Proceedings of the Royal Society of Edinburgh Section A-Mathematics

Article	Citations
PRM volume 154 issue 2 Cover and Front matter	19
On the global existence of solutions to chemotaxis system for two populations in dimension two	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
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
Schwartz very weak solutions for Schrödinger type equations with distributional coefficients	10
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations	9
On global fractional Calderón–Zygmund regularity for the fractional Dirichlet problem on Lipschitz domains	9
Fixed point sets and the fundamental group II: Euler characteristics	8
Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy	8
On the linearized Whitham–Broer–Kaup system on bounded domains	8
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
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
On the L-polynomials of curves over finite fields	6
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 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
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
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
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
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
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
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
Optimal inverse problems of potentials for two given eigenvalues of Sturm–Liouville problems	2
Avoidance loci and tropicalizations of real bitangents to plane quartics	2
Corrigendum: Dynamics of a susceptible—infected—susceptible epidemic reaction—diffusion model	2
Toeplitz determinants with a one-cut regular potential and Fisher–Hartwig singularities I. Equilibrium measure supported on the unit circle	2
Singularities of 3-parameter line congruences in	2
Multiscale linearization of nonautonomous systems	2
Vanishing of Nil-terms and negative K-theory for additive categories	2
Index estimates of compact hypersurfaces in smooth metric measure spaces	2
On complete submanifolds with parallel normalized mean curvature in product spaces	2
Delta-invariants of complete intersection log del Pezzo surfaces	2

On the oscillation of certain second-order linear differential equations	2
PRM volume 153 issue 5 Cover and Front matter	2
On the number of conjugacy classes of a primitive permutation group	2
Topological regularity of isoperimetric sets in PI spaces having a deformation property	2
Stability and exponential decay for magnetohydrodynamic equations	2
Surfaces of prescribed linear Weingarten curvature in	2
PRM volume 152 issue 6 Cover and Back matter	2
Factorization structures, cones, and polytopes	2
On the topological complexity and zero-divisor cup-length of real Grassmannians	2
Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations	2
On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations	2
Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus	2
Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra	2
Arens regularity of ideals of the group algebra of a compact Abelian group	2
Weak weight-semi-greedy Markushevich bases	2
Zero-electron-mass limit of the compressible Navier–Stokes–Poisson equations with well/ill-prepared initial data	2
Involutivity of distributions at points of superdense tangency with respect to normal currents	2
The homotopy decomposition of the suspension of a non-simply-connected five-manifold – ADDENDUM	2
Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant	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
Regularity of quasigeodesics characterizes hyperbolicity	2
Regular solutions to the dissipative Aw–Rascle system	2
The fundamental gap of a kind of sub-elliptic operator	2
Fractional time differential equations as a singular limit of the Kobayashi–Warren–Carter system	2
Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group	2
Global boundedness and stabilization of solutions for a chemotaxis system with acceleration and logistic source	2
On a class of special Euler–Lagrange equations	2
Flat model structures and Gorenstein objects in functor categories	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
Double EPW sextics associated with Gushel–Mukai surfaces	2
Evans function, parity and nonautonomous bifurcations	2
3D Navier–Stokes–Voigt equations with damping and double delays on unbounded domains: Well-posedness, pullback attractors, and limit measures	2
Inverse nodal problems on quantum tree graphs	2
Distribution and moments of the error term in the lattice point counting problem for three-dimensional Cygan–Korányi balls	2
Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system	2
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes	2
Moduli space theory for complete, constant Q-curvature metrics on finitely punctured spheres	1
Cartesian closed varieties II: links to algebra and self-similarity	1
Nonlinear elasticity with vanishing nonlocal self-repulsion	1
Deformations of corank 1 frontals	1
Compact reduction in Lipschitz-free spaces - RETRACTION	1
Harnack inequality for the nonlocal equations with general growth	1
Liouville property and quasi-isometries on negatively curved Riemannian surfaces	1
PRM volume 153 issue 2 Cover and Back matter	1
Unconditional convergence of eigenfunction expansions for abstract and elliptic operators	1
Duality pairs, phantom maps, and definability in triangulated categories	1
Andrew Ranicki	1
Fixed point conditions for non-coprime actions	1
Existence of minimizers of the stability constant of Caffarelli–Kohn–Nirenberg inequality	1
PRM volume 152 issue 5 Cover and Back matter	1
PRM volume 154 issue 1 Cover and Front matter	1
Measure data elliptic problems with generalized Orlicz growth	1
Trend to equilibrium solution for the discrete Safronov–Dubovskiĭ aggregation equation with forcing	1
From the Mayer–Vietoris spectral sequence to überhomology	1
Two dynamical approaches to the notion of exponential separation for random systems of delay differential equations	1
PRM volume 153 issue 5 Cover and Back matter	1
On cohomogeneity one Hermitian non-Kähler metrics	1
Global index of real polynomials	1
Fence of saddle solutions of the Allen–Cahn equation in the plane	1
Rotating periodic solutions for p-Laplacian differential systems	1
Non-Hilbertian tangents to Hilbertian spaces	1
Synthetic versus distributional lower Ricci curvature bounds	1
Error bounds for the asymptotic expansions of the Hermite polynomials	1
Girth, magnitude homology and phase transition of diagonality	1
Nonchaotic N-expansive homeomorphisms	1
Spreading primitive groups of diagonal type do not exist	1
Iterates of meromorphic functions on escaping Fatou components	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
L p positivity preservation and self-adjointness of Schrödinger operators on incomplete Riemannian manifolds	1
Equivariant covering type and the number of vertices in equivariant triangulations	1
Cavitation of a spherical body under mechanical and self-gravitational forces	1
Pointwise Assouad dimension for measures	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
Equivalence between the functional equation and Voronoï-type summation identities for a class of L-functions	1
RETRACTED - Compact reduction in Lipschitz-free spaces	1

The geometry of C1,α flat isometric immersions	1
Semigroups of self-similar actions and higher rank Baumslag–Solitar semigroups	1
PRM volume 153 issue 1 Cover and Front matter	1
On the non-properness set of a local homeomorphism	1
PRM volume 154 issue 3 Cover and Back matter	1
The structure of finite groups whose elements outside a normal subgroup have prime power orders	1
Large deviation principles of 2D stochastic Navier–Stokes equations with Lévy noises	1
Order continuity of Arens extensions of regular multilinear operators	1
A new class of α-Farey maps and an application to normal numbers	1
Relaxation for an optimal design problem inBD(Ω)	1
On generalized eigenvalue problems of fractional (p, q)-Laplace operator with two parameters – CORRIGENDUM	1
On the existence of a nodal solution for p-Laplacian equations depending on the gradient	1
Nonrigidity of flat ribbons	1
Torsion in classifying spaces of gauge groups	1
Propagation of minima for nonlocal operators	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
On Lebesgue points of entropy solutions to the eikonal equation	1
Generic properties of topological groups	1
Decay of weak solutions to Vlasov equation coupled with a shear thickening fluid	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
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
Pullback measure attractors for stochastic p-Laplacian parabolic equations on thin domains	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
Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms	1
A stability inequality for planar lens partition	1
The monostable cooperative system with nonlocal diffusion and free boundaries	1
On a perturbed critical semilinear equation with singularity	1
Stabilization of the Kawahara–Kadomtsev–Petviashvili equation with time-delayed feedback	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
Subsymmetric exchanged braids and the Burau matrix	1
Adhesion and volume filling in one-dimensional population dynamics under Dirichlet boundary condition	1
Connected sums of codimension two locally flat submanifolds	1
Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups	1
Topologically free actions and ideals in twisted Banach algebra crossed products	1
On a backward problem for nonlinear time fractional wave equations	1
Optimal Hardy-weights for the (p, A)-Laplacian with a potential term	1
Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth	1
Convergence for the fractional p-Laplacian and its application to the extended Nirenberg problem	1
Brittle fracture in linearly elastic plates	1
Periodic solutions of four-order degenerate differential equations with finite delay in vector-valued function spaces	1
A note on right-nil and strong-nil skew braces	1
Jumps, cusps, and fractals in the solution of the periodic linear Benjamin–Ono equation	1
The non-autonomous Navier–Stokes–Brinkman–Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors	1
Semilinear elliptic equations involving power nonlinearities and Hardy potentials with boundary singularities	1
PRM volume 153 issue 3 Cover and Back matter	1
Shape index, Brouwer degree and Poincaré–Hopf theorem	1
Spectral asymptotics for linear elasticity: the case of mixed boundary conditions	1