Boundary Blow-up Solutions of Second Order Quasilinear Equation on Infinite Cylinders
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917879686889472 |
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| author | Chowdhury, Indranil Dattatreya, N. N. |
| author_facet | Chowdhury, Indranil Dattatreya, N. N. |
| contents | This article studies large solutions, for a class of quasi-linear equations involving p-Laplacian on the infinite cylindrical domains. We study the wellposedness of weak large solutions on infinite cylinders by the convergence of large solutions on finite cylinders and observe that any such solution coincides with the large solution on its cross-section. Finally, the results are generalized to a class of operators involving non-linearity in the gradient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18968 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundary Blow-up Solutions of Second Order Quasilinear Equation on Infinite Cylinders Chowdhury, Indranil Dattatreya, N. N. Analysis of PDEs 35B44, 35A01, 35J92, 35J62, 35J25 This article studies large solutions, for a class of quasi-linear equations involving p-Laplacian on the infinite cylindrical domains. We study the wellposedness of weak large solutions on infinite cylinders by the convergence of large solutions on finite cylinders and observe that any such solution coincides with the large solution on its cross-section. Finally, the results are generalized to a class of operators involving non-linearity in the gradient. |
| title | Boundary Blow-up Solutions of Second Order Quasilinear Equation on Infinite Cylinders |
| topic | Analysis of PDEs 35B44, 35A01, 35J92, 35J62, 35J25 |
| url | https://arxiv.org/abs/2412.18968 |