Proceedings of the Royal Society of Edinburgh Section A-Mathematics

Article	Citations
Maximal noncompactness of limiting Sobolev embeddings	26
Global well-posedness and decay estimates for three-dimensional compressible Navier–Stokes–Allen–Cahn systems	19
On the global existence of solutions to chemotaxis system for two populations in dimension two	16
Brownian motion on the golden ratio Sierpinski gasket	12
PRM volume 154 issue 4 Cover and Back matter	10
PRM volume 154 issue 2 Cover and Front matter	10
Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold	10
Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy	9
A criterion to detect a non-trivial homology of an invariant set of a flow in $\mathbb{R}^3$	9
Fixed point sets and the fundamental group II: Euler characteristics	8
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations	8
Tropical graph curves	8
Lorentz and Gale–Ryser theorems on general measure spaces	8
On the linearized Whitham–Broer–Kaup system on bounded domains	8
Weighted estimates for Bochner–Riesz operators on Lorentz spaces	8
On mixed local–nonlocal problems with Hardy potential	7
Global regularity for the micropolar Rayleigh-Bénard problem with only velocity dissipation	7
PRM volume 152 issue 2 Cover and Front matter	7
A note on the differentiability of discrete Palmer's linearization	7
On regular algebraic hypersurfaces with non-zero constant mean curvature in Euclidean spaces	6
Solutions with prescribed mass for L2-supercritical NLS equations under Neumann boundary conditions	6
The ground states of quasilinear Hénon equation with double weighted critical exponents	6
On the L-polynomials of curves over finite fields	6
Index estimates for closed minimal submanifolds of the sphere	6
Structural stability of transonic shock flows with an external force	6

Discs area-minimizing in mean convex Riemanniann-manifolds	5
Principal bundle structure of the space of metric measure spaces	5
Commutativity properties of Quinn spectra	5
Remarks on a formula of Ramanujan	5
The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates	5
Discrete heat equation with irregular thermal conductivity and tempered distributional data	5
Series expansion of Leray–Trudinger inequality	5
On conformally flat minimal Legendrian submanifolds in the unit sphere	5
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
On a localization-in-frequency approach for a class of elliptic problems with singular boundary data	4
On the energy equality for very weak solutions to 3D MHD equations	4
Multiplicity of positive solutions for a class of nonhomogeneous elliptic equations in the hyperbolic space	4
Absence of singularities in solutions for the compressible Euler equations with source terms in	4
The rigidity of filtered colimits of n-cluster tilting subcategories	4
Fourier multipliers for Hardy spaces on graded Lie groups	4
PRM volume 152 issue 1 Cover and Front matter	4
Anisotropic Gauss curvature flows and their associated Dual Orlicz-Minkowski problems	4
Anisotropic weighted isoperimetric inequalities for star-shaped and F-mean convex hypersurface	3
PRM volume 154 issue 5 Cover and Back matter	3
Geometry of tropical extensions of hyperfields	3
Isometric dilations for representations of product systems	3
Maximizing weighted sums of binomial coefficients using generalized continued fractions	3
Sharp estimates for Gowers norms on discrete cubes	3
Cyclic parallel structure Jacobi operator for real hypersurfaces in complex two-plane Grassmannians	3
The affirmative answer to Singer's conjecture on the algebraic transfer of rank four	3
Borderline gradient continuity for fractional heat type operators	3
Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers	3
Additive energies of subsets of discrete cubes	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
On the optimization of the first weighted eigenvalue	3
Singular SPDEs on homogeneous lie groups	3
Normalized ground state solutions for critical growth Schrödinger equations with Hardy potential	3
Distribution and moments of the error term in the lattice point counting problem for three-dimensional Cygan–Korányi balls	2
A remark on the well-posedness of the modified KdV equation in L2	2
On the topological complexity and zero-divisor cup-length of real Grassmannians	2
Topological regularity of isoperimetric sets in PI spaces having a deformation property	2
Regular solutions to the dissipative Aw–Rascle system	2
Topological volumes of fibrations: a note on open covers	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
Fractional time differential equations as a singular limit of the Kobayashi–Warren–Carter system	2
Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres	2
Avoidance loci and tropicalizations of real bitangents to plane quartics	2
On complete submanifolds with parallel normalized mean curvature in product spaces	2
Large deviation principle for slow-fast rough differential equations via controlled rough paths	2
On the oscillation of certain second-order linear differential equations	2
On a class of special Euler–Lagrange equations	2

Morse theory of Bestvina–Brady type for posets and matchings	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
PRM volume 153 issue 5 Cover and Front matter	2
Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system	2
Sharp conditions for the validity of the Bourgain–Brezis–Mironescu formula	2
Corrigendum: Dynamics of a susceptible—infected—susceptible epidemic reaction—diffusion model	2
Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant	2
Flat model structures and Gorenstein objects in functor categories	2
On the number of conjugacy classes of a primitive permutation group	2
Linear actions of $\mathbb {Z}/p\times \mathbb {Z}/p$ on $S^{2n-1}\times S^{2n-1}$	2
Stability and exponential decay for magnetohydrodynamic equations	2
Multiscale linearization of nonautonomous systems	2
PRM volume 152 issue 6 Cover and Back matter	2
Some results for semi-stable radial solutions of k-Hessian equations with weight on ℝn	2
Bifurcations and pattern formation in a host–parasitoid model with nonlocal effect	2
Optimal inverse problems of potentials for two given eigenvalues of Sturm–Liouville problems	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
Equivariant parametrized topological complexity	2
3D Navier–Stokes–Voigt equations with damping and double delays on unbounded domains: Well-posedness, pullback attractors, and limit measures	2
Travelling wave fronts of Lotka-Volterra reaction-diffusion system in the weak competition case	2
Regularity of quasigeodesics characterizes hyperbolicity	2
Zero-electron-mass limit of the compressible Navier–Stokes–Poisson equations with well/ill-prepared initial data	2
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes	2
Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group	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
Global boundedness and stabilization of solutions for a chemotaxis system with acceleration and logistic source	2
On the fractional Lazer-McKenna conjecture with critical growth	2
Index estimates of compact hypersurfaces in smooth metric measure spaces	2
Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus	2
PRM volume 152 issue 6 Cover and Front matter	2
PRM volume 153 issue 6 Cover and Back matter	2
Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra	2
The homotopy decomposition of the suspension of a non-simply-connected five-manifold – ADDENDUM	2
Singularities of 3-parameter line congruences in	2
Quasi-hereditary covers of Temperley–Lieb algebras and relative dominant dimension	2
Nonchaotic N-expansive homeomorphisms	1
PRM volume 151 issue 5 Cover and Front matter	1
Brittle fracture in linearly elastic plates	1
PRM volume 153 issue 3 Cover and Back matter	1
Girth, magnitude homology and phase transition of diagonality	1
Order continuity of Arens extensions of regular multilinear operators	1
Nonlinear elasticity with vanishing nonlocal self-repulsion	1
Shape index, Brouwer degree and Poincaré–Hopf theorem	1
Deformations of corank 1 frontals	1
Every locally compact group is the outer automorphism group of a II1 factor	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
On Fock covariance for product systems and the reduced Hao–Ng isomorphism problem by discrete actions	1
Double EPW sextics associated with Gushel–Mukai surfaces	1
PRM volume 154 issue 1 Cover and Front matter	1
Liouville property and quasi-isometries on negatively curved Riemannian surfaces	1
Non-Hilbertian tangents to Hilbertian spaces	1
BP-cohomology of projective Stiefel manifolds	1
Subsymmetric exchanged braids and the Burau matrix	1
Error bounds for the asymptotic expansions of the Hermite polynomials	1
Skew group categories, algebras associated to Cartan matrices and folding of root lattices	1
The non-autonomous Navier–Stokes–Brinkman–Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors	1
The monostable cooperative system with nonlocal diffusion and free boundaries	1
Harnack inequality for the nonlocal equations with general growth	1
On generalized eigenvalue problems of fractional (p, q)-Laplace operator with two parameters – CORRIGENDUM	1
L p positivity preservation and self-adjointness of Schrödinger operators on incomplete Riemannian manifolds	1
PRM volume 152 issue 5 Cover and Back matter	1
Rotating periodic solutions for p-Laplacian differential systems	1
Trend to equilibrium solution for the discrete Safronov–Dubovskiĭ aggregation equation with forcing	1
Fixed point conditions for non-coprime actions	1
Two dynamical approaches to the notion of exponential separation for random systems of delay differential equations	1
Synthetic versus distributional lower Ricci curvature bounds	1
Spreading primitive groups of diagonal type do not exist	1
Nonrigidity of flat ribbons	1
Decay of weak solutions to Vlasov equation coupled with a shear thickening fluid	1
Generic properties of topological groups	1
Convergence for the fractional p-Laplacian and its application to the extended Nirenberg problem	1
Topologically free actions and ideals in twisted Banach algebra crossed products	1
Adhesion and volume filling in one-dimensional population dynamics under Dirichlet boundary condition	1
Measure data elliptic problems with generalized Orlicz growth	1
Semilinear elliptic equations involving power nonlinearities and Hardy potentials with boundary singularities	1
Relaxation for an optimal design problem inBD(Ω)	1
Weak weight-semi-greedy Markushevich bases	1

PRM volume 153 issue 1 Cover and Front matter	1
Equivalence between the functional equation and Voronoï-type summation identities for a class of L-functions	1
Propagation of minima for nonlocal operators	1
Compact reduction in Lipschitz-free spaces - RETRACTION	1
Andrew Ranicki	1
On a backward problem for nonlinear time fractional wave equations	1
Spreading speeds and traveling wave solutions of diffusive vector-borne disease models without monotonicity	1
Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups	1
Surfaces of prescribed linear Weingarten curvature in	1
A note on monotonicity and Bochner formulas in Carnot groups	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
Periodic solutions of four-order degenerate differential equations with finite delay in vector-valued function spaces	1
PRM volume 154 issue 3 Cover and Back matter	1
Equivariant covering type and the number of vertices in equivariant triangulations	1
On cohomogeneity one Hermitian non-Kähler metrics	1
Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth	1
Well-posedness of the free surface problem on a Newtonian fluid between cylinders rotating at different speeds	1
From the Mayer–Vietoris spectral sequence to überhomology	1
RETRACTED - Compact reduction in Lipschitz-free spaces	1
Spectral asymptotics for linear elasticity: the case of mixed boundary conditions	1
Pointwise Assouad dimension for measures	1
Sharp Sobolev regularity of restricted X-ray transforms	1
Iterates of meromorphic functions on escaping Fatou components	1
Cartesian closed varieties II: links to algebra and self-similarity	1
Connected sums of codimension two locally flat submanifolds	1
Involutivity of distributions at points of superdense tangency with respect to normal currents	1
Weakly concave operators	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
PRM volume 153 issue 2 Cover and Back matter	1
Optimal Hardy-weights for the (p, A)-Laplacian with a potential term	1
Delta-invariants of complete intersection log del Pezzo surfaces	1
A stability inequality for planar lens partition	1
PRM volume 153 issue 5 Cover and Back matter	1
On Lebesgue points of entropy solutions to the eikonal equation	1
The structure of finite groups whose elements outside a normal subgroup have prime power orders	1
Stabilization of the Kawahara–Kadomtsev–Petviashvili equation with time-delayed feedback	1
Global index of real polynomials	1
Large deviation principles of 2D stochastic Navier–Stokes equations with Lévy noises	1
Fence of saddle solutions of the Allen–Cahn equation in the plane	1
On the existence of a nodal solution for p-Laplacian equations depending on the gradient	1
Torsion in classifying spaces of gauge groups	1
Eternal solutions to a porous medium equation with strong non-homogeneous absorption. Part I: radially non-increasing profiles	1
Local regularity for nonlocal double phase equations in the Heisenberg group	0
Finite domination and Novikov homology over strongly $\mathbb {Z}^2$-graded rings	0
Global centres in a class of quintic polynomial differential systems	0
Γ-convergence and stochastic homogenization of degenerate integral functionals in weighted Sobolev spaces	0
The commutators of multilinear Calderón–Zygmund operators on weighted Hardy spaces	0
Reducing subspaces for rank-one perturbations of normal operators	0
Generic ill-posedness of the energy–momentum equations and differential inclusions	0
Stability properties of multidimensional symmetric hyperbolic systems with damping, differential constraints and delay	0
Differential Harnack estimates for a weighted nonlinear parabolic equation under a super Perelman–Ricci flow and implications	0
Formation behaviour of the kinetic Cucker–Smale model with non-compact support	0
PRM volume 152 issue 3 Cover and Back matter	0
PRM volume 152 issue 4 Cover and Front matter	0
PRM volume 152 issue 4 Cover and Back matter	0
On stable commutator length of non-filling curves in surfaces	0
On Riemann–Hilbert problem and multiple high-order pole solutions to the cubic Camassa–Holm equation	0
Coupling capacity in C*-algebras	0
A Lebesgue–Lusin property for linear operators of first and second order	0
Reflexive homology	0
Homogeneous and curvature homogeneous Lorentzian critical metrics	0
PRM volume 152 issue 2 Cover and Back matter	0
On classification of singular matrix difference equations of mixed order	0
Cyclicity of period annulus for a class of quadratic reversible systems with a nonrational first integral	0
Divergence of mock Fourier series for spectral measures	0
Desingularization of 2D elliptic free-boundary problem with non-autonomous nonlinearity	0
Is the Sacker–Sell type spectrum equal to the contractible set?	0
Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation	0
On the Hilbert scheme of smooth curves of degree d = 15 in $\mathbb{P}^5$	0
Necessary and sufficient conditions for ground state solutions to planar Kirchhoff-type equations	0
Equivariant stable sheaves and toric GIT	0
Rigidity for the perimeter inequality under Schwarz symmetrization	0
Integral representation of hydraulic permeability	0
Variational characterizations of weighted Hardy spaces and weighted spaces	0
Finely quasiconformal mappings	0
Uniqueness of ground states to fractional nonlinear elliptic equations with harmonic potential	0
On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative	0
PRM volume 154 issue 6 Cover and Back matter	0
Multiple solutions for some classes of non-linear elliptic equations with variable exponents	0
Equivalent criterion for the grand Riemann hypothesis associated with Maass cusp forms	0
Variational method for fractional Hamiltonian system in bounded domain	0
CYT and SKT manifolds with parallel Bismut torsion	0
Groundstates of the planar Schrödinger–Poisson system with potential well and lack of symmetry	0
The exponential ordering for nonautonomous delay systems with applications to compartmental Nicholson systems	0
Rigidity of mapping class groups MOD powers of twists	0
Effect of the location of a protection zone in a reaction–diffusion model	0
Arithmetic Ramsey theory over the primes	0
Schatten class composition operators on the Hardy space	0
Bifurcation of the travelling wave solutions in a perturbed (1 + 1)-dimensional dispersive long wave equation via a geometric approach	0
PRM volume 154 issue 4 Cover and Front matter	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
Newton–Maclaurin type inequalities for linear combinations of elementary symmetric functions	0