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Existence and forms of entire solutions to system of non-linear partial differential equations

Electronic Journal of Differential Equations
Abhijit Banerjee, Jhuma Sarkar
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Entire solutions of the KPP equation

Communications on Pure and Applied Mathematics, 1999
The paper deals with the solutions defined for all time of the KPP equation \[ u_t=u_{xx}+f(u ...
François Hamel, Nikolai Nadirashvili
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Entire solutions of the Monge‐Ampère equation

Communications on Pure and Applied Mathematics, 1996
It is shown that the Monge-Ampère equation \(\text{det } D^2 u= f\), where \(f\) is pinched between two positive constants, has infinitely many genuinely distinct solutions in the whole Euclidean space.
Kai-Seng Chou, Xu-Jia Wang
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Entire solutions of integrodifference equations

Journal of Difference Equations and Applications, 2019
This paper is concerned with the existence of nontrivial entire solutions of integrodifference equations.
Shuxia Pan, Li Zhang, Li Zhang
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On entire and meromorphic solutions of

Complex Variables, Theory and Application: An International Journal, 2004
We describe the entire and meromorphic solutions of partial differential equations of the form where k, m>1, λ in ...
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Entire Solutions of Discrete Elliptic Equations

Southeast Asian Bulletin of Mathematics, 2003
By means of monotone methods, comparison theorems for the existence and uniqueness of solutions of discrete elliptic type partial difference equations are derived. The results permit to find positive and bounded solutions to several specific equations.
S. S. Cheng, C. V. Pao
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Entire solutions of differential equations with finite order transcendental entire coefficients

Acta Mathematica Sinica, 1997
The authors consider the nonhomogeneous linear differential equation \(f^{(k)}+ A_{k-1}f^{(k-1)}+\cdots +A_0f=F\). Here, they use Nevanlinna's value distribution theory to investigate the complex oscillation of this system when the coefficients and the nonhomogeneous function \(F\) are transcendental entire functions of finite order, such that there ...
Chen Zongxuan, Gao Shi-an
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