Results 71 to 80 of about 2,628 (194)
Chaotic Eigenfunctions in Phase Space
Journal of Statistical Physics, 1998 61 pages, LaTeX, plus 20 eps figures, two of them in color.
Nonnenmacher, S., Voros, A.
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Plant populations in ancient grasslands harbour higher levels of genetic diversity
Journal of Applied Ecology, Volume 63, Issue 7, July 2026.Since ancient grasslands harbour genetically more diverse plant populations, land use history should be given more attention in conservation management. Abstract Land‐use change and intensification can be a threat to biodiversity of grassland habitats, including genetic diversity.
Lena Winkler +3 more
wiley +1 more source
An eigenvalue problem for the infinity-Laplacian
Electronic Journal of Differential Equations, 2013 In this work, we study an eigenvalue problem for the infinity-Laplacian on bounded domains. We prove the existence of the principal eigenvalue and a corresponding positive eigenfunction.
Tilak Bhattacharya, Leonardo Marazzi
doaj
Eigenfunction expansions in ℝⁿ
Proceedings of the American Mathematical Society, 2011 The main goal of this paper is to extend in R n \mathbb {R}^n
GRAMTCHEV, TODOR VASSILEV +2 more
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Simple normal crossing Kähler–Einstein metrics and RCD spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract We show that Kähler–Einstein metrics with cone singularities along simple normal crossing (SNC) divisors define Riemannian Curvature Dimension (RCD) spaces, both in the compact setting and in certain non‐compact cases, thereby producing many examples of Einstein RCD spaces. In particular, we show the existence of smooth non‐compact 4‐manifolds
Martin de Borbon, Cristiano Spotti
wiley +1 more source
Generalised spin Calogero–Moser systems from Cherednik algebras
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Integrable spin Calogero–Moser type systems with non‐symmetric configurations of the singularities of the potential appeared in the work of Chalykh, Goncharenko and Veselov in 1999. We obtain various generalisations of these examples by making use of the representation theory of Cherednik algebras.
Misha Feigin +2 more
wiley +1 more source
The role of the curvature of a surface in the shape of the solutions to elliptic equations
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract We prove the uniqueness and nondegeneracy of the critical point of positive, semistable solutions of −Δu=f(u)$-\Delta u=f(u)$ with Dirichlet boundary conditions for a class of star‐shaped domains on the sphere and in the hyperbolic plane satisfying a geometric condition.
Francesca Gladiali +2 more
wiley +1 more source
Improvement of Pointwise Bounds for Eigenfunctions in the Quantum Completely Integrable System
MathematicsOn a compact n-dimensional Riemannian manifold without boundary (M,g), it is well-known that the L2-normalized Laplace eigenfunctions with semiclassical parameter h satisfy the universal L∞ growth bound of O(h1−n2)ash→0+.
Xianchao Wu
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An Observation on Eigenfunctions of the Laplacian
La MatematicaIn his seminal 1943 paper F. Rellich proved that, in the complement of a cavity $Ω= \{x\in \mathbb R^n\mid |x|>R_0\}$, there exist no nontrivial solution $f$ of the Helmholtz equation $Δf = - λf$, when $λ>0$, such that $\int_Ω |f|^2 dx < \infty$.
Banerjee, Agnid, Garofalo, Nicola
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Boundary value problems for essentially-loaded parabolic equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper we investigate the first boundary value problem for essentially loaded equation of heat conduction, i.e. when laden terms are derivatives for any finite order.
M.I. Ramazanov +4 more
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