Results 121 to 130 of about 1,718 (227)
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”.
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A Mean Value Formula and a Liouville Theorem for the Complex Monge–Ampère Equation
, 2018 In this paper, we prove a mean value formula for bounded subharmonic Hermitian matrix valued function on a complete Riemannian manifold with nonnegative Ricci curvature.
Jiayu Li, Xi Zhang, Chao Li
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The Liouville theorem on H-type groups
In this paper we obtain a Liouville type theorem to the semilinear subcritical elliptic equation on H-type groups. The semilinear subcritical elliptic equation studied in this paper is a generalization of a classical semilinear subcritical elliptic equation on the Heisenberg group.
Li, Chuanyang +2 more
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A general Liouville-type theorem for the 3D steady-state Magnetic-Bénard system
We establish a Liouville-type theorem for the elliptic and incompressible Magnetic-Bénard system defined over the entire three-dimensional space. Specifically, we demonstrate the uniqueness of trivial solutions under the condition that they belong to ...
Jarrin, Oscar
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On nonnegative entire solutions of second-order semilinear elliptic systems
Electronic Journal of Differential Equations, 2003 We consider the second-order semilinear elliptic system $$ Delta u_i=P_i(x)u_{i+1}^{alpha_i}quadhbox{in }mathbb{R}^N, quad i=1,2,dots,m $$ with nonnegative continuous functions $P_i$.
Tomomitsu Teramoto
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Second-order
Advances in Difference Equations, 2006 We discuss conditions for the existence of at least one positive solution to a nonlinear second-order Sturm-Liouville-type multipoint eigenvalue problem on time scales.
Ma Ruyun, Anderson Douglas R
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$$L^p_{loc}$$ Positivity Preservation and Liouville-Type Theorems
The Journal of Geometric AnalysisAbstractOn 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
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A Liouville Theorem for Nonlocal Equations in the Heisenberg Group
, 2014 We establish a Liouville-type theorem for a subcritical nonlinear problem, involving a fractional power of the sub-Laplacian in the Heisenberg group. To prove our result we will use the local realization of fractional CR covariant operators, which can be
Cinti, Eleonora, Eleonora Cinti
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Existence of Positive Solutions for a Class of
Advances in Difference Equations, 2008 This paper investigates the existence of positive solutions for a class of second-order singular -point Sturm-Liouville-type boundary value problems by using fixed point theorem in cones.
Zhang Xuemei, Ge Weigao
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, 2009 We consider nonnegative (continuous) weak solutions of the porous medium equation with source ut−Δum=up, with p>m>1. We address the question of existence of nontrivial entire solutions, that is, solutions defined for all x∈Rn and t∈R.
Philippe Souplet, Souplet, Philippe
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