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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.11546 |
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Table of Contents:
- In this paper, we study the standing wave solutions of Klein--Gordon equation with logarithmic nonlinearity. The existence of the standing wave solution related to the ground state $ϕ_0(x)$ is obtained. Further, we prove the instability of solutions around $ϕ_0(x)$.