Results 101 to 110 of about 19,748 (189)

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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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, Zhang, Juan, Zhao, Peibiao   +2 more
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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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A Liouville type theorem for \(p\)-Laplace equations

Electronic Journal of Differential Equations, 2015
Summary: In this note we study solutions defined on the whole space \(\mathbb R^N\) for the \(p\)-Laplace equation \[ \operatorname{div}(| \nabla u|^{p-2}\nabla u)+f(u)=0. \] Under an appropriate condition on the growth of \(f\), which is weaker than conditions previously considered in [\textit{J. A. McCoy}, Differ. Integral Equ. 20, No. 10, 1153--1166
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Investigation of a Lyapunov delta-type inequality with respect to a discrete fractional Green's function. [PDF]

Sci Rep
Mohammed PO, Arab M.
europepmc   +1 more source

Singularity in nonlinear systems: differential inclusion model for the standard and transformed fractional pantograph equation. [PDF]

Sci Rep
Mobayen S, Ghaderi M, Shabibi M, Parvaneh Masiha H, Rezapour S.   +4 more
europepmc   +1 more source

General Nonlocal Probability of Arbitrary Order. [PDF]

Entropy (Basel), 2023
Tarasov VE.
europepmc   +1 more source

Kicked General Fractional Lorenz-Type Equations: Exact Solutions and Multi-Dimensional Discrete Maps. [PDF]

Entropy (Basel)
Tarasov VE.
europepmc   +1 more source

Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]

Sci Rep
Almetwally EM, Zayed MA, Abo-Hashem SI, Sadat R, Mabrouk SM, Rashed AS.   +5 more
europepmc   +1 more source

Some new results on interval-valued volterra integro-differential equations for caputo fractional derivative. [PDF]

Sci Rep
Noureen S, Zehra A, Tolasa FT.
europepmc   +1 more source