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	24
Lorentz and Gale–Ryser theorems on general measure spaces	16
Maximal noncompactness of limiting Sobolev embeddings	12
Weighted estimates for Bochner–Riesz operators on Lorentz spaces	12
Brownian motion on the golden ratio Sierpinski gasket	8
On the global existence of solutions to chemotaxis system for two populations in dimension two	8
A criterion to detect a non-trivial homology of an invariant set of a flow in $\mathbb{R}^3$	7
Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold	7
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations	7
PRM volume 154 issue 4 Cover and Back matter	7
Fixed point sets and the fundamental group II: Euler characteristics	7
PRM volume 154 issue 2 Cover and Front matter	7
On the linearized Whitham–Broer–Kaup system on bounded domains	6
Remarks on a formula of Ramanujan	6
Discs area-minimizing in mean convex Riemanniann-manifolds	6
Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy	6
Index estimates for closed minimal submanifolds of the sphere	6
PRM volume 152 issue 2 Cover and Front matter	5
A note on the differentiability of discrete Palmer's linearization	5
Global regularity for the micropolar Rayleigh-Bénard problem with only velocity dissipation	5
On regular algebraic hypersurfaces with non-zero constant mean curvature in Euclidean spaces	5
On mixed local–nonlocal problems with Hardy potential	5
On the L-polynomials of curves over finite fields	5
Structural stability of transonic shock flows with an external force	5
Parrondo's paradox for homoeomorphisms	5

The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates	5
Solutions with prescribed mass for L2-supercritical NLS equations under Neumann boundary conditions	5
Tropical graph curves	5
Discrete heat equation with irregular thermal conductivity and tempered distributional data	4
Commutativity properties of Quinn spectra	4
On the energy equality for very weak solutions to 3D MHD equations	4
Finite-time blow-up in a repulsive chemotaxis-consumption system	4
Series expansion of Leray–Trudinger inequality	4
The ground states of quasilinear Hénon equation with double weighted critical exponents	4
On conformally flat minimal Legendrian submanifolds in the unit sphere	4
PRM volume 153 issue 4 Cover and Back matter	4
Principal bundle structure of the space of metric measure spaces	4
On a localization-in-frequency approach for a class of elliptic problems with singular boundary data	4
Fourier multipliers for Hardy spaces on graded Lie groups	4
Anisotropic Gauss curvature flows and their associated Dual Orlicz-Minkowski problems	3
Fractional interpolation inequality and radially symmetric ground states	3
Isometric dilations for representations of product systems	3
On the optimization of the first weighted eigenvalue	3
Absence of singularities in solutions for the compressible Euler equations with source terms in	3
PRM volume 152 issue 1 Cover and Front matter	3
Multiplicity of positive solutions for a class of nonhomogeneous elliptic equations in the hyperbolic space	3
Borderline gradient continuity for fractional heat type operators	3
Normalized ground state solutions for critical growth Schrödinger equations with Hardy potential	3
The rigidity of filtered colimits of n-cluster tilting subcategories	3
Geometry of tropical extensions of hyperfields	3
Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers	3
Singular SPDEs on homogeneous lie groups	3
Maximizing weighted sums of binomial coefficients using generalized continued fractions	3
Arens regularity of ideals of the group algebra of a compact Abelian group	2
The localisation theorem for the K-theory of stable ∞-categories	2
On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations	2
Anisotropic weighted isoperimetric inequalities for star-shaped and F-mean convex hypersurface	2
Birkhoff spectrum for diagonally self-affine sets and digit frequencies for GLS systems with redundancy	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
Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra	2
Avoidance loci and tropicalizations of real bitangents to plane quartics	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 the number of conjugacy classes of a primitive permutation group	2
The homotopy decomposition of the suspension of a non-simply-connected five-manifold – ADDENDUM	2
Morse theory of Bestvina–Brady type for posets and matchings	2
Linear actions of $\mathbb {Z}/p\times \mathbb {Z}/p$ on $S^{2n-1}\times S^{2n-1}$	2
The affirmative answer to Singer's conjecture on the algebraic transfer of rank four	2
Equivariant parametrized topological complexity	2
Bifurcations and pattern formation in a host–parasitoid model with nonlocal effect	2
Cyclic parallel structure Jacobi operator for real hypersurfaces in complex two-plane Grassmannians	2
Zero-electron-mass limit of the compressible Navier–Stokes–Poisson equations with well/ill-prepared initial data	2
Some results for semi-stable radial solutions of k-Hessian equations with weight on ℝn	2
Index estimates of compact hypersurfaces in smooth metric measure spaces	2

Multiscale linearization of nonautonomous systems	2
PRM volume 152 issue 6 Cover and Front matter	2
Inverse nodal problems on quantum tree graphs	2
Toeplitz determinants with a one-cut regular potential and Fisher–Hartwig singularities I. Equilibrium measure supported on the unit circle	2
On complete submanifolds with parallel normalized mean curvature in product spaces	2
Vanishing of Nil-terms and negative K-theory for additive categories	2
Quasi-hereditary covers of Temperley–Lieb algebras and relative dominant dimension	2
A remark on the well-posedness of the modified KdV equation in L2	2
Additive energies of subsets of discrete cubes	2
On the oscillation of certain second-order linear differential equations	2
Travelling wave fronts of Lotka-Volterra reaction-diffusion system in the weak competition case	2
Flat model structures and Gorenstein objects in functor categories	2
Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system	2
Singularities of 3-parameter line congruences in	2
On the fractional Lazer-McKenna conjecture with critical growth	2
PRM volume 154 issue 5 Cover and Back matter	2
Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations	1
Well-posedness of the free surface problem on a Newtonian fluid between cylinders rotating at different speeds	1
PRM volume 152 issue 6 Cover and Back matter	1
Spectral asymptotics for linear elasticity: the case of mixed boundary conditions	1
Subsymmetric exchanged braids and the Burau matrix	1
On the topological complexity and zero-divisor cup-length of real Grassmannians	1
Trend to equilibrium solution for the discrete Safronov–Dubovskiĭ aggregation equation with forcing	1
Distribution and moments of the error term in the lattice point counting problem for three-dimensional Cygan–Korányi balls	1
The fundamental gap of a kind of sub-elliptic operator	1
Optimal Hardy-weights for the (p, A)-Laplacian with a potential term	1
3D Navier–Stokes–Voigt equations with damping and double delays on unbounded domains: Well-posedness, pullback attractors, and limit measures	1
Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group	1
Lifting of recollements and gluing of partial silting sets	1
Global index of real polynomials	1
Topological volumes of fibrations: a note on open covers	1
Liouville property and quasi-isometries on negatively curved Riemannian surfaces	1
The monostable cooperative system with nonlocal diffusion and free boundaries	1
On a backward problem for nonlinear time fractional wave equations	1
Strongly outer actions of certain torsion-free amenable groups on the Razak–Jacelon algebra	1
A note on right-nil and strong-nil skew braces	1
Equivalence between the functional equation and Voronoï-type summation identities for a class of L-functions	1
Convergence for the fractional p-Laplacian and its application to the extended Nirenberg problem	1
On the existence of a nodal solution for p-Laplacian equations depending on the gradient	1
Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms	1
Dual exponential polynomials and a problem of Ozawa	1
Two dynamical approaches to the notion of exponential separation for random systems of delay differential equations	1
Measure data elliptic problems with generalized Orlicz growth	1
Stability and exponential decay for magnetohydrodynamic equations	1
Synthetic versus distributional lower Ricci curvature bounds	1
Optimal inverse problems of potentials for two given eigenvalues of Sturm–Liouville problems	1
PRM volume 153 issue 3 Cover and Back matter	1
PRM volume 153 issue 6 Cover and Back matter	1
Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups	1
Rotating periodic solutions for p-Laplacian differential systems	1
Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant	1
Large deviation principle for slow-fast rough differential equations via controlled rough paths	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
Propagation of minima for nonlocal operators	1
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes	1
Order continuity of Arens extensions of regular multilinear operators	1
Surfaces of prescribed linear Weingarten curvature in	1
Topological regularity of isoperimetric sets in PI spaces having a deformation property	1
Deformations of corank 1 frontals	1
Unconditional convergence of eigenfunction expansions for abstract and elliptic operators	1
PRM volume 154 issue 3 Cover and Back matter	1
Nonrigidity of flat ribbons	1
Skew group categories, algebras associated to Cartan matrices and folding of root lattices	1
Brittle fracture in linearly elastic plates	1
Delta-invariants of complete intersection log del Pezzo surfaces	1
Error bounds for the asymptotic expansions of the Hermite polynomials	1
On cohomogeneity one Hermitian non-Kähler metrics	1
Equivariant covering type and the number of vertices in equivariant triangulations	1
Double EPW sextics associated with Gushel–Mukai surfaces	1
Torsion in classifying spaces of gauge groups	1
Andrew Ranicki	1
Non-Hilbertian tangents to Hilbertian spaces	1
Fixed point conditions for non-coprime actions	1
On a class of special Euler–Lagrange equations	1
PRM volume 151 issue 3 Cover and Back matter	1
Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres	1
Decay of weak solutions to Vlasov equation coupled with a shear thickening fluid	1
PRM volume 153 issue 5 Cover and Front matter	1
Nonchaotic N-expansive homeomorphisms	1
Stabilization of the Kawahara–Kadomtsev–Petviashvili equation with time-delayed feedback	1

On Lebesgue points of entropy solutions to the eikonal equation	1
Sharp conditions for the validity of the Bourgain–Brezis–Mironescu formula	1
PRM volume 153 issue 5 Cover and Back matter	1
Weak weight-semi-greedy Markushevich bases	1
Regularity of quasigeodesics characterizes hyperbolicity	1
RETRACTED - Compact reduction in Lipschitz-free spaces	1
Involutivity of distributions at points of superdense tangency with respect to normal currents	1
Corrigendum: Dynamics of a susceptible—infected—susceptible epidemic reaction—diffusion model	1
Relaxation for an optimal design problem inBD(Ω)	1
The non-autonomous Navier–Stokes–Brinkman–Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors	1
Large deviation principles of 2D stochastic Navier–Stokes equations with Lévy noises	1
On generalized eigenvalue problems of fractional (p, q)-Laplace operator with two parameters – CORRIGENDUM	1
PRM volume 151 issue 5 Cover and Front matter	1
Sharp Sobolev regularity of restricted X-ray transforms	1
Fence of saddle solutions of the Allen–Cahn equation in the plane	1
Topologically free actions and ideals in twisted Banach algebra crossed products	1
Periodic pattern formation in the coupled chemotaxis-(Navier–)Stokes system with mixed nonhomogeneous boundary conditions – CORRIGENDUM	1
Eternal solutions to a porous medium equation with strong non-homogeneous absorption. Part I: radially non-increasing profiles	1
Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth	1
Connected sums of codimension two locally flat submanifolds	1
PRM volume 152 issue 5 Cover and Back matter	1
Periodic solutions of four-order degenerate differential equations with finite delay in vector-valued function spaces	1