Infinite number of solutions for some elliptic eigenvalue problems of Kirchhoff-type with non-homogeneous material
Abstract In this paper, using variational method, we study the existence of an infinite number of solutions (some are positive, some are negative, and others are sign-changing) for a non-homogeneous elliptic Kirchhoff equation with a nonlinear reaction term.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-04-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-021-01522-9 |
| _version_ | 1818972150095151104 |
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| author | Baoqiang Yan Donal O’Regan Ravi P. Agarwal |
| author_facet | Baoqiang Yan Donal O’Regan Ravi P. Agarwal |
| author_sort | Baoqiang Yan |
| collection | DOAJ |
| description | Abstract In this paper, using variational method, we study the existence of an infinite number of solutions (some are positive, some are negative, and others are sign-changing) for a non-homogeneous elliptic Kirchhoff equation with a nonlinear reaction term. |
| first_indexed | 2024-12-20T15:03:41Z |
| format | Article |
| id | doaj.art-a90e7d83dd364933b57271b9c6493e04 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-20T15:03:41Z |
| publishDate | 2021-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-a90e7d83dd364933b57271b9c6493e042022-12-21T19:36:35ZengSpringerOpenBoundary Value Problems1687-27702021-04-012021111510.1186/s13661-021-01522-9Infinite number of solutions for some elliptic eigenvalue problems of Kirchhoff-type with non-homogeneous materialBaoqiang Yan0Donal O’Regan1Ravi P. Agarwal2School of Mathematics and Statistics, Shandong Normal UniversitySchool of Mathematics, Statistics and Applied Mathematics, National University of IrelandDepartment of Mathematics, Texas A and M University-KingsvilleAbstract In this paper, using variational method, we study the existence of an infinite number of solutions (some are positive, some are negative, and others are sign-changing) for a non-homogeneous elliptic Kirchhoff equation with a nonlinear reaction term.https://doi.org/10.1186/s13661-021-01522-9Kirchhoff equationsSign-changing solutionVariational method |
| spellingShingle | Baoqiang Yan Donal O’Regan Ravi P. Agarwal Infinite number of solutions for some elliptic eigenvalue problems of Kirchhoff-type with non-homogeneous material Boundary Value Problems Kirchhoff equations Sign-changing solution Variational method |
| title | Infinite number of solutions for some elliptic eigenvalue problems of Kirchhoff-type with non-homogeneous material |
| title_full | Infinite number of solutions for some elliptic eigenvalue problems of Kirchhoff-type with non-homogeneous material |
| title_fullStr | Infinite number of solutions for some elliptic eigenvalue problems of Kirchhoff-type with non-homogeneous material |
| title_full_unstemmed | Infinite number of solutions for some elliptic eigenvalue problems of Kirchhoff-type with non-homogeneous material |
| title_short | Infinite number of solutions for some elliptic eigenvalue problems of Kirchhoff-type with non-homogeneous material |
| title_sort | infinite number of solutions for some elliptic eigenvalue problems of kirchhoff type with non homogeneous material |
| topic | Kirchhoff equations Sign-changing solution Variational method |
| url | https://doi.org/10.1186/s13661-021-01522-9 |
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