Proceedings of the Royal Society of Edinburgh Section A-Mathematics

Article	Citations
On the global existence of solutions to chemotaxis system for two populations in dimension two	19
PRM volume 154 issue 2 Cover and Front matter	19
Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold	14
Brownian motion on the golden ratio Sierpinski gasket	13
Maximal noncompactness of limiting Sobolev embeddings	12
Schwartz very weak solutions for Schrödinger type equations with distributional coefficients	10
A criterion to detect a non-trivial homology of an invariant set of a flow in $\mathbb{R}^3$	10
PRM volume 154 issue 4 Cover and Back matter	10
On global fractional Calderón–Zygmund regularity for the fractional Dirichlet problem on Lipschitz domains	9
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations	9
Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy	8
On the linearized Whitham–Broer–Kaup system on bounded domains	8
Fixed point sets and the fundamental group II: Euler characteristics	8
Weighted estimates for Bochner–Riesz operators on Lorentz spaces	7
Solutions with prescribed mass for L2-supercritical NLS equations under Neumann boundary conditions	7
PRM volume 152 issue 2 Cover and Front matter	7
Tropical graph curves	7
The ground states of quasilinear Hénon equation with double weighted critical exponents	7
On mixed local–nonlocal problems with Hardy potential	7
Structural stability of transonic shock flows with an external force	7
Index estimates for closed minimal submanifolds of the sphere	7
A note on the differentiability of discrete Palmer's linearization	7
Remarks on a formula of Ramanujan	6
The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates	6
On the L-polynomials of curves over finite fields	6

Discrete heat equation with irregular thermal conductivity and tempered distributional data	5
On the energy equality for very weak solutions to 3D MHD equations	5
On conformally flat minimal Legendrian submanifolds in the unit sphere	5
Commutativity properties of Quinn spectra	5
Principal bundle structure of the space of metric measure spaces	5
Series expansion of Leray–Trudinger inequality	5
The rigidity of filtered colimits of n-cluster tilting subcategories	4
PRM volume 153 issue 4 Cover and Back matter	4
Finite-time blow-up in a repulsive chemotaxis-consumption system	4
Fractional interpolation inequality and radially symmetric ground states	4
Isometric dilations for representations of product systems	4
Fourier multipliers for Hardy spaces on graded Lie groups	4
Quantitative quasi-invariance of Gaussian measures below the energy level for the 1D generalized nonlinear Schrödinger equation and application to global well-posedness	4
Singular SPDEs on homogeneous lie groups	4
Absence of singularities in solutions for the compressible Euler equations with source terms in	4
PRM volume 152 issue 1 Cover and Front matter	4
Weighted Lipschitz shadowing and generalized weighted limit shadowing for infinite-dimensional systems	4
On a localization-in-frequency approach for a class of elliptic problems with singular boundary data	4
Anisotropic Gauss curvature flows and their associated Dual Orlicz-Minkowski problems	4
Borderline gradient continuity for fractional heat type operators	4
Multiplicity of positive solutions for a class of nonhomogeneous elliptic equations in the hyperbolic space	3
Quasi-hereditary covers of Temperley–Lieb algebras and relative dominant dimension	3
A remark on the well-posedness of the modified KdV equation in L2	3
The localisation theorem for the K-theory of stable ∞-categories	3
Sharp estimates for Gowers norms on discrete cubes	3
Maximizing weighted sums of binomial coefficients using generalized continued fractions	3
Anisotropic weighted isoperimetric inequalities for star-shaped and F-mean convex hypersurface	3
Equivariant parametrized topological complexity	3
The affirmative answer to Singer's conjecture on the algebraic transfer of rank four	3
Morse theory of Bestvina–Brady type for posets and matchings	3
Normalized ground state solutions for critical growth Schrödinger equations with Hardy potential	3
On the optimization of the first weighted eigenvalue	3
Birkhoff spectrum for diagonally self-affine sets and digit frequencies for GLS systems with redundancy	3
Symmetrized and non-symmetrized asymptotic mean value Laplacian in metric measure spaces	3
Bifurcations and pattern formation in a host–parasitoid model with nonlocal effect	3
Additive energies of subsets of discrete cubes	3
PRM volume 154 issue 5 Cover and Back matter	3
Geometry of tropical extensions of hyperfields	3
Stability and exponential decay for magnetohydrodynamic equations	2
Weak weight-semi-greedy Markushevich bases	2
Involutivity of distributions at points of superdense tangency with respect to normal currents	2
Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations	2
Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant	2
On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations	2
Large deviation principle for slow-fast rough differential equations via controlled rough paths	2
Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus	2
Regularity of quasigeodesics characterizes hyperbolicity	2
Regular solutions to the dissipative Aw–Rascle system	2
Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra	2
The fundamental gap of a kind of sub-elliptic operator	2

Arens regularity of ideals of the group algebra of a compact Abelian group	2
Zero-electron-mass limit of the compressible Navier–Stokes–Poisson equations with well/ill-prepared initial data	2
Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group	2
The homotopy decomposition of the suspension of a non-simply-connected five-manifold – ADDENDUM	2
PRM volume 152 issue 6 Cover and Front matter	2
PRM volume 153 issue 6 Cover and Back matter	2
Double EPW sextics associated with Gushel–Mukai surfaces	2
Fractional time differential equations as a singular limit of the Kobayashi–Warren–Carter system	2
3D Navier–Stokes–Voigt equations with damping and double delays on unbounded domains: Well-posedness, pullback attractors, and limit measures	2
Global boundedness and stabilization of solutions for a chemotaxis system with acceleration and logistic source	2
Distribution and moments of the error term in the lattice point counting problem for three-dimensional Cygan–Korányi balls	2
On a class of special Euler–Lagrange equations	2
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes	2
Flat model structures and Gorenstein objects in functor categories	2
Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres	2
Sharp conditions for the validity of the Bourgain–Brezis–Mironescu formula	2
Linear actions of $\mathbb {Z}/p\times \mathbb {Z}/p$ on $S^{2n-1}\times S^{2n-1}$	2
Optimal inverse problems of potentials for two given eigenvalues of Sturm–Liouville problems	2
Some results for semi-stable radial solutions of k-Hessian equations with weight on ℝn	2
Evans function, parity and nonautonomous bifurcations	2
Corrigendum: Dynamics of a susceptible—infected—susceptible epidemic reaction—diffusion model	2
Inverse nodal problems on quantum tree graphs	2
Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system	2
Index estimates of compact hypersurfaces in smooth metric measure spaces	2
Delta-invariants of complete intersection log del Pezzo surfaces	2
Avoidance loci and tropicalizations of real bitangents to plane quartics	2
PRM volume 153 issue 5 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
Topological regularity of isoperimetric sets in PI spaces having a deformation property	2
Singularities of 3-parameter line congruences in	2
Surfaces of prescribed linear Weingarten curvature in	2
Multiscale linearization of nonautonomous systems	2
PRM volume 152 issue 6 Cover and Back matter	2
Factorization structures, cones, and polytopes	2
Vanishing of Nil-terms and negative K-theory for additive categories	2
On complete submanifolds with parallel normalized mean curvature in product spaces	2
On the topological complexity and zero-divisor cup-length of real Grassmannians	2
On the oscillation of certain second-order linear differential equations	2
On the number of conjugacy classes of a primitive permutation group	2
Spreading primitive groups of diagonal type do not exist	1
Iterates of meromorphic functions on escaping Fatou components	1
The non-autonomous Navier–Stokes–Brinkman–Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors	1
Spreading speeds and traveling wave solutions of diffusive vector-borne disease models without monotonicity	1
L p positivity preservation and self-adjointness of Schrödinger operators on incomplete Riemannian manifolds	1
Moduli space theory for complete, constant Q-curvature metrics on finitely punctured spheres	1
Pointwise Assouad dimension for measures	1
Cavitation of a spherical body under mechanical and self-gravitational forces	1
Deformations of corank 1 frontals	1
Eternal solutions to a porous medium equation with strong non-homogeneous absorption. Part I: radially non-increasing profiles	1
BP-cohomology of projective Stiefel manifolds	1
Liouville property and quasi-isometries on negatively curved Riemannian surfaces	1
RETRACTED - Compact reduction in Lipschitz-free spaces	1
The geometry of C1,α flat isometric immersions	1
PRM volume 154 issue 3 Cover and Back matter	1
PRM volume 153 issue 1 Cover and Front matter	1
Andrew Ranicki	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
Existence of minimizers of the stability constant of Caffarelli–Kohn–Nirenberg inequality	1
On generalized eigenvalue problems of fractional (p, q)-Laplace operator with two parameters – CORRIGENDUM	1
A new class of α-Farey maps and an application to normal numbers	1
Measure data elliptic problems with generalized Orlicz growth	1
Torsion in classifying spaces of gauge groups	1
On the existence of a nodal solution for p-Laplacian equations depending on the gradient	1
Two dynamical approaches to the notion of exponential separation for random systems of delay differential equations	1
A note on monotonicity and Bochner formulas in Carnot groups	1
Skew group categories, algebras associated to Cartan matrices and folding of root lattices	1
Global index of real polynomials	1
Generic properties of topological groups	1
Decay of weak solutions to Vlasov equation coupled with a shear thickening fluid	1
Non-Hilbertian tangents to Hilbertian spaces	1
Radial and non-radial solutions for a class of (p, q)-Laplace equations involving weights	1
On Fock covariance for product systems and the reduced Hao–Ng isomorphism problem by discrete actions	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
Sharp Hardy and spectral gap inequalities on special irreversible Finsler manifolds	1
Sharp Sobolev regularity of restricted X-ray transforms	1
A stability inequality for planar lens partition	1
Equivariant covering type and the number of vertices in equivariant triangulations	1
The monostable cooperative system with nonlocal diffusion and free boundaries	1

On a perturbed critical semilinear equation with singularity	1
Strongly outer actions of certain torsion-free amenable groups on the Razak–Jacelon algebra	1
Pressure live loads and the variational derivation of linear elasticity	1
Equivalence between the functional equation and Voronoï-type summation identities for a class of L-functions	1
Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups	1
Adhesion and volume filling in one-dimensional population dynamics under Dirichlet boundary condition	1
Semigroups of self-similar actions and higher rank Baumslag–Solitar semigroups	1
Optimal Hardy-weights for the (p, A)-Laplacian with a potential term	1
Topologically free actions and ideals in twisted Banach algebra crossed products	1
On the non-properness set of a local homeomorphism	1
Brittle fracture in linearly elastic plates	1
Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth	1
Large deviation principles of 2D stochastic Navier–Stokes equations with Lévy noises	1
Jumps, cusps, and fractals in the solution of the periodic linear Benjamin–Ono equation	1
Periodic solutions of four-order degenerate differential equations with finite delay in vector-valued function spaces	1
Relaxation for an optimal design problem inBD(Ω)	1
Semilinear elliptic equations involving power nonlinearities and Hardy potentials with boundary singularities	1
PRM volume 153 issue 3 Cover and Back matter	1
Nonrigidity of flat ribbons	1
Shape index, Brouwer degree and Poincaré–Hopf theorem	1
Spectral asymptotics for linear elasticity: the case of mixed boundary conditions	1
Propagation of minima for nonlocal operators	1
Cartesian closed varieties II: links to algebra and self-similarity	1
Nonlinear elasticity with vanishing nonlocal self-repulsion	1
On Lebesgue points of entropy solutions to the eikonal equation	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
Harnack inequality for the nonlocal equations with general growth	1
Compact reduction in Lipschitz-free spaces - RETRACTION	1
Pullback measure attractors for stochastic p-Laplacian parabolic equations on thin domains	1
PRM volume 153 issue 2 Cover and Back matter	1
Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms	1
Unconditional convergence of eigenfunction expansions for abstract and elliptic operators	1
Duality pairs, phantom maps, and definability in triangulated categories	1
PRM volume 152 issue 5 Cover and Back matter	1
Fixed point conditions for non-coprime actions	1
Stabilization of the Kawahara–Kadomtsev–Petviashvili equation with time-delayed feedback	1
Trend to equilibrium solution for the discrete Safronov–Dubovskiĭ aggregation equation with forcing	1
PRM volume 154 issue 1 Cover and Front matter	1
Subsymmetric exchanged braids and the Burau matrix	1
PRM volume 153 issue 5 Cover and Back matter	1
From the Mayer–Vietoris spectral sequence to überhomology	1
Connected sums of codimension two locally flat submanifolds	1
Fence of saddle solutions of the Allen–Cahn equation in the plane	1
On cohomogeneity one Hermitian non-Kähler metrics	1
On a backward problem for nonlinear time fractional wave equations	1
Synthetic versus distributional lower Ricci curvature bounds	1
Rotating periodic solutions for p-Laplacian differential systems	1
Convergence for the fractional p-Laplacian and its application to the extended Nirenberg problem	1
Girth, magnitude homology and phase transition of diagonality	1
Nonchaotic N-expansive homeomorphisms	1
A note on right-nil and strong-nil skew braces	1