Results 71 to 80 of about 13,857 (195)

Super-entropic black holes in gravity’s rainbow and determining constraints on rainbow functions

European Physical Journal C: Particles and Fields
This paper is motivated by the application of the inverse isoperimetric inequality to establish constraints on the parameters of gravity’s rainbow. We investigate the thermodynamic (in)stability conditions for d-dimensional energy-dependent black holes ...
Behzad Eslam Panah, Narges Heidari, Mana Soleimani, Maryam Kaveh   +3 more
doaj   +1 more source

Curvature‐dimension condition of sub‐Riemannian α$\alpha$‐Grushin half‐spaces

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We provide new examples of sub‐Riemannian manifolds with boundary equipped with a smooth measure that satisfy the RCD(K,N)$\mathsf {RCD}(K, N)$ condition. They are constructed by equipping the half‐plane, the hemisphere and the hyperbolic half‐plane with a two‐dimensional almost‐Riemannian structure and a measure that vanishes on their ...
Samuël Borza, Kenshiro Tashiro
wiley   +1 more source

Decorated phases in triblock copolymers: Zeroth‐ and first‐order analysis

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study a two‐dimensional inhibitory ternary system characterized by a free energy functional that combines an interface short‐range interaction energy promoting microdomain growth with a Coulomb‐type long‐range interaction energy that prevents microdomains from unlimited spreading.
Stanley Alama, Lia Bronsard, Xinyang Lu, Chong Wang   +3 more
wiley   +1 more source

Horndeski gravity and the violation of reverse isoperimetric inequality

European Physical Journal C: Particles and Fields, 2017
We consider Einstein–Horndeski–Maxwell gravity, together with a cosmological constant and multiple Horndeski axions. We construct charged AdS planar black holes in general dimensions where the Horndeski axions span over the planar directions.
Xing-Hui Feng, Hai-Shan Liu, Wen-Tian Lu, H. Lü   +3 more
doaj   +1 more source

Mean‐field behaviour of the random connection model on hyperbolic space

Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract We study the random connection model on hyperbolic space Hd${\mathbb {H}^d}$ in dimension d=2,3$d=2,3$. Vertices of the spatial random graph are given as a Poisson point process with intensity λ>0$\lambda >0$. Upon variation of λ$\lambda$, there is a percolation phase transition: there exists a critical value λc>0$\lambda _c>0$ such that for λ<
Matthew Dickson, Markus Heydenreich
wiley   +1 more source

Isoperimetric inequality for div-curl fields

Journal of Inequalities and Applications, 2002
Let be a Hölder conjugate pair of vector fields, both belonging to the space . Suppose that div and curl . In this paper we prove the following isoperimetric type inequality where and .
di Napoli Antonia Passarelli, Carozza Menita   +1 more
doaj  

Holography, probe branes and isoperimetric inequalities

Physics Letters B, 2015
In many instances of holographic correspondences between a d-dimensional boundary theory and a (d+1)-dimensional bulk, a direct argument in the boundary theory implies that there must exist a simple and precise relation between the Euclidean on-shell ...
Frank Ferrari, Antonin Rovai
doaj   +1 more source

A note on Laplacian bounds, deformation properties, and isoperimetric sets in metric measure spaces

Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract In the setting of length PI spaces satisfying a suitable deformation property, it is known that each isoperimetric set has an open representative. In this paper, we construct an example of a length PI space (without the deformation property) where an isoperimetric set does not have any representative whose topological interior is nonempty ...
Enrico Pasqualetto, Tapio Rajala
wiley   +1 more source

Orlicz Mean Dual Affine Quermassintegrals

Journal of Function Spaces, 2018
Our main aim is to generalize the mean dual affine quermassintegrals to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the first Orlicz variation of the mean dual ...
Chang-Jian Zhao, Wing-Sum Cheung
doaj   +1 more source

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, Francesco Esposito, Alberto Roncoroni, Eugenio Vecchi   +3 more
wiley   +1 more source