJ |
| description | In this paper, we study a class of p(x)-biharmonic problems with negative nonlocal terms and weight function. Using the mountain pass theorem and the Ekeland's variational principle, at least three solutions are obtained. We also give some comments on the existence of infinite many solutions for our problem when the nonlinear term is a general function. |
| first_indexed | 2024-12-24T00:43:51Z |
| format | Article |
| id | doaj.art-eef2dd34501644f88eddf79074604e46 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-24T00:43:51Z |
| publishDate | 2022-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-eef2dd34501644f88eddf79074604e462022-12-21T17:23:53ZengAIMS PressAIMS Mathematics2473-69882022-02-01758491850910.3934/math.2022473Existence results of nontrivial solutions for a new p(x)-biharmonic problem with weight functionWei Guo0Jinfu Yang1Jiafeng Zhang2School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, ChinaSchool of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, ChinaSchool of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, ChinaIn this paper, we study a class of p(x)-biharmonic problems with negative nonlocal terms and weight function. Using the mountain pass theorem and the Ekeland's variational principle, at least three solutions are obtained. We also give some comments on the existence of infinite many solutions for our problem when the nonlinear term is a general function.https://www.aimspress.com/article/doi/10.3934/math.2022473?viewType=HTMLnontrivial solutionsp(x)-biharmonic problemmountain pass theoremekeland's variational principlevariable exponent |
| spellingShingle | Wei Guo Jinfu Yang Jiafeng Zhang Existence results of nontrivial solutions for a new p(x)-biharmonic problem with weight function AIMS Mathematics nontrivial solutions p(x)-biharmonic problem mountain pass theorem ekeland's variational principle variable exponent |
| title | Existence results of nontrivial solutions for a new p(x)-biharmonic problem with weight function |
| title_full | Existence results of nontrivial solutions for a new p(x)-biharmonic problem with weight function |
| title_fullStr | Existence results of nontrivial solutions for a new p(x)-biharmonic problem with weight function |
| title_full_unstemmed | Existence results of nontrivial solutions for a new p(x)-biharmonic problem with weight function |
| title_short | Existence results of nontrivial solutions for a new p(x)-biharmonic problem with weight function |
| title_sort | existence results of nontrivial solutions for a new p x biharmonic problem with weight function |
| topic | nontrivial solutions p(x)-biharmonic problem mountain pass theorem ekeland's variational principle variable exponent |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022473?viewType=HTML |
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