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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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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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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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Entire solutions of delayed reaction‐diffusion equations
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2011AbstractThis paper is concerned with entire solutions of delayed reaction‐diffusion equations. Using the comparing argument and sub‐super solutions method, we obtain the existence of entire solutions which behave as two wave fronts coming from the both sides of x‐axis, where an entire solution is meant by a classical solution defined for all space and ...
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ON EXPLICIT RADIAL ENTIRE AND NON-ENTIRE SOLUTIONS
Progress in Analysis, 2003PHILIP W. SCHAEFER, V. GOYAL
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