Results 11 to 20 of about 1,718 (227)
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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A Liouville-Type Theorem for Harmonic Functions on Exterior Domains
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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Uncertain fractional forward difference equations for Riemann–Liouville type
Advances in Difference Equations, 2019 To model complex systems with discrete-time features and memory effects in the uncertain environment, a definition of an uncertain fractional forward difference equation with Riemann–Liouville-like forward difference is introduced.
Qinyun Lu, Yuanguo Zhu, Ziqiang Lu
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Robustness for a Liouville Type Theorem in Exterior Domains [PDF]
Journal of Dynamics and Differential Equations, 2014 We are interested in the robustness of a Liouville type theorem for a reaction diffusion equation in exterior domains. Indeed H. Berestycki, F. Hamel and H. Matano (2009) proved such a result as soon as the domain satisfies some geometric properties. We investigate here whether their result holds for perturbations of the domain.
Bouhours, Juliette
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Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations [PDF]
, 2022 In this article, we first prove some sufficient conditions guaranteeing the existence of invariant sample measures for random dynamical systems via the approach of global random attractors.
Wang, Jintao +2 more
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Boundary asymptotics of the ergodic functions associated with fully nonlinear operators through a liouville type theorem [PDF]
, 2021 We prove gradient boundary blow up rates for ergodic functions in bounded domains related to fully nonlinear degenerate/singular elliptic operators. As a consequence, we deduce the uniqueness, up to constants, of the ergodic functions.
Leoni F., Birindelli I., Demengel F.
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An improved Liouville type theorem for Beltrami flows
, 2022 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 the other is proof by contradiction.
Zhang, Zhibing, Wang, Na
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Mathematics, 2020 Under different criteria, we prove the existence of solutions for sequential fractional differential inclusions containing Riemann–Liouville and Caputo type derivatives and supplemented with generalized fractional integral boundary conditions.
Jessada Tariboon +3 more
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A new kind of uniqueness theorems for inverse Sturm-Liouville problems
Boundary Value Problems, 2017 We prove Marchenko-type uniqueness theorems for inverse Sturm-Liouville problems. Moreover, we prove a generalization of Ambarzumyan’s theorem.
Yuri Ashrafyan
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Advances in Difference Equations, 2021 This paper is concerned with the existence and uniqueness of solutions for a coupled system of Liouville–Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions.
Ahmed Alsaedi +3 more
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