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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-05-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-025-02060-4 |
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| Summary: | 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. |
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| ISSN: | 1687-2770 |