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Entire solutions originating from traveling fronts for a two-species competition-diffusion system
Nonlinearity, 2019This paper deals with entire solutions (classical solutions defined globally in time and space) of a two-species strong competition model. For this system, it is well known that there exist two-front entire solutions which behave as two traveling fronts ...
Jong-Shenq Guo, Chang-Hong Wu
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Bifurcation and regularity of entire solutions for the planar nonlinear Schrödinger–Poisson system
Mathematische Annalen, 2023Patrizia Pucci +2 more
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Trigonometric Identities and Entire Solutions of Non-linear Binomial Differential Equations
Mediterranean Journal of Mathematics, 2023Linkui Gao, Junyang Gao
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Entire solutions of quasilinear elliptic equations
Nonlinear Analysis: Theory, Methods & Applications, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gladkov, Alexander +1 more
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Entire solutions of eiconal type equations
Archiv der Mathematik, 2007The paper characterizes entire solutions to partial differential equations $$u_{z_{1}}^{2} + u_{z_{2}}^{2} = p$$ for polynomials p in $${\mathbb{C}}^2$$ .
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Existence of entire solutions of Monge–Ampère equations with prescribed asymptotic behavior
Calculus of Variations and Partial Differential Equations, 2018We prove the existence of entire solutions of the Monge–Ampère equations with prescribed asymptotic behavior at infinity of the plane, which was left unsolved by Caffarelli–Li in 2003.
J. Bao, Jingang Xiong, Ziwei Zhou
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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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