Results 231 to 240 of about 651,324 (288)

The Liouville theorems for 3D stationary tropical climate model

Mathematical methods in the applied sciences, 2021
In this paper, we will consider the Liouville theorems for the 3D stationary tropical climate model in whole space. In particular, we will prove that there is only the trivial solution for the stationary tropical climate model under some integrable ...
Huiting Ding, Fan Wu
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Liouville’s Theorem for the Drifting Laplacian

Bulletin of the Malaysian Mathematical Sciences Society, 2022
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Fan Chen, Qihua Ruan, Weihua Wang
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Liouville theorems for fractional and higher-order Hénon–Hardy systems on ℝn

Complex Variables and Elliptic Equations, 2020
In this paper, we are concerned with the Hénon–Hardy type systems on : where , , or . We prove Liouville theorems (i.e. non-existence of nontrivial nonnegative solutions) for the above Hénon–Hardy systems. The arguments used in our proof is the method of
Shaolong Peng
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Nonlinear Liouville Theorems

, 2020
I. Birindelli
semanticscholar   +2 more sources

THE LIOUVILLE THEOREM

1998
Abstract This result has a long history. For diffeomorphisms of class C in ℝ Liouville established the result in 1850 [204] along the lines we discussed in the chapter on conformal geometry. The relaxation of the differentiability hypotheses and the local injectivity assumptions are significant steps since the aim is to describe the ...
Tadeusz Iwaniec, Gaven Martin
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A generalization of the Liouville–Arnol'd theorem

Mathematical Proceedings of the Cambridge Philosophical Society, 1995
AbstractWe show that the Liouville-Arnol'd theorem concerning knowledge of involutory first integrals for Hamiltonian systems is available for any system of second order ordinary differential equations. In establishing this result we also provide a new proof of the standard theorem in the setting of non-autonomous, regular Lagrangian mechanics on the ...
Prince, G. E., Byrnes, G. B., Sherring, J., Godfrey, S. E.   +3 more
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On Local Type I Singularities of the Navier–Stokes Equations and Liouville Theorems

Journal of Mathematical Fluid Mechanics, 2018
We prove that suitable weak solutions of the Navier–Stokes equations exhibit Type I singularities if and only if there exists a non-trivial mild bounded ancient solution satisfying a Type I decay condition.
D. Albritton, T. Barker
semanticscholar   +1 more source

Liouville’s Theorem

2014
A complex number α is said to be an algebraic number if there is a non-zero polynomial \(f(x) \in \mathbb{Q}[x]\) such that f(α) = 0. Given an algebraic number α, there exists a unique irreducible monic polynomial \(P(x) \in \mathbb{Q}[x]\) such that P(α) = 0. This is called the minimal polynomial of α.
M. Ram Murty, Purusottam Rath
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On Liouville’s Theorem for Biharmonic Functions

SIAM Journal on Applied Mathematics, 1971
The following theorem, called Liouville's theorem, is well known. THEOREM 1. Any harmonic function bounded either above or below in all of n-space is constant. The reader is referred to the excellent book by Protter and Weinberger [1] for the proof of the above theorem.
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Liouville’s theorems for Lévy operators

Mathematische Annalen
45 pages; minor ...
Tomasz Grzywny, Mateusz Kwaśnicki
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