Results 11 to 20 of about 2,424,151 (268)
Entire solutions of quasilinear elliptic equations
Journal of Mathematical Analysis and Applications, 2009 The author studies the entire solutions of non-homogeneous quasilinear elliptic equations for which the following two may serve as typical examples: \[ \begin{aligned} \Delta_pu\equiv \text{div}(|Du|^{p-2}Du) &=f(u), \quad p>1,\;x\in\mathbb R^n, \tag{1}\\ \text{div}\left(\frac{Du}{\sqrt{1+|Du|^2}}\right) &=f(u), \quad x\in\mathbb R^n.
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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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Existence and nonexistence of entire solutions for non-cooperative cubic elliptic systems [PDF]
, 2010 In this paper we deal with the cubic Schr\"odinger system $ -\Delta u_i = \sum_{j=1}^n \beta_{ij}u_j^2 u_i$, $u_1,\dots,u_n \geq 0$ in $\mathbb{R}^N (N\leq 3)$, where $\beta=(\beta_{i,j})_{ij}$ is a symmetric matrix with real coefficients and $\beta_{ii}\
Tavares, Hugo +3 more
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Distributional and entire solutions of linear functional differential equations
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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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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Entire solutions of the euler—poisson equations [PDF]
Ukrainian Mathematical Journal, 2004 Summary: The author gives all entire solutions of the Euler-Poisson equations describing the motion of a rigid body under the action of its own weight.
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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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Entire invariant solutions to Monge-Ampère equations [PDF]
Proceedings of the American Mathematical Society, 2004 We prove existence and regularity of entire solutions to Monge-Ampère equations invariant under an irreducible action of a compact Lie group.
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