Results 71 to 80 of about 31,974 (245)
Plank theorems and their applications: A survey
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
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The Daugavet equation in uniformly convex Banach spaces
Journal of Functional Analysis, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abramovich, Y.A +2 more
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Bounded cohomology with coefficients in uniformly convex Banach spaces [PDF]
Commentarii Mathematici Helvetici, 2016 We show that for acylindrically hyperbolic groups \Gamma (with no nontrivial finite normal subgroups) and arbitrary unitary representation \rho of
Mladen Bestvina +2 more
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The scalar T1 theorem for pairs of doubling measures fails for Riesz transforms when p not 2
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that for an individual Riesz transform in the setting of doubling measures, the scalar T1$T1$ theorem fails when p≠2$p \ne 2$: for each p∈(1,∞)∖{2}$ p \in (1, \infty) \setminus \lbrace 2\rbrace$, we construct a pair of doubling measures (σ,ω)$(\sigma, \omega)$ on R2$\mathbb {R}^2$ with doubling constant close to that of Lebesgue ...
Michel Alexis +3 more
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Fixed Point Theorem for Monotone Non-Expansive Mappings
International Journal of Analysis and Applications, 2021 In this paper, we study the fixed point theorem for monotone nonexpansive mappings in the setting of a uniformly smooth and uniformly convex smooth Banach space.
Joseph Frank Gordon
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Convexity properties of quasihyperbolic balls on Banach spaces
, 2010 We study convexity and starlikeness of quasihyperbolic and distance ratio metric balls on Banach spaces. In particular, problems related to these metrics on convex domains, and on punctured Banach spaces, are ...
Rasila, Antti, Talponen, Jarno
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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper presents a comprehensive analysis of the existence, uniqueness, and Ulam–Hyers stability of solutions for a class of Cauchy‐type nonlinear fractional differential equations with variable order and finite delay. The motivation for this study lies in the increasing importance of variable‐order fractional calculus in modeling real‐world systems
Souhila Sabit +5 more
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Journal of Applied Mathematics, 2013 Two countable families of hemirelatively nonexpansive mappings are considered based on a hybrid projection algorithm. Strong convergence theorems of iterative sequences are obtained in an uniformly convex and uniformly smooth Banach space.
Zi-Ming Wang, Poom Kumam
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Some applications of Ball's extension theorem [PDF]
, 2006 We present two applications of Ball's extension theorem. First we observe that Ball's extension theorem, together with the recent solution of Ball's Markov type 2 problem due to Naor, Peres, Schramm and Sheffield, imply a generalization, and an ...
Mendel, Manor, Naor, Assaf
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Triple Solutions for Nonlinear (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff Type Equations
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this manuscript, we study a (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff equation involving a continuous positive potential that satisfies del Pino–Felmer type conditions: K1∫ℝN11/μ1z∇ψμ1z dz+∫ℝN/μ1zVzψμ1z dz−Δμ1·ψ+Vzψμ1z−2ψ+K2∫ℝN11/μ2z∇ψμ2z dz+∫ℝN/μ2zVzψμ2z dz−Δμ2·ψ+Vzψμ2z−2ψ=ξ1θ1z,ψ+ξ2θ2z,ψ inℝN, where K1 and K2 are Kirchhoff functions, Vz is a ...
Ahmed AHMED +3 more
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