Results 71 to 80 of about 14,112 (178)

Liouville-type theorems for generalized Hénon-Lane-Emden Schrödinger systems in $R^2$ and $R^3$

, 2022
In the paper we study the Liouville-type theorems for generalized Hénon-Lane-Emden elliptic system in $\mathbb{R}^N$. By the methods of spherical averages, Rellich-Pohozaev type identities, Sobolev inequalities on $S^{N-1}$, feedback and measure ...

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A stochastic approach to a priori estimates and Liouville theorems for harmonic maps

, 2020
Nonlinear versions of Bismut type formulas for the differential of a harmonic map between Riemannian manifolds are used to establish a priori estimates for harmonic maps.
F.-Y, A Thalmaier
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A family of the Cauchy type mean-value theorems

, 2005
The Cauchy type mean-value theorems for the Riemann–Liouville fractional derivative are deduced here from known mean-value theorems of the Lagrange type. A general method for deducing these Cauchy type formulas is extracted.
Perić, Ivan, Pečarić, Josip E., Srivastava, H.M.   +2 more
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Groupe I : Mathématiques Liouville type theorems and applications par Christophe Troestler Rapports des commissaires

, 1997
Mawhin Jean, Van Moerbeke Pierre, Cohen Michel. Groupe I : Mathématiques Liouville type theorems and applications par Christophe Troestler Rapports des commissaires . In: Bulletin de la Classe des sciences, tome 8, n°7-12, 1997. pp.
Cohen, Michel, Mawhin, Jean, Van Moerbeke, Pierre   +2 more
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A Note on Parabolic Liouville Theorems and Blow-Up Rates for a Higher-Order Semilinear Parabolic System [PDF]

, 2008
and extend the exponent range in Liouville-type theorems for some parabolic systems of inequalities with the time variable on R. As an immediate application of the parabolic Liouville-type theorems, the range of the exponent in blow-up rates for the ...
Ruixiang Xing, Hongjing Pan, Guocai Cai
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Gradient estimates for ut=ΔF(u) on manifolds and some Liouville-type theorems

, 2012
In this paper, we first prove a localized Hamilton-type gradient estimate for the positive solutions of Porous Media type equations:ut=ΔF(u), with F′(u)>0, on a complete Riemannian manifold with Ricci curvature bounded from below.
Xu, Xiangjin, Xiangjin Xu
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Integral inequalities and theorems of Liouville type

Journal of Mathematical Analysis and Applications, 1969
Throughout this paper x = (x1 ,... , x,) denotes a point of real Euclidean space En, r = / x [ is the distance to the origin, and F and P > 0 are continuous functions of r, 0 < r < co. We use dr and da for the volume and surface elements of integration respectively, while a, is the area of the surface of the unit n-ball in E”.
openaire   +1 more source

Liouville theorems for fully nonlinear elliptic equations on spherically symmetric Riemannian manifolds

, 2013
We prove Hadamard and Liouville type theorems for viscosity supersolutions to fully nonlinear elliptic equations on spherically symmetric complete noncompact Riemannian manifolds.
F. Punzo, PUNZO, FABIO
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Liouville type theorems for stationary Navier-Stokes equations with Lebesgue spaces of variable exponent

, 2023
In this article we study some Liouville-type theorems for the stationary 3D Navier-Stokes equations. These results are related to the uniqueness of weak solutions for this system under some additional information over the velocity field, which is usually
Chamorro, Diego, Vergara-Hermosilla, Gastón   +1 more
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$$L^p_{loc}$$ Positivity Preservation and Liouville-Type Theorems

The Journal of Geometric Analysis
AbstractOn a complete Riemannian manifold (M, g), we consider$$L^{p}_{loc}$$Llocpdistributional solutions of the differential inequality$$-\Delta u + \lambda u \ge 0$$-Δu+λu≥0with$$\lambda >0$$λ>0a locally bounded function that may decay to 0 at infinity.
Bisterzo, A, Farina, A, Pigola, S
openaire   +3 more sources