Nonnegative nontrivial solutions for a class of p ( x ) $p(x)$ -Kirchhoff equation involving concave-convex nonlinearities
Abstract In this paper, we study the existence of a class of p ( x ) $p(x)$ -Kirchhoff equation involving concave-convex nonlinearities. The main tools used are the perturbation technique, variational method, and a priori estimation.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-04-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-023-01719-0 |
| _version_ | 1827970355526893568 |
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| author | Changmu Chu Zhongju He |
| author_facet | Changmu Chu Zhongju He |
| author_sort | Changmu Chu |
| collection | DOAJ |
| description | Abstract In this paper, we study the existence of a class of p ( x ) $p(x)$ -Kirchhoff equation involving concave-convex nonlinearities. The main tools used are the perturbation technique, variational method, and a priori estimation. |
| first_indexed | 2024-04-09T18:52:35Z |
| format | Article |
| id | doaj.art-3baa3e1f1299458d8da7eaa601f34914 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-04-09T18:52:35Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-3baa3e1f1299458d8da7eaa601f349142023-04-09T11:22:49ZengSpringerOpenBoundary Value Problems1687-27702023-04-012023111810.1186/s13661-023-01719-0Nonnegative nontrivial solutions for a class of p ( x ) $p(x)$ -Kirchhoff equation involving concave-convex nonlinearitiesChangmu Chu0Zhongju He1School of Data Science and Information Engineering, Guizhou Minzu UniversitySchool of Data Science and Information Engineering, Guizhou Minzu UniversityAbstract In this paper, we study the existence of a class of p ( x ) $p(x)$ -Kirchhoff equation involving concave-convex nonlinearities. The main tools used are the perturbation technique, variational method, and a priori estimation.https://doi.org/10.1186/s13661-023-01719-0p ( x ) $p(x)$ -Kirchhoff problemDegenerate elliptic equationConcave-convex nonlinearitiesPerturbation techniqueVariational methods |
| spellingShingle | Changmu Chu Zhongju He Nonnegative nontrivial solutions for a class of p ( x ) $p(x)$ -Kirchhoff equation involving concave-convex nonlinearities Boundary Value Problems p ( x ) $p(x)$ -Kirchhoff problem Degenerate elliptic equation Concave-convex nonlinearities Perturbation technique Variational methods |
| title | Nonnegative nontrivial solutions for a class of p ( x ) $p(x)$ -Kirchhoff equation involving concave-convex nonlinearities |
| title_full | Nonnegative nontrivial solutions for a class of p ( x ) $p(x)$ -Kirchhoff equation involving concave-convex nonlinearities |
| title_fullStr | Nonnegative nontrivial solutions for a class of p ( x ) $p(x)$ -Kirchhoff equation involving concave-convex nonlinearities |
| title_full_unstemmed | Nonnegative nontrivial solutions for a class of p ( x ) $p(x)$ -Kirchhoff equation involving concave-convex nonlinearities |
| title_short | Nonnegative nontrivial solutions for a class of p ( x ) $p(x)$ -Kirchhoff equation involving concave-convex nonlinearities |
| title_sort | nonnegative nontrivial solutions for a class of p x p x kirchhoff equation involving concave convex nonlinearities |
| topic | p ( x ) $p(x)$ -Kirchhoff problem Degenerate elliptic equation Concave-convex nonlinearities Perturbation technique Variational methods |
| url | https://doi.org/10.1186/s13661-023-01719-0 |
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