Results 11 to 20 of about 19,748 (189)
Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps [PDF]
Analysis and Geometry in Metric Spaces, 2014 This paper is a study of harmonic maps fromRiemannian polyhedra to locally non-positively curvedgeodesic spaces in the sense of Alexandrov. We prove Liouville-type theorems for subharmonic functionsand harmonic maps under two different assumptions on the
Sinaei Zahra
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On Cauchy–Liouville-type theorems
Advances in Nonlinear Analysis, 2017 In this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces. Our results extend Liouville-type theorems that have been obtained recently.
Araya Ataklti, Mohammed Ahmed
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Liouville type theorems involving fractional order systems
Advanced Nonlinear StudiesIn this paper, let α be any real number between 0 and 2, we study the following semi-linear elliptic system involving the fractional Laplacian: (−Δ)α/2u(x)=f(u(x),v(x)),x∈Rn,(−Δ)α/2v(x)=g(u(x),v(x)),x∈Rn. $\begin{cases}{\left(-{\Delta}\right)}^{\alpha /2}
Liao Qiuping, Liu Zhao, Wang Xinyue
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A Contribution of Liouville-Type Theorems to the Geometry in the Large of Hadamard Manifolds
Mathematics, 2022 A complete, simply connected Riemannian manifold of nonpositive sectional curvature is called a Hadamard manifold. In this article, we prove Liouville-type theorems for isometric and harmonic self-diffeomorphisms of Hadamard manifolds, as well as ...
Josef Mikeš +2 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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Liouville theorems for Hénon type Choquard Equation
Communications on Pure and Applied Analysis, 2023 In this paper, the authors study an equation of Choquard type in \(\mathbb{R} ^{N}\): \[ -\Delta u=\left\vert x\right\vert ^{\alpha}\left\vert u\right\vert ^{p-2} u\int_{\mathbb{R}^{N}}\frac{\left\vert y\right\vert ^{\alpha}\left\vert u(y)\right\vert ^{p}}{\left\vert x-y\right\vert ^{N-\mu}}dy, \] where ...
Dong, Jing, He, Haiyang
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Liouville Theorems for Fractional Parabolic Equations
Advanced Nonlinear Studies, 2021 In this paper, we establish several Liouville type theorems for entire solutions to fractional parabolic equations. We first obtain the key ingredients needed in the proof of Liouville theorems, such as narrow region principles and maximum principles for
Chen Wenxiong, Wu Leyun
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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 +1 more
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Liouville theorems for Kirchhoff-type parabolic equations and system on the Heisenberg group
Open Mathematics, 2023 In this article, the Liouville theorems for the Kirchhoff-type parabolic equations on the Heisenberg group were established. The main technique for proving the result relies on the method of test functions.
Shi Wei
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Non-Existence Results for Stable Solutions to Weighted Elliptic Systems including Advection Terms
Mathematics, 2022 In this paper, we study a non-linear weighted Grushin system including advection terms. We prove some Liouville-type theorems for stable solutions of the system, based on the comparison property and the bootstrap iteration.
Suleman Alfalqi
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