Proceedings of the Royal Society of Edinburgh Section A-Mathematics

Article	Citations
Global well-posedness and decay estimates for three-dimensional compressible Navier–Stokes–Allen–Cahn systems	25
On the global existence of solutions to chemotaxis system for two populations in dimension two	17
Brownian motion on the golden ratio Sierpinski gasket	13
Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold	12
PRM volume 154 issue 2 Cover and Front matter	9
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations	8
A criterion to detect a non-trivial homology of an invariant set of a flow in $\mathbb{R}^3$	8
PRM volume 154 issue 4 Cover and Back matter	8
Tropical graph curves	7
Lorentz and Gale–Ryser theorems on general measure spaces	7
Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy	7
On the linearized Whitham–Broer–Kaup system on bounded domains	7
Maximal noncompactness of limiting Sobolev embeddings	7
PRM volume 152 issue 2 Cover and Front matter	7
Fixed point sets and the fundamental group II: Euler characteristics	7
Weighted estimates for Bochner–Riesz operators on Lorentz spaces	7
On mixed local–nonlocal problems with Hardy potential	6
On the L-polynomials of curves over finite fields	6
A note on the differentiability of discrete Palmer's linearization	6
The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates	6
The ground states of quasilinear Hénon equation with double weighted critical exponents	5
Index estimates for closed minimal submanifolds of the sphere	5
Series expansion of Leray–Trudinger inequality	5
Solutions with prescribed mass for L2-supercritical NLS equations under Neumann boundary conditions	5
Parrondo's paradox for homoeomorphisms	5

Discs area-minimizing in mean convex Riemanniann-manifolds	5
Principal bundle structure of the space of metric measure spaces	5
Structural stability of transonic shock flows with an external force	5
On regular algebraic hypersurfaces with non-zero constant mean curvature in Euclidean spaces	5
Global regularity for the micropolar Rayleigh-Bénard problem with only velocity dissipation	5
Remarks on a formula of Ramanujan	5
Commutativity properties of Quinn spectra	4
PRM volume 153 issue 4 Cover and Back matter	4
Anisotropic Gauss curvature flows and their associated Dual Orlicz-Minkowski problems	4
Discrete heat equation with irregular thermal conductivity and tempered distributional data	4
On a localization-in-frequency approach for a class of elliptic problems with singular boundary data	4
The rigidity of filtered colimits of n-cluster tilting subcategories	4
PRM volume 152 issue 1 Cover and Front matter	4
On conformally flat minimal Legendrian submanifolds in the unit sphere	4
Finite-time blow-up in a repulsive chemotaxis-consumption system	4
Fourier multipliers for Hardy spaces on graded Lie groups	4
On the energy equality for very weak solutions to 3D MHD equations	4
Singular SPDEs on homogeneous lie groups	3
Multiplicity of positive solutions for a class of nonhomogeneous elliptic equations in the hyperbolic space	3
Geometry of tropical extensions of hyperfields	3
On the optimization of the first weighted eigenvalue	3
Maximizing weighted sums of binomial coefficients using generalized continued fractions	3
Fractional interpolation inequality and radially symmetric ground states	3
Isometric dilations for representations of product systems	3
Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers	3
Anisotropic weighted isoperimetric inequalities for star-shaped and F-mean convex hypersurface	3
Absence of singularities in solutions for the compressible Euler equations with source terms in	3
Borderline gradient continuity for fractional heat type operators	3
Normalized ground state solutions for critical growth Schrödinger equations with Hardy potential	3
Cyclic parallel structure Jacobi operator for real hypersurfaces in complex two-plane Grassmannians	3
Flat model structures and Gorenstein objects in functor categories	2
On a class of special Euler–Lagrange equations	2
The affirmative answer to Singer's conjecture on the algebraic transfer of rank four	2
Birkhoff spectrum for diagonally self-affine sets and digit frequencies for GLS systems with redundancy	2
A remark on the well-posedness of the modified KdV equation in L2	2
Inverse nodal problems on quantum tree graphs	2
Multiscale linearization of nonautonomous systems	2
Zero-electron-mass limit of the compressible Navier–Stokes–Poisson equations with well/ill-prepared initial data	2
The fundamental gap of a kind of sub-elliptic operator	2
Vanishing of Nil-terms and negative K-theory for additive categories	2
PRM volume 152 issue 6 Cover and Back matter	2
Travelling wave fronts of Lotka-Volterra reaction-diffusion system in the weak competition case	2
Optimal inverse problems of potentials for two given eigenvalues of Sturm–Liouville problems	2
Bifurcations and pattern formation in a host–parasitoid model with nonlocal effect	2
Topological regularity of isoperimetric sets in PI spaces having a deformation property	2
Fractional time differential equations as a singular limit of the Kobayashi–Warren–Carter system	2
Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus	2
On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations	2
PRM volume 154 issue 5 Cover and Back matter	2
Additive energies of subsets of discrete cubes	2

On the fractional Lazer-McKenna conjecture with critical growth	2
On the oscillation of certain second-order linear differential equations	2
PRM volume 152 issue 6 Cover and Front matter	2
Arens regularity of ideals of the group algebra of a compact Abelian group	2
Large deviation principle for slow-fast rough differential equations via controlled rough paths	2
Morse theory of Bestvina–Brady type for posets and matchings	2
Dual exponential polynomials and a problem of Ozawa	2
Equivariant parametrized topological complexity	2
Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system	2
The localisation theorem for the K-theory of stable ∞-categories	2
Singularities of 3-parameter line congruences in	2
Avoidance loci and tropicalizations of real bitangents to plane quartics	2
Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations	2
Stability and exponential decay for magnetohydrodynamic equations	2
Symmetrized and non-symmetrizedasymptotic mean value Laplacian in metric measure spaces	2
Weighted norm inequalities for positive operators restricted on the cone of λ-quasiconcave functions — Corrigendum	2
Toeplitz determinants with a one-cut regular potential and Fisher–Hartwig singularities I. Equilibrium measure supported on the unit circle	2
The homotopy decomposition of the suspension of a non-simply-connected five-manifold – ADDENDUM	2
On complete submanifolds with parallel normalized mean curvature in product spaces	2
Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra	2
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes	2
Linear actions of $\mathbb {Z}/p\times \mathbb {Z}/p$ on $S^{2n-1}\times S^{2n-1}$	2
PRM volume 153 issue 6 Cover and Back matter	2
Some results for semi-stable radial solutions of k-Hessian equations with weight on ℝn	2
Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres	2
Quasi-hereditary covers of Temperley–Lieb algebras and relative dominant dimension	2
On the number of conjugacy classes of a primitive permutation group	2
Index estimates of compact hypersurfaces in smooth metric measure spaces	2
Surfaces of prescribed linear Weingarten curvature in	1
Brittle fracture in linearly elastic plates	1
Subsymmetric exchanged braids and the Burau matrix	1
Relaxation for an optimal design problem inBD(Ω)	1
Convergence for the fractional p-Laplacian and its application to the extended Nirenberg problem	1
PRM volume 151 issue 5 Cover and Front matter	1
Nonlinear elasticity with vanishing nonlocal self-repulsion	1
A note on right-nil and strong-nil skew braces	1
Global index of real polynomials	1
A note on monotonicity and Bochner formulas in Carnot groups	1
Periodic solutions of four-order degenerate differential equations with finite delay in vector-valued function spaces	1
Eternal solutions to a porous medium equation with strong non-homogeneous absorption. Part I: radially non-increasing profiles	1
Semilinear elliptic equations involving power nonlinearities and Hardy potentials with boundary singularities	1
Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth	1
Sharp conditions for the validity of the Bourgain–Brezis–Mironescu formula	1
Girth, magnitude homology and phase transition of diagonality	1
Regularity of quasigeodesics characterizes hyperbolicity	1
Topological volumes of fibrations: a note on open covers	1
Pointwise Assouad dimension for measures	1
On Lebesgue points of entropy solutions to the eikonal equation	1
PRM volume 153 issue 5 Cover and Back matter	1
Spreading speeds and traveling wave solutions of diffusive vector-borne disease models without monotonicity	1
Involutivity of distributions at points of superdense tangency with respect to normal currents	1
Fence of saddle solutions of the Allen–Cahn equation in the plane	1
Well-posedness of the free surface problem on a Newtonian fluid between cylinders rotating at different speeds	1
Weak weight-semi-greedy Markushevich bases	1
On generalized eigenvalue problems of fractional (p, q)-Laplace operator with two parameters – CORRIGENDUM	1
Measure data elliptic problems with generalized Orlicz growth	1
Propagation of minima for nonlocal operators	1
RETRACTED - Compact reduction in Lipschitz-free spaces	1
Liouville property and quasi-isometries on negatively curved Riemannian surfaces	1
A weighted Trudinger–Moser inequalities and applications to some weighted $(N,q)-$Laplacian equation in $\mathbb {R}^N$ with new exponential growth conditions	1
Nonrigidity of flat ribbons	1
Two dynamical approaches to the notion of exponential separation for random systems of delay differential equations	1
Decay of weak solutions to Vlasov equation coupled with a shear thickening fluid	1
Sharp Sobolev regularity of restricted X-ray transforms	1
Equivalence between the functional equation and Voronoï-type summation identities for a class of L-functions	1
Iterates of meromorphic functions on escaping Fatou components	1
On the existence of a nodal solution for p-Laplacian equations depending on the gradient	1
Equivariant covering type and the number of vertices in equivariant triangulations	1
L p positivity preservation and self-adjointness of Schrödinger operators on incomplete Riemannian manifolds	1
Synthetic versus distributional lower Ricci curvature bounds	1
Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant	1
PRM volume 153 issue 3 Cover and Back matter	1
Fixed point conditions for non-coprime actions	1
Connected sums of codimension two locally flat submanifolds	1
Generic properties of topological groups	1
Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group	1
PRM volume 153 issue 5 Cover and Front matter	1
Shape index, Brouwer degree and Poincaré–Hopf theorem	1
3D Navier–Stokes–Voigt equations with damping and double delays on unbounded domains: Well-posedness, pullback attractors, and limit measures	1
On a backward problem for nonlinear time fractional wave equations	1

Stabilization of the Kawahara–Kadomtsev–Petviashvili equation with time-delayed feedback	1
Double EPW sextics associated with Gushel–Mukai surfaces	1
PRM volume 152 issue 5 Cover and Back matter	1
Spreading primitive groups of diagonal type do not exist	1
Unconditional convergence of eigenfunction expansions for abstract and elliptic operators	1
PRM volume 154 issue 3 Cover and Back matter	1
Topologically free actions and ideals in twisted Banach algebra crossed products	1
The non-autonomous Navier–Stokes–Brinkman–Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors	1
Lifting of recollements and gluing of partial silting sets	1
Deformations of corank 1 frontals	1
Rotating periodic solutions for p-Laplacian differential systems	1
Trend to equilibrium solution for the discrete Safronov–Dubovskiĭ aggregation equation with forcing	1
Skew group categories, algebras associated to Cartan matrices and folding of root lattices	1
Spectral asymptotics for linear elasticity: the case of mixed boundary conditions	1
Large deviation principles of 2D stochastic Navier–Stokes equations with Lévy noises	1
Andrew Ranicki	1
On Fock covariance for product systems and the reduced Hao–Ng isomorphism problem by discrete actions	1
Nonchaotic N-expansive homeomorphisms	1
Order continuity of Arens extensions of regular multilinear operators	1
The structure of finite groups whose elements outside a normal subgroup have prime power orders	1
Torsion in classifying spaces of gauge groups	1
Error bounds for the asymptotic expansions of the Hermite polynomials	1
Every locally compact group is the outer automorphism group of a II1 factor	1
On the topological complexity and zero-divisor cup-length of real Grassmannians	1
Harnack inequality for the nonlocal equations with general growth	1
Corrigendum: Dynamics of a susceptible—infected—susceptible epidemic reaction—diffusion model	1
Distribution and moments of the error term in the lattice point counting problem for three-dimensional Cygan–Korányi balls	1
Adhesion and volume filling in one-dimensional population dynamics under Dirichlet boundary condition	1
Delta-invariants of complete intersection log del Pezzo surfaces	1
Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups	1
From the Mayer–Vietoris spectral sequence to überhomology	1
The monostable cooperative system with nonlocal diffusion and free boundaries	1
Strongly outer actions of certain torsion-free amenable groups on the Razak–Jacelon algebra	1
On cohomogeneity one Hermitian non-Kähler metrics	1
Non-Hilbertian tangents to Hilbertian spaces	1
Optimal Hardy-weights for the (p, A)-Laplacian with a potential term	1
Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms	1