Articles with "type theorems" as a keyword



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Landau-Type Theorems for Certain Bounded Biharmonic Mappings

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Published in 2019 at "Results in Mathematics"

DOI: 10.1007/s00025-019-1095-7

Abstract: In this paper, we establish three sharp versions of the Landau-type theorems for bounded biharmonic mappings $$F(z)=|z|^2G(z)+H(z)$$, where G(z) and H(z) are harmonic in the unit disk U with $$G(0)=H(0)=0$$ and $$\lambda _{F}(0)=||F_z(0)|-|F_{{\overline{z}}}(0)||=1$$. Our results… read more here.

Keywords: landau type; certain bounded; biharmonic mappings; theorems certain ... See more keywords
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On Baxter Type Theorems for Generalized Random Gaussian Processes with Independent Values

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Published in 2020 at "Cybernetics and Systems Analysis"

DOI: 10.1007/s10559-020-00238-5

Abstract: We construct suitable families of basic functions and prove theorems of Baxter type for generalized Gaussian random processes with independent values. These theorems are used to divide families of such processes into classes. The singularity… read more here.

Keywords: processes independent; theorems generalized; baxter type; generalized random ... See more keywords
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Landau-Type Theorems of Polyharmonic Mappings and log-p-Harmonic Mappings

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Published in 2019 at "Complex Analysis and Operator Theory"

DOI: 10.1007/s11785-018-0784-7

Abstract: In this paper, we first establish three new Landau-type theorems of polyharmonic mappings, which extend the related results of biharmonic mappings of earlier authors. Then three new Landau-type theorems of log-p-harmonic mappings are also provided. read more here.

Keywords: theorems polyharmonic; landau type; polyharmonic mappings; type theorems ... See more keywords
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Boas-type theorems for the q-Bessel Fourier transform

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Published in 2021 at "Analysis and Mathematical Physics"

DOI: 10.1007/s13324-021-00542-z

Abstract: In this paper, we give necessary and sufficient conditions in terms of $${\mathcal {F}}_{q,\nu }(f)$$ , the q-Bessel Fourier transform of f, to ensure that f belongs either to one of the generalized Lipschitz classes… read more here.

Keywords: bessel fourier; type theorems; boas type; fourier transform ... See more keywords
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Liouville-type theorems for some classes of Riemannian almost product manifolds and for special mappings of Riemannian manifolds

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Published in 2017 at "Differential Geometry and Its Applications"

DOI: 10.1016/j.difgeo.2017.03.006

Abstract: Abstract In the present paper we prove Liouville-type theorems: non-existence theorems for some complete Riemannian almost product manifolds and special mappings of complete Riemannian manifolds which generalize similar results for compact manifolds. read more here.

Keywords: product manifolds; liouville type; almost product; riemannian almost ... See more keywords
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Kempf–Ness type theorems and Nahm equations

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Published in 2019 at "Journal of Geometry and Physics"

DOI: 10.1016/j.geomphys.2018.11.003

Abstract: Abstract We prove a version of the affine Kempf–Ness theorem for non-algebraic symplectic structures and shifted moment maps, and use it to describe hyperkahler quotients of T ∗ G , where G is a complex… read more here.

Keywords: kempf ness; theorems nahm; type theorems; geometry ... See more keywords
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Excluding blowup at zero points of the potential by means of Liouville-type theorems

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Published in 2018 at "Journal of Differential Equations"

DOI: 10.1016/j.jde.2018.06.025

Abstract: We prove a local version of a (global) result of Merle and Zaag about ODE behavior of solutions near blowup points for subcritical nonlinear heat equations. As an application, for the equation $u_t= \Delta u+V(x)f(u)$,… read more here.

Keywords: points potential; type theorems; liouville type; blowup zero ... See more keywords
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JARNÍK TYPE THEOREMS ON MANIFOLDS

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Published in 2023 at "Bulletin of the Australian Mathematical Society"

DOI: 10.1017/s0004972723000291

Abstract: Let $\psi $ be a decreasing function. We prove zero-infinity Hausdorff measure criteria for the set of dual $\psi $ -approximable points and for the set of inhomogeneous multiplicative $\psi $ -approximable points on nondegenerate… read more here.

Keywords: hausdorff measure; jarn type; type theorems; theorems manifolds ... See more keywords
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On quantitative hypocoercivity estimates based on Harris-type theorems

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Published in 2023 at "Journal of Mathematical Physics"

DOI: 10.1063/5.0089698

Abstract: This Review concerns recent results on the quantitative study of convergence toward the stationary state for spatially inhomogeneous kinetic equations. We focus on analytical results obtained by means of certain probabilistic techniques from the ergodic… read more here.

Keywords: kinetic equations; type theorems; quantitative hypocoercivity; convergence ... See more keywords
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Landau–Bloch type theorems for certain biharmonic mappings

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Published in 2019 at "Complex Variables and Elliptic Equations"

DOI: 10.1080/17476933.2019.1701665

Abstract: In this paper, two versions of Landau–Bloch type theorems for biharmonic mappings are provided by applying the geometric method and establishing better coefficient estimates for bounded and normalized planar harmonic mappings. In particular, we pose… read more here.

Keywords: bloch type; biharmonic mappings; landau bloch; theorems certain ... See more keywords
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On Liouville-type theorems for the 2D stationary MHD equations

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Published in 2021 at "Nonlinearity"

DOI: 10.1088/1361-6544/ac3f8b

Abstract: 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. The key tool in our proof is observing that the stream function… read more here.

Keywords: stationary mhd; theorems stationary; type theorems; mhd equations ... See more keywords