SOLVABILITY OF SOME RIEMANN-HILBERT PROBLEMS RELATED TO DIRAC OPERATOR WITH GRADIENT POTENTIAL IN $\mathbb{R}^3$

Longfei Gu; Yuanyuan Liu; Chen Yang

doi:10.11948/20230231

2024 Volume 14 Issue 2

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Longfei Gu, Yuanyuan Liu, Chen Yang. SOLVABILITY OF SOME RIEMANN-HILBERT PROBLEMS RELATED TO DIRAC OPERATOR WITH GRADIENT POTENTIAL IN $\mathbb{R}^3$[J]. Journal of Applied Analysis & Computation, 2024, 14(2): 976-985. doi: 10.11948/20230231

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Longfei Gu, Yuanyuan Liu, Chen Yang. SOLVABILITY OF SOME RIEMANN-HILBERT PROBLEMS RELATED TO DIRAC OPERATOR WITH GRADIENT POTENTIAL IN $\mathbb{R}^3$[J]. Journal of Applied Analysis & Computation, 2024, 14(2): 976-985. doi: 10.11948/20230231

SOLVABILITY OF SOME RIEMANN-HILBERT PROBLEMS RELATED TO DIRAC OPERATOR WITH GRADIENT POTENTIAL IN $\mathbb{R}^3$

1.
Department of Mathematics, Linyi University, Linyi, Shandong 276005, China
2.
Department of Mathematics, Qufu Normal University, Qufu, Shandong 273165, China

Author Bio: Email: gulongfei@lyu.edu.cn(L. Gu); Email: lyy@lyu.edu.cn(C. Yang)
Corresponding author: Email: liuyuanyuan-maths@lyu.edu.cn(Y. Liu)
Fund Project: The authors were supported by NSF of Shandong Province (No. ZR2021MA079 and No. ZR2022MA093), NSF of China (No. 12171221), Research Projects of China association of higher education (No. 22SX0410), China Postdoctoral Science Foundation (No. 2021M691851) and USIP of Linyi University (No. X202110452285)

Abstract

Abstract

Using quaternionic analysis and Schauder's fixed point theorem, we establish sufficient conditions for the existence of solutions for some nonlinear Riemann-Hilbert boundary value problems for Dirac operator with gradient potential.
- Quaternionic analysis /
- nonlinear Riemann-Hilbert problem /
- Dirac operator
MSC: 30G35

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References

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