Proceedings of the Royal Society of Edinburgh Section A-Mathematics

Article	Citations
Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains	41
On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative	20
Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case	18
Spreading speeds and traveling wave solutions of diffusive vector-borne disease models without monotonicity	12
Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy	11
A new classification on parallel Ricci tensor for real hypersurfaces in the complex quadric	9
Lp-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions	8
Measure data elliptic problems with generalized Orlicz growth	8
On a backward problem for nonlinear time fractional wave equations	7
Global well-posedness and decay estimates for three-dimensional compressible Navier–Stokes–Allen–Cahn systems	7
On the commuting probability for subgroups of a finite group	7
Two-phase Stokes flow by capillarity in full 2D space: an approach via hydrodynamic potentials	6
One-relator groups and algebras related to polyhedral products	6
Combined effects in mixed local–nonlocal stationary problems	6
New variable martingale Hardy spaces	6
Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system	6
Brittle fracture in linearly elastic plates	6
Harnack inequality for the nonlocal equations with general growth	6
Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth	5
On some nonlinear Schrödinger equations in ℝN	5
Global regularity for the micropolar Rayleigh-Bénard problem with only velocity dissipation	5
Inverse nodal problems on quantum tree graphs	5
Dyadic John–Nirenberg space	5
The convergence rate of the fast signal diffusion limit for a Keller–Segel–Stokes system with large initial data	5
The affirmative answer to Singer's conjecture on the algebraic transfer of rank four	5

Asymptotic stability of rarefaction wave for the compressible Navier‐Stokes‐Korteweg equations in the half space	5
Global regularity criterion for the dissipative systems modelling electrohydrodynamics involving the middle eigenvalue of the strain tensor	4
Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations	4
Existence and nonexistence results for a class of Hamiltonian Choquard-type elliptic systems with lower critical growth on ℝ2	4
A revisit to “On BMO and Carleson measures on Riemannian manifolds”	4
Large number of bubble solutions for a fractional elliptic equation with almost critical exponents	4
Corrigendum: Dynamics of a susceptible—infected—susceptible epidemic reaction—diffusion model	4
The identity G(D)f = F for a linear partial differential operator G(D). Lusin type and structure results in the non-integrable case	4
Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy	4
Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis	4
Global classical solution to the chemotaxis-Navier-Stokes system with some realistic boundary conditions	4
Discrete heat equation with irregular thermal conductivity and tempered distributional data	4
Existence and multiplicity of periodic solutions to differential equations with attractive singularities	4
Large deviations for a class of tempered subordinators and their inverse processes	4
On cohomogeneity one Hermitian non-Kähler metrics	4
Homotopy of gauge groups over high-dimensional manifolds	4
Finite-time blow-up in a repulsive chemotaxis-consumption system	4
On regularity properties of a surface growth model	3
A weighted Trudinger–Moser inequalities and applications to some weighted Laplacian equation in with new exponential growth conditions	3
Travelling wave fronts of Lotka-Volterra reaction-diffusion system in the weak competition case	3
Hardy–Littlewood–Sobolev inequality and existence of the extremal functions with extended kernel	3
The monostable cooperative system with nonlocal diffusion and free boundaries	3
Right-angled Artin groups, polyhedral products and the -generating function	3
On the spectrum of non-self-adjoint Dirac operators with quasi-periodic boundary conditions	3
Regularity criterion on the energy conservation for the compressible Navier–Stokes equations	3
Sharp Caffarelli–Kohn–Nirenberg inequalities on Riemannian manifolds: the influence of curvature	3
Spectral mapping theorems for essential spectra and regularized functional calculi	3
Bismut Ricci flat manifolds with symmetries	3
Fourier multipliers for Hardy spaces on graded Lie groups	3
Topological volumes of fibrations: a note on open covers	3
Topological complexity of real Grassmannians	3
On complete submanifolds with parallel normalized mean curvature in product spaces	3
Compact groups in which all elements have countable right Engel sinks	3
Lifting of recollements and gluing of partial silting sets	3
Formation behaviour of the kinetic Cucker–Smale model with non-compact support	3
Uniqueness for a high order ill posed problem	3
A note on monotonicity and Bochner formulas in Carnot groups	3
Coisotropic Ekeland–Hofer capacities	3
Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers	2
Γ-convergence and stochastic homogenization of degenerate integral functionals in weighted Sobolev spaces	2
Optimal Hardy-weights for the (p, A)-Laplacian with a potential term	2
Behaviour of solutions to p-Laplacian with Robin boundary conditions as p goes to 1	2
Anisotropic Gauss curvature flows and their associated Dual Orlicz-Minkowski problems	2
Spreading dynamics of a discrete Nicholson's blowflies equation with distributed delay	2
Integral representation of hydraulic permeability	2
A derivation of the Liouville equation for hard particle dynamics with non-conservative interactions	2
Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line	2
On the fractional Lazer-McKenna conjecture with critical growth	2
Relaxation for an optimal design problem inBD(Ω)	2
Concentration behaviour of normalized ground states of the mass critical fractional Schrödinger equations with ring-shaped potentials	2

Synthetic versus distributional lower Ricci curvature bounds	2
The second moment of symmetric square L-functions over Gaussian integers	2
Asymptotic formulas of the eigenvalues for the linearization of the scalar field equation	2
Minimal energy for geometrically nonlinear elastic inclusions in two dimensions	2
A Berestycki–Lions type result for a class of degenerate elliptic problems involving the Grushin operator	2
Dual exponential polynomials and a problem of Ozawa	2
Stability and exponential decay for magnetohydrodynamic equations	2
On the number of conjugacy classes of a primitive permutation group	2
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations	2
Borderline gradient continuity for fractional heat type operators	2
Classification of simple Harish–Chandra modules over the Ovsienko–Roger superalgebra	2
The Fourier extension operator of distributions in Sobolev spaces of the sphere and the Helmholtz equation	2
Recollements, comma categories and morphic enhancements	2
A Jordan–Hölder theorem for skew left braces and their applications to multipermutation solutions of the Yang–Baxter equation	2
Spectral properties of a beam equation with eigenvalue parameter occurring linearly in the boundary conditions	2
The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates	2
Optimal inverse problems of potentials for two given eigenvalues of Sturm–Liouville problems	2
On finite groups with exactly one vanishing conjugacy class size	2
Weighted estimates for Bochner–Riesz operators on Lorentz spaces	2
Democracy of quasi-greedy bases in -Banach spaces with applications to the efficiency of the Thresholding Greedy Algorithm in the Hardy spaces	1
The cyclicity of the period annulus of a reversible quadratic system	1
On generalized eigenvalue problems of fractional (p,q)-Laplace operator with two parameters	1
On the energy equality for very weak solutions to 3D MHD equations	1
On a quasilinear elliptic problem involving the 1-Laplacian operator and a discontinuous nonlinearity	1
Symmetrized and non-symmetrizedasymptotic mean value Laplacian in metric measure spaces	1
On the oscillation of certain second-order linear differential equations	1
Derived homotopy algebras	1
Stabilization of the Kawahara–Kadomtsev–Petviashvili equation with time-delayed feedback	1
Involutivity of distributions at points of superdense tangency with respect to normal currents	1
Compact and weakly compact Lipschitz operators	1
On stability for generalized linear differential equations and applications to impulsive systems	1
The fundamental gap of a kind of sub-elliptic operator	1
Divergence of mock Fourier series for spectral measures	1
The ground states of quasilinear Hénon equation with double weighted critical exponents	1
RETRACTED - Compact reduction in Lipschitz-free spaces	1
Wold decomposition on odometer semigroups	1
Normalized positive solutions for Schrödinger equations with potentials in unbounded domains	1
The dual tree of a fold map germ from to	1
Global existence and large time behaviour for the pressureless Euler–Naver–Stokes system in ℝ3	1
On the Γ-convergence of the Allen–Cahn functional with boundary conditions	1
Periodic solutions for one-dimensional nonlinear nonlocal problem with drift including singular nonlinearities	1
Index estimates for closed minimal submanifolds of the sphere	1
Extending linear growth functionals to functions of bounded fractional variation	1
Lipschitz-free spaces and subsets of finite-dimensional spaces	1
Concentration phenomena for fractional magnetic NLS equations	1
Weak weight-semi-greedy Markushevich bases	1
Toeplitz determinants with a one-cut regular potential and Fisher–Hartwig singularities I. Equilibrium measure supported on the unit circle	1
Conley index for manifold-valued retarded functional differential equations without uniqueness of solutions	1
Pressure live loads and the variational derivation of linear elasticity	1
Multiscale linearization of nonautonomous systems	1
Groundstates of the planar Schrödinger–Poisson system with potential well and lack of symmetry	1
Surfaces of prescribed linear Weingarten curvature in	1
On the global existence of solutions to chemotaxis system for two populations in dimension two	1
Sharp Sobolev regularity of restricted X-ray transforms	1
Local well-posedness and global analyticity for solutions of a generalized 0-equation	1
Spiraling solutions of nonlinear Schrödinger equations	1
Equivariant stable sheaves and toric GIT	1
On isometric embeddability of $S_q^m$ into $S_p^n$ as non-commutative quasi-Banach spaces	1
Well-posedness of the free surface problem on a Newtonian fluid between cylinders rotating at different speeds	1
Variational characterizations of weighted Hardy spaces and weighted spaces	1
Catenaries and minimal surfaces of revolution in hyperbolic space	1
Reducing subspaces for rank-one perturbations of normal operators	1
Topological regularity of isoperimetric sets in PI spaces having a deformation property	1
A characterization of alternating links in thickened surfaces	1
Parrondo's paradox for homoeomorphisms	1
Equivalent criterion for the grand Riemann hypothesis associated with Maass cusp forms	1
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes	1
The family signature theorem	1
On the topological complexity and zero-divisor cup-length of real Grassmannians	1
Nonrigidity of flat ribbons	1
Asymptotic profiles of a nonlocal dispersal SIS epidemic model with saturated incidence	1
Zero-electron-mass limit of the compressible Navier–Stokes–Poisson equations with well/ill-prepared initial data	1
On Lebesgue points of entropy solutions to the eikonal equation	1
Nonlinear elasticity with vanishing nonlocal self-repulsion	1
Homogeneous and curvature homogeneous Lorentzian critical metrics	1
The geometry of C1,α flat isometric immersions	1
Qualitative properties of singular solutions to fractional elliptic equations	1
Some results for semi-stable radial solutions of k-Hessian equations with weight on ℝn	1
Error bounds for the asymptotic expansions of the Hermite polynomials	1
A new inner approach for differential subordinations	1

Second-kind symmetric periodic orbits for planar perturbed Kepler problems and applications	1
Riemannian approximation in Carnot groups	1
Deformations of corank 1 frontals	1
The exponential ordering for nonautonomous delay systems with applications to compartmental Nicholson systems	1
Generalized small cancellation conditions, non-positive curvature and diagrammatic reducibility	1
Symmetry via the moving plane method for a class of quasilinear elliptic problems involving the Hardy potential	1
Existence of solution for elliptic equations with supercritical Trudinger–Moser growth	1
Gabber rigidity in hermitian K-theory	1
Quasi-hereditary covers of Temperley–Lieb algebras and relative dominant dimension	1
The cohomology rings of real toric spaces and smooth real toric varieties	1
2-dimensional Coxeter groups are biautomatic	1
Bifurcation structure of coexistence states for a prey–predator model with large population flux by attractive transition	1
Effect of the location of a protection zone in a reaction–diffusion model	1
Estimate, existence and nonexistence of positive solutions of Hardy–Hénon equations	1
Sharp convergence for sequences of Schrödinger means and related generalizations	1
A note on the differentiability of discrete Palmer's linearization	1
Nowhere scattered multiplier algebras	1
Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres	1
On the optimization of the first weighted eigenvalue	1
Singularities of 3-parameter line congruences in	1
Infinite constant gap length trees in products of thick Cantor sets	1
Propagation of minima for nonlocal operators	1
Lorentz and Gale–Ryser theorems on general measure spaces	1
Differential Harnack estimates for a weighted nonlinear parabolic equation under a super Perelman–Ricci flow and implications	1
Existence of weak solutions to an anisotropic parabolic–parabolic chemotaxis system	0
Structural stability of transonic shock flows with an external force	0
Locations of interior transition layers to inhomogeneous transition problems in higher -dimensional domains	0
PRM volume 154 issue 2 Cover and Back matter	0
Shape index, Brouwer degree and Poincaré–Hopf theorem	0
On the dimension of planar self-affine sets with non-invertible maps	0
From the Mayer–Vietoris spectral sequence to überhomology	0
On the linearized Whitham–Broer–Kaup system on bounded domains	0
On regular algebraic hypersurfaces with non-zero constant mean curvature in Euclidean spaces	0
PRM volume 152 issue 6 Cover and Front matter	0
Girth, magnitude homology and phase transition of diagonality	0
The Fokker–Planck equation for the time-changed fractional Ornstein–Uhlenbeck stochastic process	0
PRM volume 152 issue 2 Cover and Front matter	0
Flat model structures and Gorenstein objects in functor categories	0
Coupling capacity in C*-algebras	0
Invariant set generated by a nonreal number is everywhere dense	0
Pointwise Assouad dimension for measures	0
PRM volume 151 issue 3 Cover and Back matter	0
PRM volume 152 issue 6 Cover and Back matter	0
On the first eigenvalue of the Laplace operator for compact spacelike submanifolds in Lorentz–Minkowski spacetime ?m	0
Remarks on countable subadditivity	0
Various topological complexities of small covers and real Bott manifolds	0
PRM volume 153 issue 3 Cover and Back matter	0
On two congruence conjectures of Z.-W. Sun involving Franel numbers	0
Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold	0
Karamata's theorem for regularized Cauchy transforms	0
On a class of special Euler–Lagrange equations	0
Nonlocal anisotropic interactions of Coulomb type	0
Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group	0
PRM volume 153 issue 6 Cover and Front matter	0
Decay at infinity for solutions to some fractional parabolic equations	0
PRM volume 154 issue 5 Cover and Front matter	0
Tropical graph curves	0
Spectral asymptotics for linear elasticity: the case of mixed boundary conditions	0
The existence of unbounded solutions of asymmetric oscillations in the degenerate resonant case	0
On k-folding map-germs and hidden symmetries of surfaces in the Euclidean 3-space	0
Reconstruction of topological graphs and their Hilbert bimodules	0
Iterates of meromorphic functions on escaping Fatou components	0
Discs area-minimizing in mean convex Riemanniann-manifolds	0
On a critical time-harmonic Maxwell equation in nonlocal media	0
The mod-p homology of the classifying spaces of certain gauge groups	0
Exponential decay for the KdV equation on ℝ with new localized dampings	0
PRM volume 152 issue 3 Cover and Front matter	0
Stability of concordance embeddings	0
Avoidance loci and tropicalizations of real bitangents to plane quartics	0
On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations	0
Robustness of nonuniform mean-square exponential dichotomies	0
On large solutions for fractional Hamilton–Jacobi equations	0
On a class of self-similar sets which contain finitely many common points	0
PRM volume 154 issue 2 Cover and Front matter	0
Classification of simple smooth modules over the Heisenberg–Virasoro algebra	0
Sharp gradient estimate, rigidity and almost rigidity of Green functions on non-parabolic RCD(0, N) spaces	0
The effects of diffusion on the principal eigenvalue for age-structured models with random diffusion	0
Semilinear elliptic equations involving power nonlinearities and Hardy potentials with boundary singularities	0
Decay of weak solutions to Vlasov equation coupled with a shear thickening fluid	0
PRM volume 151 issue 1 Cover and Front matter	0
Intersection configurations in free and free times free-abelian groups	0
Remarks on a formula of Ramanujan	0
The homotopy classification of four-dimensional toric orbifolds	0
PRM volume 151 issue 2 Cover and Back matter	0
On a class of difference operator and its applications to a family of analytic functions	0
PRM volume 151 issue 5 Cover and Back matter	0
Index estimates of compact hypersurfaces in smooth metric measure spaces	0
PRM volume 153 issue 6 Cover and Back matter	0
A short proof that ℬ(L1) is not amenable	0
Adhesion and volume filling in one-dimensional population dynamics under Dirichlet boundary condition	0
PRM volume 151 issue 4 Cover and Back matter	0
Fixed point sets and the fundamental group II: Euler characteristics	0
Sharp conditions for the validity of the Bourgain–Brezis–Mironescu formula	0
PRM volume 154 issue 4 Cover and Back matter	0
Brownian motion on the golden ratio Sierpinski gasket	0