Results 11 to 20 of about 646,050 (293)

Liouville Theorems for a Stationary and Non-stationary Coupled System of Liquid Crystal Flows in Local Morrey Spaces [PDF]

Journal of Mathematical Fluid Mechanics, 2020
We consider here the simplified Ericksen–Leslie system on the whole space R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \
Oscar Jarŕın
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Super poly-harmonic properties, Liouville theorems and classification of nonnegative solutions to equations involving higher-order fractional Laplacians [PDF]

Transactions of the American Mathematical Society, 2019
In this paper, we are concerned with equations \eqref{PDE} involving higher-order fractional Laplacians. By introducing a new approach, we prove the super poly-harmonic properties for nonnegative solutions to \eqref{PDE} (Theorem \ref{Thm0}). Our theorem
D. Cao, Wei Dai, Guolin Qin
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Relationships between the discrete Riemann-Liouville and Liouville-Caputo fractional differences and their associated convexity results

AIMS Mathematics, 2022
In this study, we have presented two new alternative definitions corresponding to the basic definitions of the discrete delta and nabla fractional difference operators. These definitions and concepts help us in establishing a relationship between Riemann-
Juan L. G. Guirao, Pshtiwan Othman Mohammed, Hari Mohan Srivastava, Dumitru Baleanu , Marwan S. Abualrub   +4 more
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Liouville Theorems for a Class of Linear Second-Order Operators with Nonnegative Characteristic Form

Boundary Value Problems, 2007
We report on some Liouville-type theorems for a class of linear second-order partial differential equation with nonnegative characteristic form. The theorems we show improve our previous results.
Alessia Elisabetta Kogoj, Ermanno Lanconelli   +1 more
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Liouville theorems for stable weak solutions of elliptic problems involving Grushin operator

Communications on Pure and Applied Analysis, 2020
We consider the boundary value problem \begin{document}$\begin{equation*} \begin{cases} -{\rm div}_G(w_1\nabla_G u) = w_2f(u) &\text{ in } \Omega,\\ u=0 &\text{ on } \partial\Omega, \end{cases}\end{equation*}$ \end{document} where \begin{document}$\Omega$
Phuong Le
semanticscholar   +1 more source

On sequential fractional Caputo (p,q)-integrodifference equations via three-point fractional Riemann-Liouville (p,q)-difference boundary condition

AIMS Mathematics, 2022
In this paper, we aim to study the problem of a sequential fractional Caputo (p,q)-integrodifference equation with three-point fractional Riemann-Liouville (p,q)-difference boundary condition.
Jarunee Soontharanon, Thanin Sitthiwirattham   +1 more
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Liouville theorems for an integral equation of Choquard type

Communications on Pure and Applied Analysis, 2020
We establish sharp Liouville theorems for the integral equation \begin{document}$ u(x) = \int_{\mathbb{R}^n} \frac{u^{p-1}(y)}{|x-y|^{n-\alpha}} \int_{\mathbb{R}^n} \frac{u^p(z)}{|y-z|^{n-\beta}} dz dy, \quad x\in\mathbb{R}^n, $\end{document} where ...
Phuong Le
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Liouville theorems for ancient caloric functions via optimal growth conditions [PDF]

Proceedings of the American Mathematical Society, 2019
We provide some Liouville theorems for ancient nonnegative solutions of the heat equation on a complete non-compact Riemannian manifold with Ricci curvature bounded from below.
S. Mosconi
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Weak Liouville-Arnold Theorems & Their Implications [PDF]

, 2012
This paper studies the existence of invariant smooth Lagrangian graphs for Tonelli Hamiltonian systems with symmetries. In particular, we consider Tonelli Hamiltonians with n independent but not necessarily involutive constants of motion and obtain two ...
A. Fathi, A. Fathi, A. Sorrentino, Alfonso Sorrentino, D. Montgomery, H. Mineur, H.J. Sussmann, H.J. Sussmann, I. Agol, I.A. Taĭmanov, J. Hempel, J.J. Duistermaat, J.N. Mather, J.N. Mather, K. Dekimpe, L. Auslander, L. Bates, L.T. Butler, Leo T. Butler, M.C. Arnaud, M.J. Dias Carneiro, N.M. Dunfield, P. Bernard, P. Bernard, P. Stefan, R. Mañé, S. Schwartzman, V.V. Kozlov   +27 more
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Comparison and oscillation theorems for singular Sturm-Liouville operators [PDF]

Opuscula Mathematica, 2014
We prove analogues of the classical Sturm comparison and oscillation theorems for Sturm-Liouville operators on a finite interval with real-valued distributional potentials.
Monika Homa, Rostyslav Hryniv
doaj   +1 more source