Results 21 to 30 of about 646,050 (293)

Liouville theorems on the upper half space [PDF]

open access: yesDiscrete and Continuous Dynamical Systems. Series A, 2019
In this paper we shall establish some Liouville theorems for solutions bounded from below to certain linear elliptic equations on the upper half space.
Lei Wang, Meijun Zhu
semanticscholar   +1 more source

Complete Riemannian manifolds with Killing — Ricci and Codazzi — Ricci tensors

open access: yesДифференциальная геометрия многообразий фигур, 2022
The purpose of this paper is to prove of Liouville type theorems, i. e., theorems on the non-existence of Killing — Ric­ci and Codazzi — Ricci tensors on complete non-com­pact Riemannian manifolds.
S.E. Stepanov, I. I. Tsyganok, J. Mikeš
doaj   +1 more source

وجود الحلول الموجبة لمسائل القیم الحدودیة لمعادلة تفاضلیة لاخطیة من الرتب الکسریة [PDF]

open access: yesمجلة التربية والعلم, 2020
Recently boundary value problems for differential equations of non-integral order have studied in many papers ( see [1,2] ). Zaho etal [ 1 ] studied the following boundary value problem of fractional differential equations.
Noora Omar Aga
doaj   +1 more source

Liouville Theorems and a Schwarz Lemma for Holomorphic Mappings Between Kähler Manifolds [PDF]

open access: yesCommunications on Pure and Applied Mathematics, 2018
We derive some consequences of the Liouville theorem for plurisubharmonic functions of L.‐F. Tam and the author. The first result provides a nonlinear version of the complex splitting theorem (which splits off a factor of ℂ isometrically from the simply ...
Lei Ni
semanticscholar   +1 more source

Gradient estimates for a nonlinear parabolic equation and Liouville theorems [PDF]

open access: yesManuscripta mathematica, 2018
We establish local elliptic and parabolic gradient estimates for positive smooth solutions to a nonlinear parabolic equation on a smooth metric measure space.
Jia-Yong Wu
semanticscholar   +1 more source

Cotangent models for integrable systems [PDF]

open access: yes, 2016
We associate cotangent models to a neighbourhood of a Liouville torus in symplectic and Poisson manifolds focusing on a special class called $b$-Poisson/$b$-symplectic manifolds.
Kiesenhofer, Anna, Miranda, Eva
core   +6 more sources

Finite Morse index solutions of the Hénon Lane–Emden equation

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we are concerned with Liouville-type theorems of the Hénon Lane–Emden triharmonic equations in whole space. We prove Liouville-type theorems for solutions belonging to one of the following classes: stable solutions and finite Morse index ...
Abdellaziz Harrabi, Cherif Zaidi
doaj   +1 more source

On Holditch and Liouville theorems

open access: yesCommunications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1995
The authors examine the relationship between the Liouville theorem in mechanics and the Holditch theorem in geometry. They first start by introducing well-known results of Hamiltonian mechanics when the Hamiltonian comes from a Riemannian metric \[ ds^2=g_{ij}dx^idx^j \] on the configuration space. In particular, the authors prove that the solutions of
A. K. Amirov, H . Hilmi Hacisalihoğlu
openaire   +4 more sources

A new Definition of Fractional Derivative and Fractional Integral [PDF]

open access: yesKirkuk Journal of Science, 2018
In this paper, we introduce three different definitions of fractional derivatives, namely Riemann-Liouville derivative, Caputo derivative and the new formula Caputo expansion formula, and some basics properties of these derivatives are discussed.
Ahmed M. Kareem
doaj   +1 more source

On a Theorem of Liouville's [PDF]

open access: yesProceedings of the London Mathematical Society, 1893
n ...
openaire   +2 more sources

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