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
On the global existence of solutions to chemotaxis system for two populations in dimension two	8
Brownian motion on the golden ratio Sierpinski gasket	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
Tropical graph curves	5
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
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
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
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
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
Arens regularity of ideals of the group algebra of a compact Abelian group	2
On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations	2
The localisation theorem for the K-theory of stable ∞-categories	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
Inverse nodal problems on quantum tree graphs	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
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
PRM volume 154 issue 5 Cover and Back matter	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
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
The homotopy decomposition of the suspension of a non-simply-connected five-manifold – ADDENDUM	2
Travelling wave fronts of Lotka-Volterra reaction-diffusion system in the weak competition case	2
PRM volume 153 issue 6 Cover and Back matter	1
Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups	1
Large deviation principle for slow-fast rough differential equations via controlled rough paths	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
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes	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
Topological regularity of isoperimetric sets in PI spaces having a deformation property	1
Order continuity of Arens extensions of regular multilinear operators	1
Surfaces of prescribed linear Weingarten curvature in	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
Brittle fracture in linearly elastic plates	1
Nonrigidity of flat ribbons	1
Skew group categories, algebras associated to Cartan matrices and folding of root lattices	1
Equivariant covering type and the number of vertices in equivariant triangulations	1
Error bounds for the asymptotic expansions of the Hermite polynomials	1
On cohomogeneity one Hermitian non-Kähler metrics	1
Andrew Ranicki	1
Double EPW sextics associated with Gushel–Mukai surfaces	1
Torsion in classifying spaces of gauge groups	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
Sharp conditions for the validity of the Bourgain–Brezis–Mironescu formula	1
Stabilization of the Kawahara–Kadomtsev–Petviashvili equation with time-delayed feedback	1
On Lebesgue points of entropy solutions to the eikonal equation	1
Regularity of quasigeodesics characterizes hyperbolicity	1
PRM volume 153 issue 5 Cover and Back matter	1
Weak weight-semi-greedy Markushevich bases	1
Corrigendum: Dynamics of a susceptible—infected—susceptible epidemic reaction—diffusion model	1
RETRACTED - Compact reduction in Lipschitz-free spaces	1
Involutivity of distributions at points of superdense tangency with respect to normal currents	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
Sharp Sobolev regularity of restricted X-ray transforms	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
Periodic pattern formation in the coupled chemotaxis-(Navier–)Stokes system with mixed nonhomogeneous boundary conditions – CORRIGENDUM	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
Connected sums of codimension two locally flat submanifolds	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
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
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
On the topological complexity and zero-divisor cup-length of real Grassmannians	1
Subsymmetric exchanged braids and the Burau matrix	1
The fundamental gap of a kind of sub-elliptic operator	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
Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group	1

Optimal Hardy-weights for the (p, A)-Laplacian with a potential term	1
Delta-invariants of complete intersection log del Pezzo surfaces	1
3D Navier–Stokes–Voigt equations with damping and double delays on unbounded domains: Well-posedness, pullback attractors, and limit measures	1
Topological volumes of fibrations: a note on open covers	1
Lifting of recollements and gluing of partial silting sets	1
Global index of real polynomials	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
Equivalence between the functional equation and Voronoï-type summation identities for a class of L-functions	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
Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms	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
Measure data elliptic problems with generalized Orlicz growth	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
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
Finite presentability of twisted Brin–Thompson groups	0
On k-folding map-germs and hidden symmetries of surfaces in the Euclidean 3-space	0
Partitions with parts separated by parity: conjugation, congruences and the mock theta functions	0
Coupling capacity in C*-algebras	0
Bifurcation of the travelling wave solutions in a perturbed (1 + 1)-dimensional dispersive long wave equation via a geometric approach	0
Global existence and large time behaviour for the pressureless Euler–Naver–Stokes system in ℝ3	0
Equivariant stable sheaves and toric GIT	0
On stable commutator length of non-filling curves in surfaces	0
PRM volume 152 issue 3 Cover and Back matter	0
Integral representation of hydraulic permeability	0
Schatten class composition operators on the Hardy space	0
Arithmetic Ramsey theory over the primes	0
PRM volume 154 issue 4 Cover and Front matter	0
Effect of the location of a protection zone in a reaction–diffusion model	0
Rigidity of mapping class groups MOD powers of twists	0
PRM volume 151 issue 3 Cover and Front matter	0
Formation behaviour of the kinetic Cucker–Smale model with non-compact support	0
Γ-convergence and stochastic homogenization of degenerate integral functionals in weighted Sobolev spaces	0
Stationary solutions to the Keller–Segel equation on curved planes	0
On Riemann–Hilbert problem and multiple high-order pole solutions to the cubic Camassa–Holm equation	0
Isotypical components of the homology of ICIS and images of deformations of map germs	0
Reducing subspaces for rank-one perturbations of normal operators	0
On a critical time-harmonic Maxwell equation in nonlocal media	0
On the spectrum of non-self-adjoint Dirac operators with quasi-periodic boundary conditions	0
CYT and SKT manifolds with parallel Bismut torsion	0
Multiple solutions for some classes of non-linear elliptic equations with variable exponents	0
The homotopy classification of four-dimensional toric orbifolds	0
Periodic solutions for one-dimensional nonlinear nonlocal problem with drift including singular nonlinearities	0
Non-existence theorems for quasilinear elliptic equations with weights	0
Robustness of nonuniform mean-square exponential dichotomies	0
Spectral mapping theorems for essential spectra and regularized functional calculi	0
PRM volume 152 issue 4 Cover and Front matter	0
Uniqueness of ground states to fractional nonlinear elliptic equations with harmonic potential	0
Reflexive homology	0
Cyclicity of period annulus for a class of quadratic reversible systems with a nonrational first integral	0
A sharp threshold for Trudinger–Moser type inequalities with logarithmic kernels in dimension N	0
On the Hilbert scheme of smooth curves of degree d = 15 in $\mathbb{P}^5$	0
Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation	0
Stability properties of multidimensional symmetric hyperbolic systems with damping, differential constraints and delay	0
The commutators of multilinear Calderón–Zygmund operators on weighted Hardy spaces	0
On classification of singular matrix difference equations of mixed order	0
Newton–Maclaurin type inequalities for linear combinations of elementary symmetric functions	0
Groundstates of the planar Schrödinger–Poisson system with potential well and lack of symmetry	0
Intersection configurations in free and free times free-abelian groups	0
PRM volume 152 issue 4 Cover and Back matter	0
Various topological complexities of small covers and real Bott manifolds	0
Lyapunov stability of non-isolated equilibria for strongly irreversible Allen–Cahn equations	0
Right-angled Artin groups, polyhedral products and the -generating function	0
Is the Sacker–Sell type spectrum equal to the contractible set?	0
Asymptotic profiles of a nonlocal dispersal SIS epidemic model with saturated incidence	0
The family signature theorem	0
Finely quasiconformal mappings	0
PRM volume 152 issue 3 Cover and Front matter	0
Remark on the local well-posedness for NLS with the modulated dispersion	0
A Lebesgue–Lusin property for linear operators of first and second order	0
Analytic partial-integrability of a symmetric Hopf-zero degeneracy	0
Spiraling solutions of nonlinear Schrödinger equations	0
Local regularity for nonlocal double phase equations in the Heisenberg group	0
Divergence of mock Fourier series for spectral measures	0
Desingularization of 2D elliptic free-boundary problem with non-autonomous nonlinearity	0
Rigidity for the perimeter inequality under Schwarz symmetrization	0
Generic ill-posedness of the energy–momentum equations and differential inclusions	0
Necessary and sufficient conditions for ground state solutions to planar Kirchhoff-type equations	0
Global centres in a class of quintic polynomial differential systems	0
The exponential ordering for nonautonomous delay systems with applications to compartmental Nicholson systems	0
Equivalent criterion for the grand Riemann hypothesis associated with Maass cusp forms	0
PRM volume 152 issue 2 Cover and Back matter	0
Variational characterizations of weighted Hardy spaces and weighted spaces	0
A new inner approach for differential subordinations	0
Nonexistence of anti-symmetric solutions for fractional Hardy–Hénon system	0
Invariant set generated by a nonreal number is everywhere dense	0
Nonlocal anisotropic interactions of Coulomb type	0
Integrability of special quadratic systems with invariant hyperbolas	0