Results 11 to 20 of about 7,152,101 (256)
An improved Liouville type theorem for Beltrami flows [PDF]
Nonlinearity, 2021 In this note, we improved the Liouville type theorem for the Beltrami flows. Two different methods are used to prove it, one is the monotonicity method, and another is proof by contradiction.
Na Wang, Zhibing Zhang
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Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations [PDF]
, 2021 In this article, the authors investigate the system of Schrodinger and Klein-Gordon equations with Yukawa coupling. They first prove the existence of pullback attractor and construct a family of invariant Borel probability measures.
Caidi Zhao +2 more
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A Liouville-Type Theorem for Harmonic Functions on Exterior Domains [PDF]
Journal of Mathematical Analysis and Applications, 2000 Liouville's classical theorem that a function harmonic in \(\mathbb{R}^2\) that is bounded below is a constant does not extend to \(\mathbb{R}^2\) punctured at the origin. Via some interesting preliminaries on convex sets in \(\mathbb{R}^2\), the authors prove that if \(K\) is a non-empty compact convex set in \(\mathbb{R}^2\) and \(f\) is a real ...
CAMMAROTO, Filippo, CHINNI', Antonia
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A Liouville-type Theorem on half-spaces for sub-Laplacians [PDF]
Proceedings of the American Mathematical Society, 2014 Summary: Let \( \mathcal {L}\) be a sub-Laplacian on \( \mathcal {L}^N\) and let \( \mathbb{G}=(\mathcal {L}^N,\circ ,\delta _\lambda )\) be its related homogeneous Lie group. Let \( \mathbb{E}\) be a Euclidean subgroup of \( \mathcal {L}^N\) such that the orthonormal projection \( \pi :\mathbb{G} \longrightarrow \mathbb{E}\) is a homomorphism of ...
Alessia E. Kogoj, Alessia E. Kogoj
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Discrete and Continuous Dynamical Systems - B, 2022 We introduce invariant sample measures to nonautonomous random dynamical systems, and consider the dynamical behaviors of a nonautonomous stochastic \begin{document}$ p $\end{document}-Laplacian equation with multiplicative noise on a bounded domain.
Jintao Wang, Xiaoqian Zhang
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Axioms, 2023 This paper is devoted to boundary-value problems for Riemann–Liouville-type fractional differential equations of variable order involving finite delays.
Benoumran Telli +2 more
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Discrete & Continuous Dynamical Systems - B, 2022 In this article, we are concerned with statistical solutions for the nonautonomous coupled Schrödinger-Boussinesq equations on infinite lattices. Firstly, we verify the existence of a pullback-\begin{document}$ {\mathcal{D}} $\end{document} attractor and
Congcong Li, Chunqiu Li, Jintao Wang
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The Uniqueness Theorem for the Solutions of Dual Equations of Sturm-Liouville Problems with Singular Points and Turning Points [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, linear second-order differential equations of Sturm-Liouville type having a finite number of singularities and turning points in a finite interval are investigated.
Seyfollah Mosazadeh
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Existence Results for Fractional Differential Equations Under Weak Topology Features
Pan-American Journal of Mathematics, 2022 Using Krasnoselskii type fixed point theorem under the weak topology, we establish some sufficient conditions to ensure the existence of the weak solutions for kinds of initial value problems of fractional differential equations, involving Riemann ...
Ahmed Hallaci +3 more
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SOME REMARKS ON LIOUVILLE TYPE THEOREMS [PDF]
Recent Advances in Nonlinear Analysis, 2008 The goal of this note is to present elementary proofs of statements related to the Liouville theorem.
Brezis, H, Chipot, M, Xie, Y
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