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	17
PRM volume 154 issue 2 Cover and Front matter	15
Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold	14
Brownian motion on the golden ratio Sierpinski gasket	14
A criterion to detect a non-trivial homology of an invariant set of a flow in $\mathbb{R}^3$	12
Schwartz very weak solutions for Schrödinger type equations with distributional coefficients	11
PRM volume 154 issue 4 Cover and Back matter	10
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations	9
Fixed point sets and the fundamental group II: Euler characteristics	9
On global fractional Calderón–Zygmund regularity for the fractional Dirichlet problem on Lipschitz domains	9
On the linearized Whitham–Broer–Kaup system on bounded domains	8
Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy	7
Weighted estimates for Bochner–Riesz operators on Lorentz spaces	7
Maximal noncompactness of limiting Sobolev embeddings	7
Existence and concentration of normalized solutions for logarithmic Schrödinger–Bopp–Podolsky type system	7
The ground states of quasilinear Hénon equation with double weighted critical exponents	6
Solutions with prescribed mass for L2-supercritical NLS equations under Neumann boundary conditions	6
A note on the differentiability of discrete Palmer's linearization	6
PRM volume 152 issue 2 Cover and Front matter	5
Discrete heat equation with irregular thermal conductivity and tempered distributional data	5
On conformally flat minimal Legendrian submanifolds in the unit sphere	5
Remarks on a formula of Ramanujan	5
On the L-polynomials of curves over finite fields	5
Tropical graph curves	5
Structural stability of transonic shock flows with an external force	5

On mixed local–nonlocal problems with Hardy potential	5
The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates	5
Principal bundle structure of the space of metric measure spaces	5
Absence of singularities in solutions for the compressible Euler equations with source terms in	4
Isometric dilations for representations of product systems	4
PRM volume 152 issue 1 Cover and Front matter	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
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
Fractional interpolation inequality and radially symmetric ground states	4
Singular SPDEs on homogeneous lie groups	4
Commutativity properties of Quinn spectra	4
Weighted Lipschitz shadowing and generalized weighted limit shadowing for infinite-dimensional systems	4
Finite-time blow-up in a repulsive chemotaxis-consumption system	4
Borderline gradient continuity for fractional heat type operators	4
Sharp estimates for Gowers norms on discrete cubes	4
PRM volume 153 issue 4 Cover and Back matter	4
Fourier multipliers for Hardy spaces on graded Lie groups	4
Intersection Theorem for DG-modules over non-positive DG-rings	3
Geometry of tropical extensions of hyperfields	3
On the optimization of the first weighted eigenvalue	3
Anisotropic weighted isoperimetric inequalities for star-shaped and F-mean convex hypersurface	3
PRM volume 154 issue 5 Cover and Back matter	3
Quasi-hereditary covers of Temperley–Lieb algebras and relative dominant dimension	3
Equivariant parametrized topological complexity	3
Large Salem sets avoiding nonlinear configurations	3
Maximizing weighted sums of binomial coefficients using generalized continued fractions	3
Normalized ground state solutions for critical growth Schrödinger equations with Hardy potential	3
Wreath products and the non-coprime k ( GV ) problem	3
The affirmative answer to Singer's conjecture on the algebraic transfer of rank four	3
Multipeak solutions for fractional elliptic equations on conformal infinities	3
Additive energies of subsets of discrete cubes	3
Multiplicity of positive solutions for a class of nonhomogeneous elliptic equations in the hyperbolic space	3
Concentration behavior of normalized ground states for mass critical Kirchhoff equations in bounded domains	3
On the dimension theory of Okamoto’s function	3
Birkhoff spectrum for diagonally self-affine sets and digit frequencies for GLS systems with redundancy	3
The localisation theorem for the K-theory of stable ∞-categories	3
Symmetrized and non-symmetrized asymptotic mean value Laplacian in metric measure spaces	3
A remark on the well-posedness of the modified KdV equation in L2	3
PRM volume 152 issue 6 Cover and Front matter	2
Factorization structures, cones, and polytopes	2
Vanishing of Nil-terms and negative K-theory for additive categories	2
Zero-electron-mass limit of the compressible Navier–Stokes–Poisson equations with well/ill-prepared initial data	2
Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra	2
Error bounds for the asymptotic expansions of the Hermite polynomials	2
Flat model structures and Gorenstein objects in functor categories	2
Weak weight-semi-greedy Markushevich bases	2
Avoidance loci and tropicalizations of real bitangents to plane quartics	2
Delta-invariants of complete intersection log del Pezzo surfaces	2
PRM volume 153 issue 5 Cover and Front matter	2

Optimal inverse problems of potentials for two given eigenvalues of Sturm–Liouville problems	2
On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations	2
Index estimates of compact hypersurfaces in smooth metric measure spaces	2
Corrigendum: Dynamics of a susceptible—infected—susceptible epidemic reaction—diffusion model	2
Multiscale linearization of nonautonomous systems	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
Sharp conditions for the validity of the Bourgain–Brezis–Mironescu formula	2
Arens regularity of ideals of the group algebra of a compact Abelian group	2
Evans function, parity and nonautonomous bifurcations	2
Morse theory of Bestvina–Brady type for posets and matchings	2
Propagation of minima for nonlocal operators	2
On complete submanifolds with parallel normalized mean curvature in product spaces	2
The monostable cooperative system with nonlocal diffusion and free boundaries	2
The fundamental gap of a kind of sub-elliptic operator	2
Involutivity of distributions at points of superdense tangency with respect to normal currents	2
Distribution and moments of the error term in the lattice point counting problem for three-dimensional Cygan–Korányi balls	2
Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus	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
Regularity of quasigeodesics characterizes hyperbolicity	2
On a class of special Euler–Lagrange equations	2
On the topological complexity and zero-divisor cup-length of real Grassmannians	2
Linear actions of $\mathbb {Z}/p\times \mathbb {Z}/p$ on $S^{2n-1}\times S^{2n-1}$	2
Regular solutions to the dissipative Aw–Rascle system	2
Some results for semi-stable radial solutions of k-Hessian equations with weight on ℝn	2
On the oscillation of certain second-order linear differential equations	2
PRM volume 152 issue 6 Cover and Back matter	2
Bifurcations and pattern formation in a host–parasitoid model with nonlocal effect	2
Non-Hilbertian tangents to Hilbertian spaces	2
PRM volume 153 issue 6 Cover and Back matter	2
Surfaces of prescribed linear Weingarten curvature in	2
3D Navier–Stokes–Voigt equations with damping and double delays on unbounded domains: Well-posedness, pullback attractors, and limit measures	2
Double EPW sextics associated with Gushel–Mukai surfaces	2
Global boundedness and stabilization of solutions for a chemotaxis system with acceleration and logistic source	2
Stability and exponential decay for magnetohydrodynamic equations	2
Large deviation principle for slow-fast rough differential equations via controlled rough paths	2
Fractional time differential equations as a singular limit of the Kobayashi–Warren–Carter system	2
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes	2
PRM volume 153 issue 2 Cover and Back matter	1
PRM volume 153 issue 5 Cover and Back matter	1
Sharp Sobolev regularity of restricted X-ray transforms	1
Girth, magnitude homology and phase transition of diagonality	1
Convergence for the fractional p-Laplacian and its application to the extended Nirenberg problem	1
On the string topology of symmetric spaces of higher rank	1
Topologically free actions and ideals in twisted Banach algebra crossed products	1
Orbital stability of solitary wave solutions of the generalized Benjamin equation	1
The non-autonomous Navier–Stokes–Brinkman–Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors	1
Spectral asymptotics for linear elasticity: the case of mixed boundary conditions	1
Variation of the one-dimensional centered maximal operator on simple functions with gaps between pieces	1
Moduli space theory for complete, constant Q-curvature metrics on finitely punctured spheres	1
Radial and non-radial solutions for a class of (p, q)-Laplace equations involving weights	1
A note on right-nil and strong-nil skew braces	1
Subsymmetric exchanged braids and the Burau matrix	1
Pointwise Assouad dimension for measures	1
L p positivity preservation and self-adjointness of Schrödinger operators on incomplete Riemannian manifolds	1
On the non-properness set of a local homeomorphism	1
PRM volume 153 issue 1 Cover and Front matter	1
Adhesion and volume filling in one-dimensional population dynamics under Dirichlet boundary condition	1
Relaxation for an optimal design problem inBD(Ω)	1
A stability inequality for planar lens partition	1
Harnack inequality for the nonlocal equations with general growth	1
Two dynamical approaches to the notion of exponential separation for random systems of delay differential equations	1
Pressure live loads and the variational derivation of linear elasticity	1
Fence of saddle solutions of the Allen–Cahn equation in the plane	1
Equivariant covering type and the number of vertices in equivariant triangulations	1
The geometry of C1,α flat isometric immersions	1
Trend to equilibrium solution for the discrete Safronov–Dubovskiĭ aggregation equation with forcing	1
Pullback measure attractors for stochastic p-Laplacian parabolic equations on thin domains	1
BP-cohomology of projective Stiefel manifolds	1
Semilinear elliptic equations involving power nonlinearities and Hardy potentials with boundary singularities	1
On generalized eigenvalue problems of fractional (p, q)-Laplace operator with two parameters – CORRIGENDUM	1
On Lebesgue points of entropy solutions to the eikonal equation	1
Jumps, cusps, and fractals in the solution of the periodic linear Benjamin–Ono equation	1
Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups	1
Eternal solutions to a porous medium equation with strong non-homogeneous absorption. Part I: radially non-increasing profiles	1
Skew group categories, algebras associated to Cartan matrices and folding of root lattices	1
PRM volume 154 issue 3 Cover and Back matter	1
Iterates of meromorphic functions on escaping Fatou components	1

Equivalence between the functional equation and Voronoï-type summation identities for a class of L-functions	1
Torsion in classifying spaces of gauge groups	1
Stabilization of the Kawahara–Kadomtsev–Petviashvili equation with time-delayed feedback	1
Cartesian closed varieties II: links to algebra and self-similarity	1
Nonlinear elasticity with vanishing nonlocal self-repulsion	1
Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms	1
The structure of finite groups whose elements outside a normal subgroup have prime power orders	1
Sharp Hardy and spectral gap inequalities on special irreversible Finsler manifolds	1
Deformations of corank 1 frontals	1
Cavitation of a spherical body under mechanical and self-gravitational forces	1
Every locally compact group is the outer automorphism group of a II1 factor	1
Cohomology of restricted twisted Heisenberg Lie algebras	1
On a perturbed critical semilinear equation with singularity	1
Quantitative stability in fractional Hardy–Sobolev inequalities: the role of Euler–Lagrange equations	1
Fixed point conditions for non-coprime actions	1
Weakly concave operators	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
Synthetic versus distributional lower Ricci curvature bounds	1
Uniform bounds for polynomial Carleson operators and oscillatory integrals of Radon type	1
Strongly outer actions of certain torsion-free amenable groups on the Razak–Jacelon algebra	1
Generic properties of topological groups	1
Order continuity of Arens extensions of regular multilinear operators	1
Periodic solutions of four-order degenerate differential equations with finite delay in vector-valued function spaces	1
Nonrigidity of flat ribbons	1
On cohomogeneity one Hermitian non-Kähler metrics	1
Rotating periodic solutions for p-Laplacian differential systems	1
Global index of real polynomials	1
Unconditional convergence of eigenfunction expansions for abstract and elliptic operators	1
PRM volume 153 issue 3 Cover and Back matter	1
On the existence of a nodal solution for p-Laplacian equations depending on the gradient	1
On Fock covariance for product systems and the reduced Hao–Ng isomorphism problem by discrete actions	1
Andrew Ranicki	1
Spreading primitive groups of diagonal type do not exist	1
Semigroups of self-similar actions and higher rank Baumslag–Solitar semigroups	1
Thin Gordian unlinks	1
Weak porosity on metric measure spaces	1
Existence of minimizers of the stability constant of Caffarelli–Kohn–Nirenberg inequality	1
PRM volume 154 issue 1 Cover and Front matter	1
From the Mayer–Vietoris spectral sequence to überhomology	1
Measure data elliptic problems with generalized Orlicz growth	1
Shape index, Brouwer degree and Poincaré–Hopf theorem	1
A note on monotonicity and Bochner formulas in Carnot groups	1
Liouville property and quasi-isometries on negatively curved Riemannian surfaces	1
Duality pairs, phantom maps, and definability in triangulated categories	1
Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant	1
A new class of α-Farey maps and an application to normal numbers	1
A geometric interpretation of Ranicki duality	1
PRM volume 152 issue 5 Cover and Back matter	1
Connected sums of codimension two locally flat submanifolds	1
Nonchaotic N-expansive homeomorphisms	1
Arithmetic Ramsey theory over the primes	0
PRM volume 152 issue 4 Cover and Back matter	0
Desingularization of 2D elliptic free-boundary problem with non-autonomous nonlinearity	0
PRM volume 152 issue 3 Cover and Back matter	0
Equivariant stable sheaves and toric GIT	0
Rigidity for the perimeter inequality under Schwarz symmetrization	0
The Born approximation for the fixed energy Calderón problem	0
Nonexistence of anti-symmetric solutions for fractional Hardy–Hénon system	0
A sharp threshold for Trudinger–Moser type inequalities with logarithmic kernels in dimension N	0
Rigidity of mapping class groups MOD powers of twists	0
PRM volume 152 issue 2 Cover and Back matter	0
Homogeneous and curvature homogeneous Lorentzian critical metrics	0
Combined effects in mixed local–nonlocal stationary problems	0
Multiple solutions for some classes of non-linear elliptic equations with variable exponents	0
Diophantine approximations with restrained denominators. Balance condition on decay and growth rates	0
Reducing subspaces for rank-one perturbations of normal operators	0
Generic ill-posedness of the energy–momentum equations and differential inclusions	0
Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation	0
The exponential ordering for nonautonomous delay systems with applications to compartmental Nicholson systems	0
Schatten class composition operators on the Hardy space	0
A central limit theorem for partial transposes of multipartite Wishart matrices	0
Alexandrov sphere theorems for $ W^{2,n} $-hypersurfaces	0
Uniqueness of ground states to fractional nonlinear elliptic equations with harmonic potential	0
Optimization of the principal eigenvalue of the Neumann Laplacian with indefinite weight and monotonicity of minimizers in cylinders	0
Divergence of mock Fourier series for spectral measures	0
PRM volume 154 issue 6 Cover and Back matter	0
Global centres in a class of quintic polynomial differential systems	0
Infinite constant gap length trees in products of thick Cantor sets	0
On Riemann–Hilbert problem and multiple high-order pole solutions to the cubic Camassa–Holm equation	0
Cyclicity of period annulus for a class of quadratic reversible systems with a nonrational first integral	0
On averages of completely multiplicative functions over co-prime integer pairs	0
On the Hilbert scheme of smooth curves of degree d = 15 in $\mathbb{P}^5$	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
PRM volume 154 issue 4 Cover and Front matter	0
Existence and nonexistence of least energy positive solutions to critical Schrödinger systems with Hardy potential	0
Groundstates of the planar Schrödinger–Poisson system with potential well and lack of symmetry	0
Blow-up of cylindrically symmetric solutions for fractional NLS	0
Necessary and sufficient conditions for ground state solutions to planar Kirchhoff-type equations	0
Atypical bifurcation for periodic solutions of ϕ-Laplacian systems	0
Finite domination and Novikov homology over strongly $\mathbb {Z}^2$-graded rings	0
Spectral mapping theorems for essential spectra and regularized functional calculi	0
Variational method for fractional Hamiltonian system in bounded domain	0
PRM volume 152 issue 4 Cover and Front matter	0
Formation behaviour of the kinetic Cucker–Smale model with non-compact support	0