On Kirchhoff-type p(.)-Laplacian problems withsandwich-type and arbitrary growth
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918439477575680 |
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| author | Ho, Ky |
| author_facet | Ho, Ky |
| contents | We establish the existence of a positive bounded weak solution for a class of Kirchhoff-type $p(\cdot)$-Laplacian problems involving an arbitrary growth and a sandwich-type growth $s(\cdot)\in (\inf p,\sup p)$. This setting leads to substantial analytical difficulties in the variational analysis of the associated energy functional. By combining truncation arguments with a priori estimates, we prove the existence result under suitable assumptions on the data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09929 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Kirchhoff-type p(.)-Laplacian problems withsandwich-type and arbitrary growth Ho, Ky Analysis of PDEs 35B33, 35B45, 35J20, 35J62, 46E35 We establish the existence of a positive bounded weak solution for a class of Kirchhoff-type $p(\cdot)$-Laplacian problems involving an arbitrary growth and a sandwich-type growth $s(\cdot)\in (\inf p,\sup p)$. This setting leads to substantial analytical difficulties in the variational analysis of the associated energy functional. By combining truncation arguments with a priori estimates, we prove the existence result under suitable assumptions on the data. |
| title | On Kirchhoff-type p(.)-Laplacian problems withsandwich-type and arbitrary growth |
| topic | Analysis of PDEs 35B33, 35B45, 35J20, 35J62, 46E35 |
| url | https://arxiv.org/abs/2604.09929 |