Existence results to a Leray–Lions type problem on the Heisenberg Lie groups
Abstract Here, the existence and multiplicity of weak solutions to a generalized ( p ( ⋅ ) , q ( ⋅ ) ) $(p(\cdot ),q(\cdot ))$ -Laplace equation involving Leray–Lions type operators with Hardy potential are studied under Dirichlet boundary conditions on the Heisenberg groups.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-02-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-023-01704-7 |
| _version_ | 1797864040283766784 |
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| author | A. Razani F. Safari |
| author_facet | A. Razani F. Safari |
| author_sort | A. Razani |
| collection | DOAJ |
| description | Abstract Here, the existence and multiplicity of weak solutions to a generalized ( p ( ⋅ ) , q ( ⋅ ) ) $(p(\cdot ),q(\cdot ))$ -Laplace equation involving Leray–Lions type operators with Hardy potential are studied under Dirichlet boundary conditions on the Heisenberg groups. |
| first_indexed | 2024-04-09T22:45:14Z |
| format | Article |
| id | doaj.art-c2c6d423960c46cfa40cbfd32c89c0a1 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-04-09T22:45:14Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-c2c6d423960c46cfa40cbfd32c89c0a12023-03-22T11:54:21ZengSpringerOpenBoundary Value Problems1687-27702023-02-012023111610.1186/s13661-023-01704-7Existence results to a Leray–Lions type problem on the Heisenberg Lie groupsA. Razani0F. Safari1Department of Pure Mathematics, Faculty of Science, Imam Khomeini International UniversityDepartment of Pure Mathematics, Faculty of Science, Imam Khomeini International UniversityAbstract Here, the existence and multiplicity of weak solutions to a generalized ( p ( ⋅ ) , q ( ⋅ ) ) $(p(\cdot ),q(\cdot ))$ -Laplace equation involving Leray–Lions type operators with Hardy potential are studied under Dirichlet boundary conditions on the Heisenberg groups.https://doi.org/10.1186/s13661-023-01704-7Leray–Lions type operatorHeisenberg groupSingular term |
| spellingShingle | A. Razani F. Safari Existence results to a Leray–Lions type problem on the Heisenberg Lie groups Boundary Value Problems Leray–Lions type operator Heisenberg group Singular term |
| title | Existence results to a Leray–Lions type problem on the Heisenberg Lie groups |
| title_full | Existence results to a Leray–Lions type problem on the Heisenberg Lie groups |
| title_fullStr | Existence results to a Leray–Lions type problem on the Heisenberg Lie groups |
| title_full_unstemmed | Existence results to a Leray–Lions type problem on the Heisenberg Lie groups |
| title_short | Existence results to a Leray–Lions type problem on the Heisenberg Lie groups |
| title_sort | existence results to a leray lions type problem on the heisenberg lie groups |
| topic | Leray–Lions type operator Heisenberg group Singular term |
| url | https://doi.org/10.1186/s13661-023-01704-7 |
| work_keys_str_mv | AT arazani existenceresultstoaleraylionstypeproblemontheheisenbergliegroups AT fsafari existenceresultstoaleraylionstypeproblemontheheisenbergliegroups |