Results 11 to 20 of about 14,112 (178)
Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps [PDF]
Analysis and Geometry in Metric Spaces, 2014 AbstractThis 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 source space.
Sinaei Zahra
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Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type [PDF]
, 2013 The two-dimensional Hamiltonian system (*) y'(x)=zJH(x)y(x), x∈(a,b), where the Hamiltonian H takes non-negative 2x2-matrices as values, and $J:= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$, has attracted a lot of interest over the past decades ...
Harald Woracek +3 more
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A Contribution of Liouville-Type Theorems to the Geometry in the Large of Hadamard Manifolds
, 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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On Liouville-type theorems for the 2D stationary MHD equations
, 2022 We establish new Liouville-type theorems for the two-dimensional stationary magneto-hydrodynamic incompressible system assuming that the velocity and magnetic field have bounded Dirichlet integral.
Hounkpe, Francis +2 more
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Ambarzumyan Type Theorems for a Class of Sturm-Liouville Problem
, 2017 Bu makalede, sınır koşulları parametreye bağlı, bir geçiş koşullu Sturm-Liouville problemi için Ambarzumyan tipi teoremler ispatlanmaktadırIn this paper, we prove Ambarzumyan type theorems for an impulsive Sturm–Liouville problem with eigenparameter in ...
A Sinan Ozkan, Yasar Cakmak
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Liouville type theorems for anisotropic degenerate elliptic equations on strips
, 2023 We establish ($L^\infty$) Liouville type theorems for anisotropic degenerate elliptic equations in divergence form on the strip $S=\R^{N-1}\times (-1,1)$ where $x=(x',\lambda)$. The model equation is $div_{x'} (w_1 \nabla_{x'}\sigma)+\partial_\lambda (
Luisa Moschini
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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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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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A Liouville‐type theorem for cylindrical cones
Communications on Pure and Applied MathematicsAbstractSuppose that is a smooth strictly minimizing and strictly stable minimal hypercone (such as the Simons cone), , and a complete embedded minimal hypersurface of lying to one side of . If the density at infinity of is less than twice the density of , then we show that , where is the Hardt–Simon foliation of .
Edelen, Nick, Székelyhidi, Gábor
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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