Results 81 to 90 of about 14,112 (178)

Hardy-Littlewood-Sobolev systems and related Liouville theorems

, 2014
We prove some Liouville theorems for systems of integral equations and inequalities related to weighted Hardy-Littlewood-Sobolev inequality type on RN.
D'AMBROSIO, Lorenzo, Enzo Mitidieri, L. D'AMBROSIO, MITIDIERI, ENZO   +3 more
core   +1 more source

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
openaire   +2 more sources

Gradient estimates and Liouville-type theorems for a weighted nonlinear elliptic equation. [PDF]

J Inequal Appl, 2018
Ma B, Dong Y.
europepmc   +1 more source

Diffusion-type operators, Liouville theorems and gradient estimates on complete manifolds

, 2010
We study Liouville theorems and gradient estimates for solutions of Eq.
M. Rigoli, P. Mastrolia
core   +1 more source

A New Proof of a Liouville-Type Theorem for Polyharmonic Functions

Real Analysis Exchange, 2005
The author gives simple proofs of Pizetti's formula and as a corollary, the Liouville theorem for polyharmonic functions.
openaire   +3 more sources

Stability of Delay Hopfield Neural Networks with Generalized Riemann-Liouville Type Fractional Derivative. [PDF]

Entropy (Basel), 2023
Agarwal RP, Hristova S.
europepmc   +1 more source

Dynamic analysis of the fractional distributed delay models. [PDF]

Sci Rep
El-Saka HAA, El-Sherbeny DEA, El-Sayed AMA.   +2 more
europepmc   +1 more source

$L^p$ Liouville type theorems for harmonic functions on gradient Ricci solitons

In this paper we consider $L^p$ Liouville type theorems for harmonic functions on gradient Ricci solitons. In particular, assume that $(M,g)$ is a gradient shrinking or steady Kähler-Ricci soliton, then we prove that any pluriharmonic function $u$ on $M$
Luo, Yong
core  

Nonlinear Liouville Theorems and a Priori Estimates for Indefinite Superlinear Elliptic Equations

, 2009
We establish two general nonlinear Liouville theorems for equations of the type -Δu = h(x₁)f(u), u ≥ 0 in R^N, sup
Li, Shujie, Du, Yihong
core  

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