Normalized solutions of quasilinear Schrödinger equation with Sobolev critical exponent on star-shaped bounded domains
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915496552562688 |
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| author | Yan, Ru |
| author_facet | Yan, Ru |
| contents | In this paper, we consider a quasilinear Schrödinger equation with critical exponent on bounded domains. Via a dual approach, we establish the existence of two positive normalized solutions: one is a ground state and the other is a mountain pass solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12707 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Normalized solutions of quasilinear Schrödinger equation with Sobolev critical exponent on star-shaped bounded domains Yan, Ru Analysis of PDEs In this paper, we consider a quasilinear Schrödinger equation with critical exponent on bounded domains. Via a dual approach, we establish the existence of two positive normalized solutions: one is a ground state and the other is a mountain pass solution. |
| title | Normalized solutions of quasilinear Schrödinger equation with Sobolev critical exponent on star-shaped bounded domains |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2509.12707 |