\(m\) components-admissible solutions of systems of higher-order partial differential equations on \(\mathbb C^n\)

DOI10.1007/s10255-005-5110-2zbMath1147.32023OpenAlexW2111267307MaRDI QIDQ942874

Ling-Yun Gao

Publication date: 8 September 2008

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-005-5110-2

zbMATH Keywords

meromorphic functionsystem of partial differential equationsseveral complex variables\(m\) components admissible solution

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Other partial differential equations of complex analysis in several variables (32W50)

Cites Work

• Estimates for the Nevanlinna characteristics of some classes of meromorphic functions and their applications to differential equations
• The lemma of the logarithmic derivative in several complex variables
• Some Malmquist-type theorems of partial differential equations on \(\mathbb{C}^ n\)
• On meromorphic solutions of some algebraic partial differential equations on \(C^n\)
• On Nevanlinna's second main theorem in projective space
• On the growth of components of meromorphic solutions of systems of complex differential equations
• Further results on factorization of meromorphic solutions of partial differential equations
• Malmquist type theorem and factorization of meromorphic solutions of partial differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item