Double phase anisotropic variational problems involving critical growth
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929347246424064 |
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| author | Ho, Ky Kim, Yun-Ho Zhang, Chao |
| author_facet | Ho, Ky Kim, Yun-Ho Zhang, Chao |
| contents | In this paper, we investigate some existence results for double phase anisotropic variational problems involving critical growth. We first establish a Lions type concentration-compactness principle and its variant at infinity for the solution space, which are our independent interests. By employing these results, we obtain a nontrivial nonnegative solution to problems of generalized concave-convex type. We also obtain infinitely many solutions when the nonlinear term is symmetric. Our results are new even for the $p(\cdot)$-Laplace equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_13505 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Double phase anisotropic variational problems involving critical growth Ho, Ky Kim, Yun-Ho Zhang, Chao Analysis of PDEs In this paper, we investigate some existence results for double phase anisotropic variational problems involving critical growth. We first establish a Lions type concentration-compactness principle and its variant at infinity for the solution space, which are our independent interests. By employing these results, we obtain a nontrivial nonnegative solution to problems of generalized concave-convex type. We also obtain infinitely many solutions when the nonlinear term is symmetric. Our results are new even for the $p(\cdot)$-Laplace equations. |
| title | Double phase anisotropic variational problems involving critical growth |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2212.13505 |