Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev–Hardy critical exponent
Abstract In this paper, we discuss a class of Kirchhof-type elliptic boundary value problem with Sobolev–Hardy critical exponent and apply the variational method to obtain one positive solution and two nontrivial solutions to the problem under certain conditions.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-05-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-021-01521-w |
| _version_ | 1818600801144143872 |
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| author | Hongsen Fan Zhiying Deng |
| author_facet | Hongsen Fan Zhiying Deng |
| author_sort | Hongsen Fan |
| collection | DOAJ |
| description | Abstract In this paper, we discuss a class of Kirchhof-type elliptic boundary value problem with Sobolev–Hardy critical exponent and apply the variational method to obtain one positive solution and two nontrivial solutions to the problem under certain conditions. |
| first_indexed | 2024-12-16T12:41:15Z |
| format | Article |
| id | doaj.art-616e72cb8adc4d7d84313f020431b66d |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-16T12:41:15Z |
| publishDate | 2021-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-616e72cb8adc4d7d84313f020431b66d2022-12-21T22:31:25ZengSpringerOpenBoundary Value Problems1687-27702021-05-012021111110.1186/s13661-021-01521-wExistence and multiplicity of solutions for Kirchhof-type problems with Sobolev–Hardy critical exponentHongsen Fan0Zhiying Deng1School of Science, Chongqing University of Posts and TelecommunicationsSchool of Science, Chongqing University of Posts and TelecommunicationsAbstract In this paper, we discuss a class of Kirchhof-type elliptic boundary value problem with Sobolev–Hardy critical exponent and apply the variational method to obtain one positive solution and two nontrivial solutions to the problem under certain conditions.https://doi.org/10.1186/s13661-021-01521-wKirchhof-type equationPositive solutionSobolev–Hardy critical exponentMountain pass theorem |
| spellingShingle | Hongsen Fan Zhiying Deng Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev–Hardy critical exponent Boundary Value Problems Kirchhof-type equation Positive solution Sobolev–Hardy critical exponent Mountain pass theorem |
| title | Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev–Hardy critical exponent |
| title_full | Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev–Hardy critical exponent |
| title_fullStr | Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev–Hardy critical exponent |
| title_full_unstemmed | Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev–Hardy critical exponent |
| title_short | Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev–Hardy critical exponent |
| title_sort | existence and multiplicity of solutions for kirchhof type problems with sobolev hardy critical exponent |
| topic | Kirchhof-type equation Positive solution Sobolev–Hardy critical exponent Mountain pass theorem |
| url | https://doi.org/10.1186/s13661-021-01521-w |
| work_keys_str_mv | AT hongsenfan existenceandmultiplicityofsolutionsforkirchhoftypeproblemswithsobolevhardycriticalexponent AT zhiyingdeng existenceandmultiplicityofsolutionsforkirchhoftypeproblemswithsobolevhardycriticalexponent |