Ground state solutions for a class of Schrödinger–Poisson–Slater equation with Coulomb–Sobolev critical exponent
Abstract This paper is concerned with the Schrödinger–Poisson–Slater equation involving the Coulomb–Sobolev exponent. We apply the concentration compactness principle and the Pohožaev-type identity to overcome loss of compactness caused by the Coulomb exponent and obtain a ground state solution, whi...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Boundary Value Problems |
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| Online Access: | https://doi.org/10.1186/s13661-025-01995-y |
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| _version_ | 1832594549163163648 |
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| author | Jingai Du Pengfei He Hongmin Suo |
| author_facet | Jingai Du Pengfei He Hongmin Suo |
| author_sort | Jingai Du |
| collection | DOAJ |
| description | Abstract This paper is concerned with the Schrödinger–Poisson–Slater equation involving the Coulomb–Sobolev exponent. We apply the concentration compactness principle and the Pohožaev-type identity to overcome loss of compactness caused by the Coulomb exponent and obtain a ground state solution, which generalizes and improves some recent results in the literature. |
| format | Article |
| id | doaj-art-5ea373ba4d4b421da6802167ffbe48d5 |
| institution | Kabale University |
| issn | 1687-2770 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj-art-5ea373ba4d4b421da6802167ffbe48d52025-01-19T12:33:18ZengSpringerOpenBoundary Value Problems1687-27702025-01-012025112210.1186/s13661-025-01995-yGround state solutions for a class of Schrödinger–Poisson–Slater equation with Coulomb–Sobolev critical exponentJingai Du0Pengfei He1Hongmin Suo2School of Mathematical Sciences, Guizhou Normal UniversitySchool of Mathematics and Statistics, Guizhou University of Finance and EconomicsSchool of Data Science and Information Engineering, Guizhou Minzu UniversityAbstract This paper is concerned with the Schrödinger–Poisson–Slater equation involving the Coulomb–Sobolev exponent. We apply the concentration compactness principle and the Pohožaev-type identity to overcome loss of compactness caused by the Coulomb exponent and obtain a ground state solution, which generalizes and improves some recent results in the literature.https://doi.org/10.1186/s13661-025-01995-ySchrödinger–Poisson–Slater equationCoulomb–Sobolev inequalityCritical exponentGround state solution |
| spellingShingle | Jingai Du Pengfei He Hongmin Suo Ground state solutions for a class of Schrödinger–Poisson–Slater equation with Coulomb–Sobolev critical exponent Boundary Value Problems Schrödinger–Poisson–Slater equation Coulomb–Sobolev inequality Critical exponent Ground state solution |
| title | Ground state solutions for a class of Schrödinger–Poisson–Slater equation with Coulomb–Sobolev critical exponent |
| title_full | Ground state solutions for a class of Schrödinger–Poisson–Slater equation with Coulomb–Sobolev critical exponent |
| title_fullStr | Ground state solutions for a class of Schrödinger–Poisson–Slater equation with Coulomb–Sobolev critical exponent |
| title_full_unstemmed | Ground state solutions for a class of Schrödinger–Poisson–Slater equation with Coulomb–Sobolev critical exponent |
| title_short | Ground state solutions for a class of Schrödinger–Poisson–Slater equation with Coulomb–Sobolev critical exponent |
| title_sort | ground state solutions for a class of schrodinger poisson slater equation with coulomb sobolev critical exponent |
| topic | Schrödinger–Poisson–Slater equation Coulomb–Sobolev inequality Critical exponent Ground state solution |
| url | https://doi.org/10.1186/s13661-025-01995-y |
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