Ground state sign-changing solutions for Kirchhoff-type equations with logarithmic nonlinearity on locally finite graphs
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929209310445568 |
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| author | Ou, Xin Zhang, Xingyong |
| author_facet | Ou, Xin Zhang, Xingyong |
| contents | We obtain the existence results of ground state sign-changing solutions and ground state solutions for a class of Kirchhoff-type equations with logarithmic nonlinearity on a locally finite graph $G=(V,E)$, and obtain the sign-changing ground state energy is larger than twice of the ground state energy. The method we used is a direct non-Nehari manifold method in [X.H. Tang, B.T. Cheng. J. Differ. Equations. 261(2016), 2384-2402.] |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_10302 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Ground state sign-changing solutions for Kirchhoff-type equations with logarithmic nonlinearity on locally finite graphs Ou, Xin Zhang, Xingyong Analysis of PDEs We obtain the existence results of ground state sign-changing solutions and ground state solutions for a class of Kirchhoff-type equations with logarithmic nonlinearity on a locally finite graph $G=(V,E)$, and obtain the sign-changing ground state energy is larger than twice of the ground state energy. The method we used is a direct non-Nehari manifold method in [X.H. Tang, B.T. Cheng. J. Differ. Equations. 261(2016), 2384-2402.] |
| title | Ground state sign-changing solutions for Kirchhoff-type equations with logarithmic nonlinearity on locally finite graphs |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2306.10302 |