Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian
This paper is devoted to investigating a class of nonhomogeneous Choquard equations with perturbation involving p-Laplacian. Under suitable hypotheses about the perturbation term, the existence of at least two nontrivial solutions for the given problems is obtained using Nehari manifold and minimax...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/7/9/871 |
| _version_ | 1818215016074051584 |
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| author | Xiaoyan Shi Yulin Zhao Haibo Chen |
| author_facet | Xiaoyan Shi Yulin Zhao Haibo Chen |
| author_sort | Xiaoyan Shi |
| collection | DOAJ |
| description | This paper is devoted to investigating a class of nonhomogeneous Choquard equations with perturbation involving p-Laplacian. Under suitable hypotheses about the perturbation term, the existence of at least two nontrivial solutions for the given problems is obtained using Nehari manifold and minimax methods. |
| first_indexed | 2024-12-12T06:29:22Z |
| format | Article |
| id | doaj.art-df38f6047da544888c1d50e6855c22ee |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-12T06:29:22Z |
| publishDate | 2019-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-df38f6047da544888c1d50e6855c22ee2022-12-22T00:34:40ZengMDPI AGMathematics2227-73902019-09-017987110.3390/math7090871math7090871Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-LaplacianXiaoyan Shi0Yulin Zhao1Haibo Chen2School of Science, Hunan University of Technology, Zhuzhou 412007, ChinaSchool of Science, Hunan University of Technology, Zhuzhou 412007, ChinaSchool of Mathematics and Statistics, Central South University, Changsha 410083, ChinaThis paper is devoted to investigating a class of nonhomogeneous Choquard equations with perturbation involving p-Laplacian. Under suitable hypotheses about the perturbation term, the existence of at least two nontrivial solutions for the given problems is obtained using Nehari manifold and minimax methods.https://www.mdpi.com/2227-7390/7/9/871p-Laplacianchoquard equationnonhomogeneousnehari methodminimax methods |
| spellingShingle | Xiaoyan Shi Yulin Zhao Haibo Chen Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian Mathematics p-Laplacian choquard equation nonhomogeneous nehari method minimax methods |
| title | Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian |
| title_full | Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian |
| title_fullStr | Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian |
| title_full_unstemmed | Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian |
| title_short | Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian |
| title_sort | existence of solutions for nonhomogeneous choquard equations involving p laplacian |
| topic | p-Laplacian choquard equation nonhomogeneous nehari method minimax methods |
| url | https://www.mdpi.com/2227-7390/7/9/871 |
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