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
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
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations	8
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
Tropical graph curves	7
Lorentz and Gale–Ryser theorems on general measure spaces	7
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
On mixed local–nonlocal problems with Hardy potential	6
On the L-polynomials of curves over finite fields	6
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
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
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
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
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
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 time differential equations as a singular limit of the Kobayashi–Warren–Carter system	2
Linear actions of $\mathbb {Z}/p\times \mathbb {Z}/p$ on $S^{2n-1}\times S^{2n-1}$	2
Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus	2
Some results for semi-stable radial solutions of k-Hessian equations with weight on ℝn	2
On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations	2
Quasi-hereditary covers of Temperley–Lieb algebras and relative dominant dimension	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
PRM volume 152 issue 6 Cover and Front matter	2
Large deviation principle for slow-fast rough differential equations via controlled rough paths	2
Dual exponential polynomials and a problem of Ozawa	2
Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system	2
Inverse nodal problems on quantum tree graphs	2
Singularities of 3-parameter line congruences in	2
Zero-electron-mass limit of the compressible Navier–Stokes–Poisson equations with well/ill-prepared initial data	2
Avoidance loci and tropicalizations of real bitangents to plane quartics	2
Vanishing of Nil-terms and negative K-theory for additive categories	2
Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations	2
Travelling wave fronts of Lotka-Volterra reaction-diffusion system in the weak competition case	2

Stability and exponential decay for magnetohydrodynamic equations	2
Bifurcations and pattern formation in a host–parasitoid model with nonlocal effect	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
On complete submanifolds with parallel normalized mean curvature in product spaces	2
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes	2
PRM volume 153 issue 6 Cover and Back matter	2
Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres	2
On the number of conjugacy classes of a primitive permutation group	2
On the oscillation of certain second-order linear differential equations	2
Index estimates of compact hypersurfaces in smooth metric measure spaces	2
Arens regularity of ideals of the group algebra of a compact Abelian group	2
Flat model structures and Gorenstein objects in functor categories	2
Morse theory of Bestvina–Brady type for posets and matchings	2
On a class of special Euler–Lagrange equations	2
Equivariant parametrized topological complexity	2
The localisation theorem for the K-theory of stable ∞-categories	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
Multiscale linearization of nonautonomous systems	2
The fundamental gap of a kind of sub-elliptic operator	2
PRM volume 152 issue 6 Cover and Back matter	2
Optimal inverse problems of potentials for two given eigenvalues of Sturm–Liouville problems	2
The homotopy decomposition of the suspension of a non-simply-connected five-manifold – ADDENDUM	2
Topological regularity of isoperimetric sets in PI spaces having a deformation property	2
Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra	2
Adhesion and volume filling in one-dimensional population dynamics under Dirichlet boundary condition	1
Distribution and moments of the error term in the lattice point counting problem for three-dimensional Cygan–Korányi balls	1
From the Mayer–Vietoris spectral sequence to überhomology	1
Delta-invariants of complete intersection log del Pezzo surfaces	1
On cohomogeneity one Hermitian non-Kähler metrics	1
The monostable cooperative system with nonlocal diffusion and free boundaries	1
Non-Hilbertian tangents to Hilbertian spaces	1
Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms	1
Surfaces of prescribed linear Weingarten curvature in	1
Subsymmetric exchanged braids and the Burau matrix	1
PRM volume 153 issue 5 Cover and Back matter	1
Relaxation for an optimal design problem inBD(Ω)	1
PRM volume 151 issue 5 Cover and Front matter	1
Global index of real polynomials	1
Fence of saddle solutions of the Allen–Cahn equation in the plane	1
Nonlinear elasticity with vanishing nonlocal self-repulsion	1
A note on right-nil and strong-nil skew braces	1
Eternal solutions to a porous medium equation with strong non-homogeneous absorption. Part I: radially non-increasing profiles	1
On generalized eigenvalue problems of fractional (p, q)-Laplace operator with two parameters – CORRIGENDUM	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
Sharp conditions for the validity of the Bourgain–Brezis–Mironescu formula	1
RETRACTED - Compact reduction in Lipschitz-free spaces	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
Nonrigidity of flat ribbons	1
Girth, magnitude homology and phase transition of diagonality	1
Regularity of quasigeodesics characterizes hyperbolicity	1
Pointwise Assouad dimension for measures	1
Topological volumes of fibrations: a note on open covers	1
Sharp Sobolev regularity of restricted X-ray transforms	1
Spreading speeds and traveling wave solutions of diffusive vector-borne disease models without monotonicity	1
On Lebesgue points of entropy solutions to the eikonal equation	1
Well-posedness of the free surface problem on a Newtonian fluid between cylinders rotating at different speeds	1
Involutivity of distributions at points of superdense tangency with respect to normal currents	1
Weak weight-semi-greedy Markushevich bases	1
Measure data elliptic problems with generalized Orlicz growth	1
Propagation of minima for nonlocal operators	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
Two dynamical approaches to the notion of exponential separation for random systems of delay differential equations	1
On a backward problem for nonlinear time fractional wave equations	1
Decay of weak solutions to Vlasov equation coupled with a shear thickening fluid	1
Equivalence between the functional equation and Voronoï-type summation identities for a class of L-functions	1
Equivariant covering type and the number of vertices in equivariant triangulations	1
PRM volume 152 issue 5 Cover and Back matter	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
Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant	1
PRM volume 154 issue 3 Cover and Back matter	1
L p positivity preservation and self-adjointness of Schrödinger operators on incomplete Riemannian manifolds	1
Synthetic versus distributional lower Ricci curvature bounds	1

Connected sums of codimension two locally flat submanifolds	1
Lifting of recollements and gluing of partial silting sets	1
PRM volume 153 issue 3 Cover and Back matter	1
Fixed point conditions for non-coprime actions	1
Trend to equilibrium solution for the discrete Safronov–Dubovskiĭ aggregation equation with forcing	1
Generic properties of topological groups	1
Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group	1
Shape index, Brouwer degree and Poincaré–Hopf theorem	1
PRM volume 153 issue 5 Cover and Front matter	1
Stabilization of the Kawahara–Kadomtsev–Petviashvili equation with time-delayed feedback	1
3D Navier–Stokes–Voigt equations with damping and double delays on unbounded domains: Well-posedness, pullback attractors, and limit measures	1
Spreading primitive groups of diagonal type do not exist	1
Double EPW sextics associated with Gushel–Mukai surfaces	1
Unconditional convergence of eigenfunction expansions for abstract and elliptic operators	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
Deformations of corank 1 frontals	1
Rotating periodic solutions for p-Laplacian differential systems	1
Skew group categories, algebras associated to Cartan matrices and folding of root lattices	1
Andrew Ranicki	1
Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups	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
Order continuity of Arens extensions of regular multilinear operators	1
Strongly outer actions of certain torsion-free amenable groups on the Razak–Jacelon algebra	1
On Fock covariance for product systems and the reduced Hao–Ng isomorphism problem by discrete actions	1
Nonchaotic N-expansive homeomorphisms	1
Error bounds for the asymptotic expansions of the Hermite polynomials	1
Optimal Hardy-weights for the (p, A)-Laplacian with a potential term	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
Brittle fracture in linearly elastic plates	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
Convergence for the fractional p-Laplacian and its application to the extended Nirenberg problem	1
Harnack inequality for the nonlocal equations with general growth	1
Corrigendum: Dynamics of a susceptible—infected—susceptible epidemic reaction—diffusion model	1
Coupling capacity in C*-algebras	0
Rigidity for the perimeter inequality under Schwarz symmetrization	0
Integral representation of hydraulic permeability	0
Divergence of mock Fourier series for spectral measures	0
On stable commutator length of non-filling curves in surfaces	0
PRM volume 152 issue 3 Cover and Back matter	0
Intersection configurations in free and free times free-abelian groups	0
Spectral mapping theorems for essential spectra and regularized functional calculi	0
Invariant set generated by a nonreal number is everywhere dense	0
Periodic solutions for one-dimensional nonlinear nonlocal problem with drift including singular nonlinearities	0
Remark on the local well-posedness for NLS with the modulated dispersion	0
PRM volume 154 issue 6 Cover and Back matter	0
PRM volume 152 issue 4 Cover and Front matter	0
PRM volume 152 issue 2 Cover and Back matter	0
The commutators of multilinear Calderón–Zygmund operators on weighted Hardy spaces	0
Groundstates of the planar Schrödinger–Poisson system with potential well and lack of symmetry	0
Nonexistence of anti-symmetric solutions for fractional Hardy–Hénon system	0
Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation	0
CYT and SKT manifolds with parallel Bismut torsion	0
On Riemann–Hilbert problem and multiple high-order pole solutions to the cubic Camassa–Holm equation	0
Finely quasiconformal mappings	0
On classification of singular matrix difference equations of mixed order	0
Right-angled Artin groups, polyhedral products and the -generating function	0
Necessary and sufficient conditions for ground state solutions to planar Kirchhoff-type equations	0
PRM volume 152 issue 3 Cover and Front matter	0
Uniqueness of ground states to fractional nonlinear elliptic equations with harmonic potential	0
Robustness of nonuniform mean-square exponential dichotomies	0
The family signature theorem	0
A new inner approach for differential subordinations	0
Reflexive homology	0
Bifurcation of the travelling wave solutions in a perturbed (1 + 1)-dimensional dispersive long wave equation via a geometric approach	0
Partitions with parts separated by parity: conjugation, congruences and the mock theta functions	0
Desingularization of 2D elliptic free-boundary problem with non-autonomous nonlinearity	0
Multiple solutions for some classes of non-linear elliptic equations with variable exponents	0
Formation behaviour of the kinetic Cucker–Smale model with non-compact support	0
Stability properties of multidimensional symmetric hyperbolic systems with damping, differential constraints and delay	0
Lyapunov stability of non-isolated equilibria for strongly irreversible Allen–Cahn equations	0
Variational characterizations of weighted Hardy spaces and weighted spaces	0
Equivariant stable sheaves and toric GIT	0
PRM volume 154 issue 4 Cover and Front matter	0
Global centres in a class of quintic polynomial differential systems	0
Schatten class composition operators on the Hardy space	0
Newton–Maclaurin type inequalities for linear combinations of elementary symmetric functions	0
PRM volume 152 issue 4 Cover and Back matter	0
On the spectrum of non-self-adjoint Dirac operators with quasi-periodic boundary conditions	0
Global existence and large time behaviour for the pressureless Euler–Naver–Stokes system in ℝ3	0
Various topological complexities of small covers and real Bott manifolds	0
Analytic partial-integrability of a symmetric Hopf-zero degeneracy	0
Non-existence theorems for quasilinear elliptic equations with weights	0
A sharp threshold for Trudinger–Moser type inequalities with logarithmic kernels in dimension N	0
Integrability of special quadratic systems with invariant hyperbolas	0
Is the Sacker–Sell type spectrum equal to the contractible set?	0
Effect of the location of a protection zone in a reaction–diffusion model	0
Γ-convergence and stochastic homogenization of degenerate integral functionals in weighted Sobolev spaces	0
Equivalent criterion for the grand Riemann hypothesis associated with Maass cusp forms	0
Reducing subspaces for rank-one perturbations of normal operators	0
Generic ill-posedness of the energy–momentum equations and differential inclusions	0
Rigidity of mapping class groups MOD powers of twists	0