Results 41 to 50 of about 130 (118)
A Finsler counterexample to the Croke conjecture for the systolic ratio on the 2-sphere
, 2021 11 pages, 3 ...
Buro, Guillaume, Merlin, Louis
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Regularity of weakly harmonic maps from a Finsler surface into ann-sphere [PDF]
Pacific Journal of Mathematics, 2011 Harmonic maps between Riemannian manifolds are very important tools in differential geometry. They are defined as the critical points of the energy functionals. Finsler manifolds are just Riemannian manifolds with metrics without the quadratic restriction. In this paper, the authors study the theory of harmonic maps on Finsler surfaces. They obtain the
Mo, Xiaohuan, Zhao, Liang
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Brezis–Nirenberg type results for the anisotropic p$p$‐Laplacian
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract In this paper, we consider a quasilinear elliptic and critical problem with Dirichlet boundary conditions in presence of the anisotropic p$p$‐Laplacian. The critical exponent is the usual p★$p^{\star }$ such that the embedding W01,p(Ω)⊂Lp★(Ω)$W^{1,p}_{0}(\Omega) \subset L^{p^{\star }}(\Omega)$ is not compact.
Stefano Biagi +3 more
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H∞ filtering for 2D continuous‐discrete Takagi–Sugeno fuzzy systems in finite frequency band
Asian Journal of Control, Volume 27, Issue 5, Page 2128-2140, September 2025.Abstract This paper focuses on the design of H∞$$ {H}_{\infty } $$ filtering for two‐dimensional (2‐D) continuous‐discrete Takagi–Sugeno (T–S) fuzzy systems. The frequency of disturbance input is assumed to be known and to reside in a finite frequency (FF) domain.
Abderrahim El‐Amrani +3 more
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Grove-Shiohama type sphere theorem in Finsler geometry
, 2013 The version 3 was corrected as follows: L_m (c) < \pi replaced with L_m (c) \leq rad_p in the (3) of Theorem 1.3. And some other minor changes have been done in the version 4. 16 pages, no figures.
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Multiplicative rectifying submanifolds of multiplicative Euclidean space
Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 329-339, 15 January 2025.In this paper, we initiate the study of the multiplicative Euclidean submanifolds, exhibiting the multiplicative counterparts of the Gauss–Weingarten formulas. Some particular types such as multiplicative conic, spherical, and totally geodesic submanifolds are analyzed.
Muhittin Evren Aydin +2 more
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Non-hyperbolic closed geodesics on Finsler spheres
Journal of Differential Geometry, 2015 In this paper, we prove that for every bumpy Finsler $2k$-sphere $(S^{2k}, F)$ with reversibility $\lambda$ and flag curvature $K$ satisfying the pinching condition $(\frac{\lambda}{\lambda + 1}) \lt K \leq 1$ either there exist infinitely many closed geodesics or there exist at least $2k$ non-hyperbolic closed geodesics. Due to the example of A.
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Complexity, Volume 2025, Issue 1, 2025.This paper investigates the input delay analysis and H∞ control problem for networked control systems with finite‐time stochastic boundedness (FTSB). First, a novel control scheme is used to handle the Markovian jump parameters, and an event‐triggered rule is introduced to a networked control system with FTSB, which can ensure the control performance ...
Gaofeng Peng +4 more
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Closed geodesics on positively curved Finsler spheres
Advances in Mathematics, 2008 In this paper, we prove that for every Finsler $n$-sphere $(S^n, F)$ for $n\ge 3$ with reversibility $λ$ and flag curvature $K$ satisfying $(\fracλ{λ+1 ...
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An overdetermined problem related to the Finsler p$p$‐Laplacian
Mathematika, Volume 70, Issue 4, October 2024.Abstract In this paper, we consider the Finsler p$p$‐Laplacian torsion equation. The domain of the problem is bounded by a conical surface supporting a Neumann‐type condition, and an unknown surface supporting both a Dirichlet and a Neumann condition. The case when the cone coincides with the punctured space is included. We show that the existence of a
Antonio Greco, Benyam Mebrate
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