THE EXACT BLOW-UP RATE OF LARGE SOLUTIONS TO INFINITY-LAPLACIAN EQUATION

Ling Mi; Chuan Chen

doi:10.11948/20200043

2021 Volume 11 Issue 2

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Ling Mi, Chuan Chen. THE EXACT BLOW-UP RATE OF LARGE SOLUTIONS TO INFINITY-LAPLACIAN EQUATION[J]. Journal of Applied Analysis & Computation, 2021, 11(2): 858-873. doi: 10.11948/20200043

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Ling Mi, Chuan Chen. THE EXACT BLOW-UP RATE OF LARGE SOLUTIONS TO INFINITY-LAPLACIAN EQUATION[J]. Journal of Applied Analysis & Computation, 2021, 11(2): 858-873. doi: 10.11948/20200043

THE EXACT BLOW-UP RATE OF LARGE SOLUTIONS TO INFINITY-LAPLACIAN EQUATION

Ling Mi^1, ,,
Chuan Chen²

1.
School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan, Shandong, 250353, China
2.
School of Cyber Security, Qilu University of Technology (Shandong Academy of Sciences), Jinan, Shandong, 250353, China

Corresponding author: Email address: mi-ling@163.com(L. Mi)
Fund Project: This work was partially supported by NSF of China (No. 11771196)

Abstract

Abstract

Under new conditions on weight functions $ b(x) $, this paper mainly considers the exact boundary behavior of solutions to the following boundary blow-up elliptic problems $ \triangle_{\infty} u = b(x)f(u), \ x\in \Omega, \ u|_{\partial \Omega} = +\infty $ for more general nonlinearities $ f, $ where $ \Omega $ is a bounded domain with smooth boundary in $ \mathbb R^N $, and $ b \in C(\bar{ \Omega}) $ which is positive in $ \Omega $.
- Infnity-Laplacian equation /
- blow-up solutions /
- asymptotic behavior.
MSC: 35J60, 35J65

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References

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