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	16
Brownian motion on the golden ratio Sierpinski gasket	16
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	11
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
On the linearized Whitham–Broer–Kaup system on bounded domains	8
Existence and concentration of normalized solutions for logarithmic Schrödinger–Bopp–Podolsky type system	8
Maximal noncompactness of limiting Sobolev embeddings	8
The ground states of quasilinear Hénon equation with double weighted critical exponents	7
Solutions with prescribed mass for L2-supercritical NLS equations under Neumann boundary conditions	7
A note on the differentiability of discrete Palmer's linearization	7
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations	7
On mixed local–nonlocal problems with Hardy potential	6
Structural stability of transonic shock flows with an external force	5
Remarks on a formula of Ramanujan	5
Commutativity properties of Quinn spectra	5
Principal bundle structure of the space of metric measure spaces	5
Blow-up for the wave equation with nonlinear source and boundary damping terms – CORRIGENDUM	5
Tropical graph curves	5
Finite-time blow-up in a repulsive chemotaxis-consumption system	5
PRM volume 153 issue 4 Cover and Back matter	5

On the L-polynomials of curves over finite fields	5
Axisymmetric stationary surfaces for the moment of inertia	5
Discrete heat equation with irregular thermal conductivity and tempered distributional data	5
Weighted Lipschitz shadowing and generalized weighted limit shadowing for infinite-dimensional systems	5
On the dimension theory of Okamoto’s function	4
Sharp estimates for Gowers norms on discrete cubes	4
Isometric dilations for representations of product systems	4
On a localization-in-frequency approach for a class of elliptic problems with singular boundary data	4
Fractional interpolation inequality and radially symmetric ground states	4
Maximizing weighted sums of binomial coefficients using generalized continued fractions	4
Multiplicity of positive solutions for a class of nonhomogeneous elliptic equations in the hyperbolic space	4
Geometry of tropical extensions of hyperfields	4
On conformally flat minimal Legendrian submanifolds in the unit sphere	4
Fourier multipliers for Hardy spaces on graded Lie groups	4
Borderline gradient continuity for fractional heat type operators	4
Concentration behavior of normalized ground states for mass critical Kirchhoff equations in bounded domains	4
Normalized ground state solutions for critical growth Schrödinger equations with Hardy potential	4
Large Salem sets avoiding nonlinear configurations	4
The rigidity of filtered colimits of n-cluster tilting subcategories	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
On the optimization of the first weighted eigenvalue	4
PRM volume 154 issue 5 Cover and Back matter	3
Multipeak solutions for fractional elliptic equations on conformal infinities	3
A remark on the well-posedness of the modified KdV equation in L2	3
Arens regularity of ideals of the group algebra of a compact Abelian group	3
Evans function, parity and nonautonomous bifurcations	3
Morse theory of Bestvina–Brady type for posets and matchings	3
Intersection Theorem for DG-modules over non-positive DG-rings	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 energy dissipation phenomena for Navier–Stokes equations of compressible fluid flow	3
Some results for semi-stable radial solutions of k-Hessian equations with weight on ℝn	3
The affirmative answer to Singer's conjecture on the algebraic transfer of rank four	3
Equivariant parametrized topological complexity	3
Bifurcations and pattern formation in a host–parasitoid model with nonlocal effect	3
Anisotropic weighted isoperimetric inequalities for star-shaped and F-mean convex hypersurface	3
Additive energies of subsets of discrete cubes	3
The localisation theorem for the K-theory of stable ∞-categories	3
Quasi-hereditary covers of Temperley–Lieb algebras and relative dominant dimension	3
Zero-electron-mass limit of the compressible Navier–Stokes–Poisson equations with well/ill-prepared initial data	3
Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra	3
On the oscillation of certain second-order linear differential equations	3
Wreath products and the non-coprime k ( GV ) problem	3
On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations	2
Multiscale linearization of nonautonomous systems	2
Linear actions of $\mathbb {Z}/p\times \mathbb {Z}/p$ on $S^{2n-1}\times S^{2n-1}$	2
Order continuity of Arens extensions of regular multilinear operators	2
Toeplitz determinants with a one-cut regular potential and Fisher–Hartwig singularities I. Equilibrium measure supported on the unit circle	2
Fence of saddle solutions of the Allen–Cahn equation in the plane	2

PRM volume 152 issue 6 Cover and Back matter	2
Double EPW sextics associated with Gushel–Mukai surfaces	2
Unconditional convergence of eigenfunction expansions for abstract and elliptic operators	2
Factorization structures, cones, and polytopes	2
Threshold dynamics of a time-periodic SIS model with anomalous diffusion in heterogeneous environments	2
On Lebesgue points of entropy solutions to the eikonal equation	2
Optimal inverse problems of potentials for two given eigenvalues of Sturm–Liouville problems	2
Trend to equilibrium solution for the discrete Safronov–Dubovskiĭ aggregation equation with forcing	2
Surfaces of prescribed linear Weingarten curvature in	2
Sharp conditions for the validity of the Bourgain–Brezis–Mironescu formula	2
Convergence for the fractional p-Laplacian and its application to the extended Nirenberg problem	2
The monostable cooperative system with nonlocal diffusion and free boundaries	2
Regularity of quasigeodesics characterizes hyperbolicity	2
Eternal solutions to a porous medium equation with strong non-homogeneous absorption. Part I: radially non-increasing profiles	2
Singularities of 3-parameter line congruences in	2
On a class of special Euler–Lagrange equations	2
Global boundedness and stabilization of solutions for a chemotaxis system with acceleration and logistic source	2
PRM volume 152 issue 6 Cover and Front matter	2
Vanishing of Nil-terms and negative K-theory for additive categories	2
PRM volume 154 issue 3 Cover and Back matter	2
Involutivity of distributions at points of superdense tangency with respect to normal currents	2
Nonrigidity of flat ribbons	2
The fundamental gap of a kind of sub-elliptic operator	2
Delta-invariants of complete intersection log del Pezzo surfaces	2
Strongly outer actions of certain torsion-free amenable groups on the Razak–Jacelon algebra	2
Equivariant and invariant parametrized topological complexity	2
Concavity of spacetimes	2
Quantitative stability in fractional Hardy–Sobolev inequalities: the role of Euler–Lagrange equations	2
Topological regularity of isoperimetric sets in PI spaces having a deformation property	2
Orbital stability of solitary wave solutions of the generalized Benjamin equation	2
Weak weight-semi-greedy Markushevich bases	2
PRM volume 153 issue 6 Cover and Back matter	2
PRM volume 153 issue 5 Cover and Back matter	2
Distribution and moments of the error term in the lattice point counting problem for three-dimensional Cygan–Korányi balls	2
Flat model structures and Gorenstein objects in functor categories	2
Fractional time differential equations as a singular limit of the Kobayashi–Warren–Carter system	2
Higher topological complexity of Seifert fibred manifolds	2
Avoidance loci and tropicalizations of real bitangents to plane quartics	2
The homotopy decomposition of the suspension of a non-simply-connected five-manifold – ADDENDUM	2
3D Navier–Stokes–Voigt equations with damping and double delays on unbounded domains: Well-posedness, pullback attractors, and limit measures	2
PRM volume 152 issue 5 Cover and Back matter	2
Large deviation principle for slow-fast rough differential equations via controlled rough paths	2
The non-autonomous Navier–Stokes–Brinkman–Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors	2
Regular solutions to the dissipative Aw–Rascle system	2
Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups	2
Propagation of minima for nonlocal operators	2
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes	2
On generalized eigenvalue problems of fractional (p, q)-Laplace operator with two parameters – CORRIGENDUM	2
On the string topology of symmetric spaces of higher rank	2
Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group	2
Global index of real polynomials	2
Superlinear problems involving nonlinear superposition operators of mixed fractional order	2
PRM volume 153 issue 5 Cover and Front matter	2
Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant	2
Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus	2
Index estimates of compact hypersurfaces in smooth metric measure spaces	2
Jumps, cusps, and fractals in the solution of the periodic linear Benjamin–Ono equation	1
On BMO and Hardy regularity estimates for a class of non-local elliptic equations	1
Liouville property and quasi-isometries on negatively curved Riemannian surfaces	1
PRM volume 153 issue 1 Cover and Front matter	1
Variation of the one-dimensional centered maximal operator on simple functions with gaps between pieces	1
Pin ± -structures on non-oriented 4-manifolds via Lefschetz fibrations	1
Moduli space theory for complete, constant Q-curvature metrics on finitely punctured spheres	1
PRM volume 153 issue 2 Cover and Back matter	1
From the Mayer–Vietoris spectral sequence to überhomology	1
Note on almost isometric ideals and local retracts in Banach and metric spaces	1
A new class of α-Farey maps and an application to normal numbers	1
A geometric interpretation of Ranicki duality	1
Thin Gordian unlinks	1
A note on energy equality for the fractional Navier-Stokes equations	1
Shape index, Brouwer degree and Poincaré–Hopf theorem	1
Weakly concave operators	1
A note on monotonicity and Bochner formulas in Carnot groups	1
Cyclicity of rigid centres on centre manifolds of three-dimensional systems	1
Generic properties of topological groups	1
Radial solvability for Pucci-Lane-Emden systems in annuli	1
Existence of minimizers of the stability constant of Caffarelli–Kohn–Nirenberg inequality	1
Behaviour of solutions to p-Laplacian with Robin boundary conditions as p goes to 1	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
Spatio-temporal dynamics of a lattice prey–predator system with non-local diffusion in a periodic habitat	1

L p positivity preservation and self-adjointness of Schrödinger operators on incomplete Rie	1
Cohomology of restricted twisted Heisenberg Lie algebras	1
Pullback measure attractors for stochastic p-Laplacian parabolic equations on thin domains	1
Four-dimensional Lorentzian algebraic Ricci solitons	1
Synthetic versus distributional lower Ricci curvature bounds	1
On the non-properness set of a local homeomorphism	1
Cartesian closed varieties II: links to algebra and self-similarity	1
PRM volume 153 issue 3 Cover and Back matter	1
SU(2)-bundles over highly connected 8-manifolds	1
Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms	1
Cavitation of a spherical body under mechanical and self-gravitational forces	1
A note on right-nil and strong-nil skew braces	1
The boundary value problem for triholomorphic maps	1
Two dynamical approaches to the notion of exponential separation for random systems of delay differential equations	1
On a perturbed critical semilinear equation with singularity	1
Spectral asymptotics for linear elasticity: the case of mixed boundary conditions	1
Normalized positive solutions for Schrödinger equations with potentials in unbounded domains	1
On the existence of a nodal solution for p-Laplacian equations depending on the gradient	1
Unit fractions with shifted prime denominators	1
The structure of finite groups whose elements outside a normal subgroup have prime power orders	1
PRM volume 153 issue 1 Cover and Back matter	1
Harnack inequality for the nonlocal equations with general growth	1
A stability inequality for planar lens partition	1
Semilinear elliptic equations involving power nonlinearities and Hardy potentials with boundary singularities	1
Global classical solution to the chemotaxis-Navier-Stokes system with some realistic boundary conditions	1
On Fock covariance for product systems and the reduced Hao–Ng isomorphism problem by discrete actions	1
Genus g Cantor sets and germane Julia sets	1
Rotating periodic solutions for p-Laplacian differential systems	1
Radial and non-radial solutions for a class of (p, q)-Laplace equations involving weights	1
The two membranes problem in a regular tree	1
Equivariant covering type and the number of vertices in equivariant triangulations	1
Stabilization of the Kawahara–Kadomtsev–Petviashvili equation with time-delayed feedback	1
Pressure live loads and the variational derivation of linear elasticity	1
Skew group categories, algebras associated to Cartan matrices and folding of root lattices	1
Andrew Ranicki	1
Adhesion and volume filling in one-dimensional population dynamics under Dirichlet boundary condition	1
Topologically free actions and ideals in twisted Banach algebra crossed products	1
Pointwise Assouad dimension for measures	1
Deformations of corank 1 frontals	1
PRM volume 154 issue 1 Cover and Front matter	1
Iterates of meromorphic functions on escaping Fatou components	1
Existence and symmetry breaking results for a Hénon-type equation with Grushin operator	1
Connected sums of codimension two locally flat submanifolds	1
Girth, magnitude homology and phase transition of diagonality	1
Weak porosity on metric measure spaces	1
Nowhere scattered multiplier algebras	1
Fixed point conditions for non-coprime actions	1
Duality pairs, phantom maps, and definability in triangulated categories	1
On a degenerate diffusive free boundary model for rabies in fox populations	1
Double points and image of reflection maps	1
Semigroups of self-similar actions and higher rank Baumslag–Solitar semigroups	1
Uniform bounds for polynomial Carleson operators and oscillatory integrals of Radon type	1
Every locally compact group is the outer automorphism group of a II1 factor	1
Fractal dimension of potential singular points set in the Navier–Stokes equations under supercritical regularity	1
Hybrid subconvexity for Maass form symmetric-square L -functions	1
Nonchaotic N-expansive homeomorphisms	1
On some nonlinear Schrödinger equations in ℝN	1
Torsion in classifying spaces of gauge groups	1
A mathematical analysis of the Kakinuma model for interfacial gravity waves. Part II: justification as a shallow water approximation	1
Sharp Sobolev regularity of restricted X-ray transforms	1
PRM volume 153 issue 4 Cover and Front matter	1
The geometry of C 1, α flat isometric immersions	1
Equivalence between the functional equation and Voronoï-type summation identities for a class of L-functions	1
Subsymmetric exchanged braids and the Burau matrix	1
Spreading primitive groups of diagonal type do not exist	1
Nonlinear elasticity with vanishing nonlocal self-repulsion	1
Periodic solutions of four-order degenerate differential equations with finite delay in vector-valued function spaces	1
Sharp Hardy and spectral gap inequalities on special irreversible Finsler manifolds	1
On the Γ-limit of weighted fractional energies	0
Intrinsic stochastic differential equations and the extended Itô formula on manifolds	0
On classification of singular matrix difference equations of mixed order	0
PRM volume 154 issue 6 Cover and Back matter	0
Stability properties of multidimensional symmetric hyperbolic systems with damping, differential constraints and delay	0
Atypical bifurcation for periodic solutions of ϕ-Laplacian systems	0
Optimization of the principal eigenvalue of the Neumann Laplacian with indefinite weight and monotonicity of minimizers in cylinders	0
Groundstates of the planar Schrödinger–Poisson system with potential well and lack of symmetry	0
A note on the Maxwell’s eigenvalues on thin sets	0
Homogeneous and curvature homogeneous Lorentzian critical metrics	0
Liouville-type theorems for the quasilinear elliptic equation and inequality with logarithmic nonlinearity	0
Conformally Kähler structures	0
Differential Harnack estimates for a weighted nonlinear parabolic equation under a super Perelman–Ricci flow and implications	0
A note on time-asymptotic bounds with a sharp algebraic rate and a transitional exponent for the sublinear Fujita problem	0
Multiple solutions for some classes of non-linear elliptic equations with variable exponents	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
Divergence of mock Fourier series for spectral measures	0
Incidence geometry and polynomial expansion over finite fields	0
Is the Sacker–Sell type spectrum equal to the contractible set?	0
Nonlocal carrier’s double phase problem	0
Finite domination and Novikov homology over strongly $\mathbb {Z}^2$-graded rings	0
Rigidity for the perimeter inequality under Schwarz symmetrization	0
Variational method for fractional Hamiltonian system in bounded domain	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
Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation	0