Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problems
Abstract In this paper, we are concerned with the Kirchhoff-type variable-order fractional Laplacian problems involving critical exponents and logarithmic nonlinearity. By using the constraint variational method, we show the existence of one least energy sign-changing solution. Moreover, we show tha...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-023-01816-0 |
| _version_ | 1797363062173335552 |
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| author | Jianwen Zhou Yueting Yang Wenbo Wang |
| author_facet | Jianwen Zhou Yueting Yang Wenbo Wang |
| author_sort | Jianwen Zhou |
| collection | DOAJ |
| description | Abstract In this paper, we are concerned with the Kirchhoff-type variable-order fractional Laplacian problems involving critical exponents and logarithmic nonlinearity. By using the constraint variational method, we show the existence of one least energy sign-changing solution. Moreover, we show that this energy is strictly larger than twice the ground energy. |
| first_indexed | 2024-03-08T16:15:23Z |
| format | Article |
| id | doaj.art-894e0c9b71ca47c993946830116350da |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-03-08T16:15:23Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-894e0c9b71ca47c993946830116350da2024-01-07T12:37:01ZengSpringerOpenBoundary Value Problems1687-27702024-01-012024111310.1186/s13661-023-01816-0Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problemsJianwen Zhou0Yueting Yang1Wenbo Wang2School of Mathematics and Statistics, Yunnan UniversitySchool of Mathematics and Statistics, Yunnan UniversitySchool of Mathematics and Statistics, Yunnan UniversityAbstract In this paper, we are concerned with the Kirchhoff-type variable-order fractional Laplacian problems involving critical exponents and logarithmic nonlinearity. By using the constraint variational method, we show the existence of one least energy sign-changing solution. Moreover, we show that this energy is strictly larger than twice the ground energy.https://doi.org/10.1186/s13661-023-01816-0Kirchhoff-type problemVariable-order fractional LaplacianSign-changing solution |
| spellingShingle | Jianwen Zhou Yueting Yang Wenbo Wang Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problems Boundary Value Problems Kirchhoff-type problem Variable-order fractional Laplacian Sign-changing solution |
| title | Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problems |
| title_full | Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problems |
| title_fullStr | Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problems |
| title_full_unstemmed | Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problems |
| title_short | Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problems |
| title_sort | sign changing solutions for kirchhoff type variable order fractional laplacian problems |
| topic | Kirchhoff-type problem Variable-order fractional Laplacian Sign-changing solution |
| url | https://doi.org/10.1186/s13661-023-01816-0 |
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