Results 41 to 50 of about 4,676 (117)
On the boundary of an immediate attracting basin of a hyperbolic entire function
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract Let f$f$ be a transcendental entire function of finite order which has an attracting periodic point z0$z_0$ of period at least 2. Suppose that the set of singularities of the inverse of f$f$ is finite and contained in the component U$U$ of the Fatou set that contains z0$z_0$. Under an additional hypothesis, we show that the intersection of ∂U$\
Walter Bergweiler, Jie Ding
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Semilinear equations in the plane with measurable data
Доповiдi Нацiональної академiї наук УкраїниWe study semilinear partial differential equations in the plane, the linear part of which is written in a divergence form. The main result is given as a factorization theorem.
V.Ya. Gutlyanskiĭ +2 more
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The theory of prime ends and spatial mappings [PDF]
, 2015 It is given a canonical representation of prime ends in regular spatial domains and, on this basis, it is studied the boundary behavior of the so-called lower Q-homeomorphisms that are the natural generalization of the quasiconformal mappings.
Kovtonyuk, Denis, Ryazanov, Vladimir
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Lipschitz decompositions of domains with bilaterally flat boundaries
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We study classes of domains in Rd+1,d⩾2$\mathbb {R}^{d+1},\ d \geqslant 2$ with sufficiently flat boundaries that admit a decomposition or covering of bounded overlap by Lipschitz graph domains with controlled total surface area. This study is motivated by the following result proved by Peter Jones as a piece of his proof of the Analyst's ...
Jared Krandel
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Quasiconformal mappings and degenerate elliptic and parabolic equations
Le Matematiche, 1987 In this paper two Harnak inequalities are proved concerning a degenerate elliptic and a degenerate parabolic equation. In both cases the weight giving the degeneracy is a power of the jacobian of a quasiconformal mapping.
Filippo Chiarenza +1 more
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Axioms, 2015 Conventional splines offer powerful means for modeling surfaces and volumes in three-dimensional Euclidean space. A one-dimensional quaternion spline has been applied for animation purpose, where the splines are defined to model a one-dimensional ...
Wei Zeng +2 more
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GPU‐Accelerated Optimization of Discrete Ricci Flow for High‐Resolution Triangular Meshes
IET Image Processing, Volume 19, Issue 1, January/December 2025.Discrete Ricci flow is a valuable technique for surface parameterization via target curvatures but suffers from high computational costs. This paper overcomes this bottleneck by proposing a GPU‐accelerated framework that reformulates the iterative process into parallel matrix computations. Experiments confirm the GPU implementation achieves significant
Zhiheng Wei +7 more
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Lorentzian Para‐Kenmotsu Manifolds Within the Framework of ∗‐Conformal η‐Ricci Soliton
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.The present article intends to study the ∗‐conformal η‐Ricci soliton on n‐LPK (n‐dimensional Lorentzian para‐Kenmotsu) manifolds with curvature constraints. On n‐LPK, we derive certain results of ∗‐conformal η‐Ricci soliton satisfying the Codazzi‐type equation, R(ξ, L) · S = 0, the projective flatness of the n‐LPK manifold. At last, we conclude with an
Shyam Kishor +4 more
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Application of Differential Subordinations to the Arithmetic–Geometric Means by Using an Operator
Journal of Mathematics, Volume 2025, Issue 1, 2025.This study investigates differential subordination involving arithmetic and geometric mean approaches associated with a previously introduced operator. While earlier studies considered cases where the dominant function was convex or linear, the present work extends these results by examining differential subordinations for specific classes of convex ...
Santosh Mandal +5 more
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Cyclic‐Schottky strata of Schottky space
Bulletin of the London Mathematical Society, Volume 56, Issue 11, Page 3412-3427, November 2024.Abstract Schottky space Sg${\mathcal {S}}_{g}$, where g⩾2$g \geqslant 2$ is an integer, is a connected complex orbifold of dimension 3(g−1)$3(g-1)$; it provides a parametrization of the PSL2(C)${\rm PSL}_{2}({\mathbb {C}})$‐conjugacy classes of Schottky groups Γ$\Gamma$ of rank g$g$. The branch locus Bg⊂Sg${\mathcal {B}}_{g} \subset {\mathcal {S}}_{g}$,
Rubén A. Hidalgo, Milagros Izquierdo
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