Results 191 to 200 of about 29,180 (228)

Advancements in Bullen-type inequalities via fractional integral operators and their applications. [PDF]

open access: yesHeliyon
Samraiz M   +5 more
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A Liouville-type theorem for the stationary Navier–Stokes equations

Applied Mathematics Letters, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Youseung Cho   +2 more
exaly   +3 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
openaire   +1 more source

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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Teramoto, Tomomitsu, Usami, Hiroyuki
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A Liouville type Theorem for an integral system

open access: yesCommunications on Pure and Applied Analysis, 2006
In this paper, we study a conjecture of J.Serrin and give a partial generalized result of the work of de Figueiredo and Felmer about Liouville type Theorem for non-negative solutions for an elliptic system. We use a new type of moving plane method introduced by Chen-Li-Ou. Our new ingredient is the use of Stein-Weiss inequality.
Dezhong Chen, Li Ma
exaly   +2 more sources

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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Liouville‐type theorems for a nonlinear fractional Choquard equation

Mathematische Nachrichten, 2023
AbstractIn this paper, we are concerned with the fractional Choquard equation on the whole space with , and . We first prove that the equation does not possess any positive solution for . When , we establish a Liouville type theorem saying that if then the equation has no positive stable solution.
Anh Tuan Duong   +3 more
openaire   +1 more source

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