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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…
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Keywords:
landau type;
certain bounded;
biharmonic mappings;
theorems certain ... See more keywords
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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…
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Keywords:
processes independent;
theorems generalized;
baxter type;
generalized random ... See more keywords
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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.
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Keywords:
theorems polyharmonic;
landau type;
polyharmonic mappings;
type theorems ... See more keywords
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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…
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Keywords:
bessel fourier;
type theorems;
boas type;
fourier transform ... See more keywords
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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.
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Keywords:
product manifolds;
liouville type;
almost product;
riemannian almost ... See more keywords
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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…
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Keywords:
kempf ness;
theorems nahm;
type theorems;
geometry ... See more keywords
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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 $u_t= \Delta u+V(x)f(u)$,…
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Keywords:
points potential;
type theorems;
liouville type;
blowup zero ... See more keywords
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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…
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Keywords:
hausdorff measure;
jarn type;
type theorems;
theorems manifolds ... See more keywords
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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…
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Keywords:
kinetic equations;
type theorems;
quantitative hypocoercivity;
convergence ... See more keywords
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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…
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Keywords:
bloch type;
biharmonic mappings;
landau bloch;
theorems certain ... See more keywords
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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…
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Keywords:
stationary mhd;
theorems stationary;
type theorems;
mhd equations ... See more keywords