Ground state solutions for Hamiltonian systems with double exponential growth
Abstract This study explores the existence of ground state solutions for a Hamiltonian elliptic system in the whole plane R 2 $\mathbb{R}^{2}$ , involving double exponential growth nonlinearities, which are given by the Trudinger–Moser inequalities in weighted radial Sobolev spaces. To find solution...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-05-01
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| Series: | Boundary Value Problems |
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| Online Access: | https://doi.org/10.1186/s13661-025-02060-4 |
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| _version_ | 1849725122047377408 |
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| author | Yony Raúl Santaria Leuyacc |
| author_facet | Yony Raúl Santaria Leuyacc |
| author_sort | Yony Raúl Santaria Leuyacc |
| collection | DOAJ |
| description | Abstract This study explores the existence of ground state solutions for a Hamiltonian elliptic system in the whole plane R 2 $\mathbb{R}^{2}$ , involving double exponential growth nonlinearities, which are given by the Trudinger–Moser inequalities in weighted radial Sobolev spaces. To find solutions, we apply a minimizing process on a generalized Nehari manifold. |
| format | Article |
| id | doaj-art-7c317476f8a642d1a74d7cb8a6357f24 |
| institution | DOAJ |
| issn | 1687-2770 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj-art-7c317476f8a642d1a74d7cb8a6357f242025-08-20T03:10:32ZengSpringerOpenBoundary Value Problems1687-27702025-05-012025112210.1186/s13661-025-02060-4Ground state solutions for Hamiltonian systems with double exponential growthYony Raúl Santaria Leuyacc0Universidad Nacional Mayor de San MarcosAbstract This study explores the existence of ground state solutions for a Hamiltonian elliptic system in the whole plane R 2 $\mathbb{R}^{2}$ , involving double exponential growth nonlinearities, which are given by the Trudinger–Moser inequalities in weighted radial Sobolev spaces. To find solutions, we apply a minimizing process on a generalized Nehari manifold.https://doi.org/10.1186/s13661-025-02060-4Hamiltonian elliptic systemGround state solutionsDouble exponential growthGeneralized Nehari manifold |
| spellingShingle | Yony Raúl Santaria Leuyacc Ground state solutions for Hamiltonian systems with double exponential growth Boundary Value Problems Hamiltonian elliptic system Ground state solutions Double exponential growth Generalized Nehari manifold |
| title | Ground state solutions for Hamiltonian systems with double exponential growth |
| title_full | Ground state solutions for Hamiltonian systems with double exponential growth |
| title_fullStr | Ground state solutions for Hamiltonian systems with double exponential growth |
| title_full_unstemmed | Ground state solutions for Hamiltonian systems with double exponential growth |
| title_short | Ground state solutions for Hamiltonian systems with double exponential growth |
| title_sort | ground state solutions for hamiltonian systems with double exponential growth |
| topic | Hamiltonian elliptic system Ground state solutions Double exponential growth Generalized Nehari manifold |
| url | https://doi.org/10.1186/s13661-025-02060-4 |
| work_keys_str_mv | AT yonyraulsantarialeuyacc groundstatesolutionsforhamiltoniansystemswithdoubleexponentialgrowth |