Results 11 to 20 of about 2,375,016 (321)
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 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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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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Recent rigidity results for graphs with prescribed mean curvature
Mathematics in Engineering, 2021 This survey describes some recent rigidity results obtained by the authors for the prescribed mean curvature problem on graphs u : M → R. Emphasis is put on minimal, CMC and capillary graphs, as well as on graphical solitons for the mean curvature flow ...
Bruno Bianchini +5 more
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On Almost Entire Solutions Of The Burgers Equation
Electronic Journal of Differential Equations, 2016 Solutions that satisfy classically the Burgers equation except, perhaps, on a closed set S of the plane of potential singularities whose Hausdorff 1-measure is zero, $H^1(S) = 0$, are necessarily identically constant. We show this under the additional hypothesis that $S$ is a subset of a countable union of ordered graphs.
Nicholas D. Alikakos, Dimitrios Gazoulis
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Saddle-shaped positive solutions for elliptic systems with bistable nonlinearity
Mathematics in Engineering, 2020 In this paper we prove the existence of infinitely many saddle-shaped positive solutions for non-cooperative nonlinear elliptic systems with bistable nonlinearities in the phase-separation regime.
Nicola Soave
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Entire solutions to the Monge–Ampère equation
Journal of Mathematical Analysis and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bel Kenani Toukabri, Lamia +1 more
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Entire solutions of two certain types of quadratic trinomial q-difference differential equations
AIMS Mathematics, 2023 The main purpose of this paper is to find the explicit forms for entire solutions of two certain types of Fermat-type q-difference differential equations.
Zhenguang Gao, Lingyun Gao , Manli Liu
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