| Abstract: |
| In the present work we are concerned with the Choquard Logarithmic equation involving a nonlinearity with exponential critical growth. We prove the existence of a nontrivial solution at the mountain pass level and a nontrivial ground state solution. Also, we provide these results under a symmetric setting, taking into account subgroups of O(2). We handle the lack of compactness
of the associated energy functional due to the unboundedness of the domain and the presence of a limiting case embedding. |
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