BOUNDED AND BLOW-UP SOLUTIONS OF K-HESSIAN SYSTEM WITH AUGMENTED TERMS

Jiemei Li; Liyuan Wang

doi:10.11948/20230492

2024 Volume 14 Issue 6

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Article navigation > Journal of Applied Analysis & Computation > 2024 > 14(6): 3197-3213

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Jiemei Li, Liyuan Wang. BOUNDED AND BLOW-UP SOLUTIONS OF K-HESSIAN SYSTEM WITH AUGMENTED TERMS[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3197-3213. doi: 10.11948/20230492

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Jiemei Li, Liyuan Wang. BOUNDED AND BLOW-UP SOLUTIONS OF K-HESSIAN SYSTEM WITH AUGMENTED TERMS[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3197-3213. doi: 10.11948/20230492

BOUNDED AND BLOW-UP SOLUTIONS OF K-HESSIAN SYSTEM WITH AUGMENTED TERMS

Jiemei Li^1, ,,
Liyuan Wang^1,

1.
Department of Mathematics, Lanzhou Jiaotong University Lanzhou, Gansu 730070, China

Author Bio: Email: wly_lzjt@163.com(L. Wang)
Corresponding author: Email: lijiemei81@126.com(J. Li)
Fund Project: The authors were supported by National Natural Science Foundation of China (12071302, 11801243) and the key project of the Gansu Province Natural Science Foundation of China (23JRRA861)

Abstract

Abstract

The radial solutions of the k-Hessian system with augmented terms are considered. We not only prove the existence of entire bounded radial solutions, but also provide a necessary and sufficient condition for the existence of blow-up radial solutions under some suitable growth conditions of nonlinearity by using the monotone iterative method. Two concrete examples are presented to show an application of the main results.
- k-Hessian system /
- blow-up solutions /
- monotone iterative method
MSC: 37G05, 37G10, 34K18

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References

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