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arXiv · 2412.18968

Boundary Blow-up Solutions of Second Order Quasilinear Equation on Infinite Cylinders

Indranil Chowdhury·N. N. Dattatreya
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Abstract

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.

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Indranil Chowdhury, N. N. Dattatreya. 2024-12-25. Boundary Blow-up Solutions of Second Order Quasilinear Equation on Infinite Cylinders. https://arxiv.org/abs/2412.18968

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