Results 31 to 40 of about 1,101,646 (327)
AIMS Mathematics, 2022 In this paper, we investigate some systems of the Fermat type differential-difference equations with polynomial coefficients and obtain the condition for the existence of finite order transcendental entire solutions and the expression for the entire ...
Yeyang Jiang, Zhihua Liao , Di Qiu
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Singular quasilinear convective elliptic systems in ℝN
Advances in Nonlinear Analysis, 2022 The existence of a positive entire weak solution to a singular quasi-linear elliptic system with convection terms is established, chiefly through perturbation techniques, fixed point arguments, and a priori estimates.
Guarnotta Umberto +2 more
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Three Results on the Nonlinear Differential Equations and Differential-Difference Equations
Mathematics, 2019 We mainly study the transcendental entire solutions of the differential equation f n ( z ) + P ( f ) = p 1 e α 1 z + p 2 e α 2 z , where p 1 , p 2 , α 1 and α 2 are nonzero
Jianxun Rong, Junfeng Xu
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Some recent results on singular p-Laplacian equations
Demonstratio Mathematica, 2022 A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions.
Guarnotta Umberto +2 more
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Nondegeneracy of entire solutions of a singular Liouvillle equation [PDF]
Proceedings of the American Mathematical Society, 2011 We establish nondegeneracy of the explicit family of finite mass solutions of the Liouvillle equation with a singular source of integer multiplicity, in the sense that all bounded elements in the kernel of the linearization correspond to variations along the parameters of the family.
Pino Manresa, Manuel del +2 more
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Spatial dynamics for a model of epidermal wound healing
Mathematical Biosciences and Engineering, 2014 In this paper, we consider the spatial dynamics for a non-cooperative diffusion system arising from epidermal wound healing.We shall establish the spreading speed and existence of traveling waves and characterize the spreading speed as the slowest ...
Haiyan Wang, Shiliang Wu
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Open Mathematics, 2023 Our purpose in this article is to describe the solutions of several product-type nonlinear partial differential equations (PDEs) (a1u+b1uz1+c1uz2)(a2u+b2uz1+c2uz2)=1,\left({a}_{1}u+{b}_{1}{u}_{{z}_{1}}+{c}_{1}{u}_{{z}_{2}})\left({a}_{2}u+{b}_{2}{u}_{{z}_{
Xu Yi Hui +3 more
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Entire solutions of two certain Fermat-type ordinary differential equations
Open Mathematics, 2023 In this article, we investigate the precise expression forms of entire solutions for two certain Fermat-type ordinary differential equations: (a0f+a1f′)2+(a0f+a2f′)2=p{\left({a}_{0}f+{a}_{1}{f}^{^{\prime} })}^{2}+{\left({a}_{0}f+{a}_{2}{f}^{^{\prime} })}^
Hu Binbin, Yang Liu
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Entire solutions of quasilinear symmetric systems [PDF]
Indiana University Mathematics Journal, 2017 We study the following quasilinear elliptic system for all $i=1,\cdots,m$ \begin{equation*} \label{} -div( '(|\nabla u_i|^2) \nabla u_i) = H_i(u) \quad \text{in} \ \ \mathbb{R}^n \end{equation*} where $u=(u_i)_{i=1}^m: \mathbb R^n\to \mathbb R^m$ and the nonlinearity $ H_i(u) \in C^1(\mathbb R^m)\to \mathbb R$ is a general nonlinearity.
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On entire solutions of certain type of nonlinear differential equations
AIMS Mathematics, 2020 In this paper, we shall extend some results regarding the growth estimate of entire solutions of certain type of linear differential equations to that of nonlinear differential equations.
Fengrong Zhang +3 more
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