Results 191 to 200 of about 1,718 (227)

A Liouville-type theorem for the stationary Navier–Stokes equations

Applied Mathematics Letters, 2023
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Youseung Cho, Jongkeun Choi, Minsuk Yang   +2 more
exaly   +3 more sources

New Liouville-type theorem for the stationary tropical climate model

Applied Mathematics Letters
We study the Liouville-type theorem for smooth solutions to the steady 3D tropical climate model. We prove the Liouville-type theorem if a smooth solution satisfies a certain growth condition in terms of $L^p$-norm on annuli, which improves the previous ...
Youseung Cho, Hyunjin In, Minsuk Yang
exaly   +2 more sources

A Theorem of Liouville Type for Harmonic Morphisms

Geometriae Dedicata, 2001
Let \(M\) be a complete noncompact Riemannian manifold with nonnegative Ricci curvature and \(N\) be a Riemannian manifold with nonpositive scalar curvature. Then every harmonic morphism \(M\to N\) of finite energy is constant. This theorem is related to the classical result of \textit{R. Schoen} and \textit{S.-T. Yau} [Comment. Math. Helv. 51, 333-341
Choi, Gundon, Yun, Gabjin
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Liouville Type Theorems for Fractional Parabolic Problems

Journal of Dynamics and Differential Equations, 2021
The authors establish Liouville-type theorems for fractional parabolic problems, presenting a compelling dual-purpose exploration. Their first objective is to establish optimal Liouville-type theorems, focusing on both nonnegative and positive supersolutions of fractional parabolic equations across the entire time-space continuum.
Anh Tuan Duong, Van Hoang Nguyen
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A Liouville type theorem for semilinear elliptic systems

Pacific Journal of Mathematics, 2002
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Teramoto, Tomomitsu, Usami, Hiroyuki
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A Liouville-type theorem for Lane-Emden system

Indiana University Mathematics Journal, 2002
The authors provide a partial positive answer to a well-known conjecture about the nonexistence of positive solutions to Lane-Emden systems below the critical Sobolev hyperbola. The proof is based on a monotonicity argument for suitable transformed functions.
Busca, Jérôme, Manásevich, Raul
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Phragmen-Liouville-type theorems and Liouville theorems for a linear parabolic equation

Mathematical Notes of the Academy of Sciences of the USSR, 1985
The author proves some results of Phragmén-Lindelöf type and some Liouville type theorems applying to a class of linear parabolic equations with measurable coefficients.
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Liouville type theorems for the system of integral equations

Applied Mathematics and Computation, 2010
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Liouville type theorems for Schrödinger systems

Science China Mathematics, 2014
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Zhuo, Ran, Li, FengQuan
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ON CERTAIN LIOUVILLE-TYPE THEOREMS OF NEHARI, GOYAL AND SCHAEFER

Analysis, 1986
Simple conditions on p and f are given which ensure that the only bounded solution of (sgn u)\(\Delta\) \(u\geq p(x)f(u)\) is \(u=0\). The result sharpens both theorems referred to in the title, and can be generalized with ease.
Redheffer, Ray, Schaefer, Phil
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