Ground state solutions of a class of (2,q)-Laplacian Schrödinger equations with inhomogeneous nonlinearity
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910977404960768 |
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| author | Huang, Ying Luo, Tingjian Wang, Youde |
| author_facet | Huang, Ying Luo, Tingjian Wang, Youde |
| contents | In this paper, we systematically investigate the ground state solutions of a class of (2,q)-Laplacian Schrödinger equations with inhomogeneous nonlinearity. By analyzing global and local constrained variational problems, we establish the existence, non-existence, and asymptotic behavior of ground states, addressing the mass-subcritical,mass-critical, and mass-supercritical regimes. As a byproduct, we prove a multiplicity of bound states with prescribed mass. Some of our existence results are sharp. The proofs are based primarily on constrained variational techniques. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_20758 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ground state solutions of a class of (2,q)-Laplacian Schrödinger equations with inhomogeneous nonlinearity Huang, Ying Luo, Tingjian Wang, Youde Analysis of PDEs In this paper, we systematically investigate the ground state solutions of a class of (2,q)-Laplacian Schrödinger equations with inhomogeneous nonlinearity. By analyzing global and local constrained variational problems, we establish the existence, non-existence, and asymptotic behavior of ground states, addressing the mass-subcritical,mass-critical, and mass-supercritical regimes. As a byproduct, we prove a multiplicity of bound states with prescribed mass. Some of our existence results are sharp. The proofs are based primarily on constrained variational techniques. |
| title | Ground state solutions of a class of (2,q)-Laplacian Schrödinger equations with inhomogeneous nonlinearity |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.20758 |