Results 231 to 240 of about 629,413 (279)

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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A Liouville Theorem for Harmonic Maps

American Journal of Mathematics, 1995
The main result of the author is a Liouville type theorem for harmonic maps with domain \(M\), a complete Riemannian manifold of nonnegative Ricci curvature, and range \(N\), a simply-connected complete Riemannian manifold with sectional curvature bounded above by \(-a^2\), \(a>0\).
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Liouville theorem for X-elliptic operators

Nonlinear Analysis: Theory, Methods & Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
KOGOJ, ALESSIA ELISABETTA, Lanconelli, Ermanno   +1 more
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A Strong Version of Liouville's Theorem

The American Mathematical Monthly, 2008
1. THE MAIN RESULT. Liouville's theorem states that every bounded holomor phic function on C is constant. Let us recall that holomorphic functions / on open subsets U of the complex plane have the mean value property, that is, for every closed disk B(z,r) in U, the value of / at its center z is equal to the average of the values of f on the circle S(z ...
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Liouville theorem of the 3D stationary MHD system: for D-solutions converging to non-zero constant vectors

Nonlinear Differential Equations and Applications NoDEA, 2021
Zijin Li, Xinghong Pan
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Proof of the Levinson theorem by the Sturm–Liouville theorem

Journal of Mathematical Physics, 1985
The Levinson theorem is proved by the Sturm–Liouville theorem in this paper. For the potential ∫10r‖V(r)‖dr <∞,V(r)→b/r2 when r→∞, the modified Levinson theorem is derived as nl=(1/π)δl(0) +(a−l)/2− 1/2  sin2{δl(0)+[(a−l)/2]π}, if a(a+1)≡b+l(l+1)> 3/4 or a=0.
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A Liouville theorem on a manifold

Russian Mathematical Surveys, 1982
Translation from Usp. Mat. Nauk 37, No.3(225), 181-182 (Russian) (1982; Zbl 0509.53035).
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Liouville Theorem for 2D Navier-Stokes Equations in a Half Space

, 2013
A Liouville type theorem for mild bounded ancient solutions to the Navier-Stokes system in a half plane is proved, provided that a certain scale invariant quantity is bounded.
G. Seregin
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A Note on Liouville's Theorem

The American Mathematical Monthly, 1986
(1986). A Note on Liouville's Theorem. The American Mathematical Monthly: Vol. 93, No. 3, pp. 200-201.
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