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Entire solutions of the Monge-Amp�re equation
Communications on Pure and Applied Mathematics, 1996It 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.
Chou, Kai-Seng, Wang, Xu-Jia
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Entire solutions of the KPP equation
Communications on Pure and Applied Mathematics, 1999The paper deals with the solutions defined for all time of the KPP equation \[ u_t=u_{xx}+f(u ...
Hamel, F., Nadirashvili, N.
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On entire and meromorphic solutions of
Complex Variables, Theory and Application: An International Journal, 2004We 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 integrodifference equations
Journal of Difference Equations and Applications, 2019This paper is concerned with the existence of nontrivial entire solutions of integrodifference equations.
Li Zhang, Shuxia Pan
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Weak entire solutions of reaction–interface systems
Discrete and Continuous Dynamical Systems - B, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Yan-Yu +2 more
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Entire Solutions of Some Differential–Difference Equations
Bulletin of the Iranian Mathematical Society, 2019This paper is a continuation of the paper by \textit{X. Qi} et al. [J. Contemp. Math. Anal., Armen. Acad. Sci. 52, No. 3, 128--133 (2017; Zbl 1372.30023)]. Here the authors prove some non-existence theorems on entire solutions with finite order of Fermat-type differential-difference equations using Nevanlinna theory.
Xiaoguang Qi, Lianzhong Yang
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LIMITING DIRECTIONS FOR ENTIRE SOLUTIONS OF A
Mathematical ReportsLet us consider f as being an entire solution of the differential-difference equation G(z, f)+h(z)fm(z) = 0, (m ∈ N), where h(z) is a transcendental entire function and G(z, f) is a differential-difference polynomial in f with entire coefficients.
YEZHOU LI,, ZHIXUE LIU, HEQING SUN
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On Entire Solutions of Some Differential-Difference Equations
Computational Methods and Function Theory, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Kai, Yang, Lianzhong
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ENTIRE SOLUTIONS OF A CURVATURE FLOW IN AN UNDULATING CYLINDER
Bulletin of the Australian Mathematical Society, 2018We consider a curvature flow $V=\unicode[STIX]{x1D705}+A$ in a two-dimensional undulating cylinder $\unicode[STIX]{x1D6FA}$ described by $\unicode[STIX]{x1D6FA}:=\{(x,y)\in \mathbb{R}^{2}\mid -g_{1}(y)<x<g_{2}(y),y\in \mathbb{R}\}$, where $V$ is the normal velocity of a moving curve contacting the boundaries of $\unicode[STIX]{x1D6FA ...
LIXIA YUAN, BENDONG LOU
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Entire solutions of a lattice vector disease model
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zunxian Li, Peixuan Weng, Jianxia Bai
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