On Determining the Growth of Meromorphic Solutions of Algebraic Differential Equations Having Arbitrary Entire Coefficients [PDF]
, 1973 Steven B. Bank
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On the Growth of Solutions of Algebraic Differential Equations Whose Coefficients are Arbitrary Entire Functions [PDF]
, 1970 Steven B. Bank
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Entire solutions for a nonlinear differential equation
Electronic Journal of Differential Equations, 2011 In this article, we study the existence of solutions to the differential equation $$ f^n(z)+P(f)= P_1e^{h_1}+ P_2e^{h_2}, $$ where $ngeq 2$ is an positive integer, f is a transcendental entire function, $P(f)$ is a differential polynomial in f of ...
Jianming Qi, Jie Ding, Taiying Zhu
doaj
Linearized theory for entire solutions of a singular Liouvillle equation [PDF]
arXiv, 2010 We discuss invertibility properties for entire finite-energy solutions of the regularized version of a singular Liouvillle equation.
arxiv
On the growth of meromorphic solutions of linear differential equations having arbitrary entire coefficients [PDF]
, 1975 Steven B. Bank
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Almost entire solutions of the Burgers equation
Electronic Journal of Differential Equations, 2018 We consider Burgers equation on the whole x-t plane. We require the solution to be classical everywhere, except possibly over a closed set S of potential singularities, which is (a) a subset of a countable union of ordered graphs of differentiable
Nicholas D. Alikakos, Dimitrios Gazoulis
doaj
Rigidity of complete entire self-shrinking solutions to Kahler-Ricci flow [PDF]
arXiv, 2013 We show that every complete entire self-shrinking solution on complex Euclidean space to the Kahler-Ricci flow must be generated from a quadratic potential.
arxiv
Rigidity of entire self-shrinking solutions to Kähler-Ricci flow on complex plane [PDF]
arXiv, 2016 We show that every entire self-shrinking solution on $\mathbb{C}^1$ to the K\"ahler-Ricci flow must be generated from a quadratic potential.
arxiv
Entire solutions of the differential equation Δ;u = f(u) [PDF]
, 1981 Wolfgang Walter
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Entire solutions to equations of minimal surface type in six dimensions [PDF]
arXiv, 2019 We construct nonlinear entire solutions in $\mathbb{R}^6$ to equations of minimal surface type that correspond to parametric elliptic functionals.
arxiv