Results 1 to 10 of about 4,397,166 (245)
Entire solutions for a reaction–diffusion equation with doubly degenerate nonlinearity [PDF]
Advances in Difference Equations, 2018 This paper is concerned with the existence of entire solutions for a reaction–diffusion equation with doubly degenerate nonlinearity. Here the entire solutions are the classical solutions that exist for all (x,t)∈R2 $(x,t)\in \mathbb{R}^{2}$.
Rui Yan, Xiaocui Li
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Distributional and entire solutions of linear functional differential equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 1982 A unified approach to the study of generalized-function and entire solutions to linear functional differential equations with polynomial coefficients is suggested.
Joseph Wiener
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Entire solutions for some critical equations in the Heisenberg group [PDF]
Opuscula Mathematica, 2022 We complete the study started in the paper [P. Pucci, L.Temperini, On the concentration-compactness principle for Folland-Stein spaces and for fractional horizontal Sobolev spaces, Math. Eng. 5 (2023), Paper no.
Patrizia Pucci, Letizia Temperini
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Entire solutions for the heat equation
Electronic Journal of Differential Equations, 2021 We consider the solutions of the heat equation $$ \partial_t F = \partial_z^2 F $$ which are entire in z and t (caloric functions). We examine the relation of the z-order and z-type of an entire caloric function \(F(t, z)\), viewed as function of z, to ...
Vassilis G. Papanicolaou +2 more
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Existence and multiplicity results for quasilinear equations in the Heisenberg group [PDF]
Opuscula Mathematica, 2019 In this paper we complete the study started in [Existence of entire solutions for quasilinear equations in the Heisenberg group, Minimax Theory Appl. 4 (2019)] on entire solutions for a quasilinear equation \((\mathcal{E}_{\lambda})\) in \(\mathbb{H}^{n}
Patrizia Pucci
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Liouville Theorems for Fractional Parabolic Equations
Advanced Nonlinear Studies, 2021 In this paper, we establish several Liouville type theorems for entire solutions to fractional parabolic equations. We first obtain the key ingredients needed in the proof of Liouville theorems, such as narrow region principles and maximum principles for
Chen Wenxiong, Wu Leyun
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AN EXISTENCE RESULT FOR SYSTEMS THAT APPEAR IN [PDF]
Fiabilitate şi Durabilitate, 2012 Many of the engineering developments often occur as a result of the intersection betweenscientific communities with system of differential equations. They, although discussed in manypapers from the specialized literature, still are not completely solved.
Dragoş-Pătru COVEI
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New Insights on Keller–Osserman Conditions for Semilinear Systems
MathematicsIn this article, we consider a semilinear elliptic system involving gradient terms of the form Δyx+λ1∇yx=pxfyx,zxifx∈Ω,Δzx+λ2∇zx=qxgyxifx∈Ω, where λ1, λ2∈0,∞, Ω is either a ball of radius R>0 or the entire space RN.
Dragos-Patru Covei
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Demonstratio Mathematica, 2023 In this article, we investigate the existence and the precise form of finite-order transcendental entire solutions of some system of Fermat-type quadratic binomial and trinomial shift equations in Cn{{\mathbb{C}}}^{n}. Our results are the generalizations
Haldar Goutam, Banerjee Abhijit
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Positive Radially Symmetric Entire Solutions of p-k-Hessian Equations and Systems
Mathematics, 2022 In this paper, we discuss the existence of positive radially symmetric entire solutions of the p-k-Hessian equation σk1kλDi|Du|p−2Dju=α1k(|x|)f(u), and the general p-k-Hessian system σk1kλDi|Du|p−2Dju=α1k(|x|)f1(v)f2(u), σk1kλDi|Dv|p−2Djv=β1k(|x|)g1(u)g2(
Wei Fan, Limei Dai, Bo Wang
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