Results 21 to 30 of about 646,050 (293)
Liouville theorems on the upper half space [PDF]
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
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Complete Riemannian manifolds with Killing — Ricci and Codazzi — Ricci tensors
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
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وجود الحلول الموجبة لمسائل القیم الحدودیة لمعادلة تفاضلیة لاخطیة من الرتب الکسریة [PDF]
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
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Liouville Theorems and a Schwarz Lemma for Holomorphic Mappings Between Kähler Manifolds [PDF]
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
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Gradient estimates for a nonlinear parabolic equation and Liouville theorems [PDF]
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
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Cotangent models for integrable systems [PDF]
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
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Finite Morse index solutions of the Hénon Lane–Emden equation
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
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On Holditch and Liouville theorems
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
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A new Definition of Fractional Derivative and Fractional Integral [PDF]
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
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On a Theorem of Liouville's [PDF]
n ...
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