Results 11 to 20 of about 10,711,362 (360)
Entire solutions of diffusive Lotka-Volterra system [PDF]
Journal of Differential Equations, 2020 This work is concerned with the existence of entire solutions of the diffusive Lotka-Volterra competition system \begin{equation}\label{eq:abstract} \begin{cases} u_{t}= u_{xx} + u(1-u-av), & \qquad \ x\in\mathbb{R} \cr v_{t}= d v_{xx}+ rv(1-v-bu), & \qquad \ x\in\mathbb{R} \end{cases} \quad (1) \end{equation} where $d,r,a$, and $b$ are ...
King-Yeung Lam +2 more
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Rigidity for general semiconvex entire solutions to the sigma-2 equation [PDF]
Duke mathematical journal, 2021 We show that every general semiconvex entire solution to the sigma-2 equation is a quadratic polynomial. A decade ago, this result was shown for almost convex solutions.
R. Shankar, Yu Yuan
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Entire solutions for critical $p$-fractional Hardy Schrödinger Kirchhoff equations
, 2017 Paolo Piersanti, Patrizia Pucci
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Asymptotic behavior of entire solutions to reaction-diffusion equations in an infinite star graph
Discrete and Continuous Dynamical Systems. Series A, 2021 We deal with the bistable reaction-diffusion equation in an infinite star graph, which consists of several half-lines with a common end point. The aim of our study is to show the existence of front-like entire solutions together with the asymptotic ...
S. Jimbo, Y. Morita
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Entire solutions for several general quadratic trinomial differential difference equations
Open Mathematics, 2021 This paper is devoted to exploring the existence and the forms of entire solutions of several quadratic trinomial differential difference equations with more general forms.
Jun Luo, H. Xu, Fen Hu
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, 2021 This paper is concerned with description of the existence and the forms of entire solutions of several second-order partial differential-difference equations with more general forms of Fermat type.
H. Xu, D. Meng, S. Liu, Hua Wang
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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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Entire solutions of hydrodynamical equations with exponential dissipation [PDF]
, 2009 We consider a modification of the three-dimensional Navier--Stokes equations and other hydrodynamical evolution equations with space-periodic initial conditions in which the usual Laplacian of the dissipation operator is replaced by an operator whose ...
A. Doelman +31 more
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Nagoya Mathematical Journal, 2005 The paper is concerned with description of entire solutions of the partial differential equations where m ≥ 2, n ≥ 2 are integers and g is a polynomial or an entire function in C2. Descriptions are given and complemented by various examples.
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Entire solutions of Donaldson’s equation [PDF]
Pacific Journal of Mathematics, 2012 A serious blunder was found in a previous version of the ...
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