Results 101 to 110 of about 37,895 (200)

Liouville type theorems for generalized P-harmonic maps

Arabian Journal of Mathematics
AbstractSome theorems of Liouville type are given for such P-harmonic maps when target manifold have conformal vector field or convex function or have non-positive sectional curvature.
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Positive Solution to Nonzero Boundary Values Problem for a Coupled System of Nonlinear Fractional Differential Equations

International Journal of Differential Equations, 2010
We consider the existence and uniqueness of positive solution to nonzero boundary values problem for a coupled system of fractional differential equations. The differential operator is taken in the standard Riemann-Liouville sense.
Jinhua Wang, Hongjun Xiang, Zhigang Liu
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Liouville type theorems involving fractional order systems

Advanced Nonlinear Studies
Abstract In this paper, let α be any real number between 0 and 2, we study the following semi-linear elliptic system involving the fractional Laplacian:
Liao, Qiuping, Liu, Zhao, Wang, Xinyue
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An application of a global bifurcation theorem to the existence of solutions for integral inclusions

Electronic Journal of Differential Equations, 2008
We prove the existence of solutions to Hammerstein integral inclusions of weakly completely continuous type. As a consequence we obtain an existence theorem for differential inclusions, with Sturm-Liouville boundary conditions, $$displaylines{ u''
Stanislaw Domachowski
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Liouville-Type Theorems for Some Integral Systems

Applied Mathematics, 2010
In this paper, Liouville-type theorems of nonnegative solutions for some elliptic integral systems are considered. We use a new type of moving plane method introduced by Chen-Li-Ou. Our new ingredient is the use of Stein-Weiss inequality instead of Maximum Principle.
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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”.
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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 n-point eigenvalue problems on time scales

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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Existence of Positive Solutions for a Class of -Point Boundary Value Problems

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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A Liouville type theorem for \(p\)-harmonic maps

, 1998
The author proves a Liouville type theorem for \(p\)-harmonic maps. Namely, considering the Riemannian manifolds \((M,g)\) and \((N,h)\), where \(M\) is complete, noncompact and has nonnegative Ricci curvature and \(N\) has nonpositive sectional curvature, a \(p\)-harmonic map \(u: M\to N\) of \(C^1_{\text{loc}}\)-class is shown to be constant if its ...
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