Results 81 to 90 of about 139,246 (209)

Three-circle theorems and Liouville-type theorems

Science China Mathematics
14 ...
Jian, Run-Qiang, Zhang, Zhuhong
openaire   +3 more sources

Weighted $L^p$-Liouville theorems for hypoelliptic partial differential operators on Lie groups [PDF]

, 2016
We prove weighted Lp-Liouville theorems for a class of second order hypoelliptic partial differential operators L on Lie groups whose underlying manifold is n-dimensional space. We show that a natural weight is the right-invariant measure Hˇ of .
Bonfiglioli, Andrea, KOGOJ, ALESSIA ELISABETTA   +1 more
core   +1 more source

Some Liouville theorems for the p-Laplacian

Electronic Journal of Differential Equations, 2002
In this paper we propose a new proof for non-linear Liouville type results concerning the $p$-Laplacian. Our method differs from the one used by Mitidieri and Pohozaev because it uses a comparison principle that can be applied to nondivergence form ...
Isabeau Birindelli, Francoise Demengel
doaj  

On behavior of solution for delta fractional differences associated with special functions

Alexandria Engineering Journal
In this paper, a general idea of Mittag-Leffler function using discrete fractional of delta-type in the Riemann–Liouville sense is initiated. Asymptotic behavior of solutions associated with the Riemann–Liouville fractional difference is proposed herein ...
Pshtiwan Othman Mohammed, Dumitru Baleanu, Meraa Arab, Majeed Ahmad Yousif, Shrooq Mohammed Azzo, Thabet Abdeljawad   +5 more
doaj   +1 more source

Liouville type theorems for mappings with bounded (co)-distortion [PDF]

We obtain Liouville type theorems for mappings with bounded $s$-distorsion between Riemannian manifolds. Besides these mappings, we introduce and study a new class, which we call mappings with bounded $q$-codistorsion.GR-TRClass.
Vodop'yanov, Sergei, Troyanov, Marc
core   +2 more sources

Harmonic Functions and Liouville-Type Theorems on Complete Riemannian Manifolds

, 2011
Harmonic functions constitute one of the fundamental objects in differential geometry, geometric analysis, and partial differential equations. On a Riemannian manifold, a smooth function is called harmonic if its Laplace–Beltrami operator vanishes.
Indra Kant Jha
core   +1 more source

A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative

Advances in Difference Equations, 2009
We establish sufficient conditions for the existence of mild solutions for some densely defined semilinear functional differential equations and inclusions involving the Riemann-Liouville fractional derivative.
Ravi P. Agarwal, Mohammed Belmekki, Mouffak Benchohra   +2 more
doaj   +1 more source

Liouville theorems in halfspaces for parabolic hypoelliptic equations

, 2006
We prove some one-side Liouville-type theorems in halfspaces for a class of evolution hypoelliptic equations. The operators we deal with are left translation invariant, and homogeneous of degree two, on homogeneous Lie groups on $mathbb{R}^{N+1}$
Lanconelli, Ermanno, Ermanno Lanconelli, KOGOJ, ALESSIA ELISABETTA   +2 more
core   +1 more source

Liouville type theorems involving fractional order systems

Advanced Nonlinear Studies
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: (−Δ)α/2u(x)=f(u(x),v(x)),x∈Rn,(−Δ)α/2v(x)=g(u(x),v(x)),x∈Rn. $\begin{cases}{\left(-{\Delta}\right)}^{\alpha /2}
Liao Qiuping, Liu Zhao, Wang Xinyue
doaj   +1 more source

Boas-type theorems for the Sturm-Liouville transform

We introduce generalized Lipschitz classes $\mbox{Lip}_k(\beta)$ and $\mbox{lip}_k(\beta)$ of functions associated with the Sturm-Liouville operator $L$; and we prove two versions of Boas-type theorems for the Sturm-Liouville transform $\mathscr{F}$.
Maher Aloui, Fethi Soltani
core   +1 more source