Proceedings of the Royal Society of Edinburgh Section A-Mathematics

Article	Citations
Semilinear elliptic equations involving mixed local and nonlocal operators	43
Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains	35
An n-dimensional chemotaxis system with signal-dependent motility and generalized logistic source: global existence and asymptotic stabilization	27
Concentration of positive solutions for a class of fractionalp-Kirchhoff type equations	25
Controllability of stochastic nonlinear oscillating delay systems driven by the Rosenblatt distribution	23
On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative	21
Shadowing for infinite dimensional dynamics and exponential trichotomies	16
Local minimizers in absence of ground states for the critical NLS energy on metric graphs	15
Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case	12
Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy	11
Stochastic differential equations driven by fractional Brownian motion with locally Lipschitz drift and their implicit Euler approximation	10
Spreading speeds and traveling wave solutions of diffusive vector-borne disease models without monotonicity	9
Invariant Gibbs dynamics for the dynamical sine-Gordon model	9
Existence results for the Kudryashov–Sinelshchikov–Olver equation	9
A new classification on parallel Ricci tensor for real hypersurfaces in the complex quadric	8
Immediate smoothing and global solutions for initial data inL1×W1,2in a Keller–Segel system with logistic terms in 2D	8
Lp-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions	8
Heavy-tailed branching random walks on multidimensional lattices. A moment approach	7
On the policy improvement algorithm for ergodic risk-sensitive control	7
Edwards' condition for quasitraces on C*-algebras	7
Two-phase Stokes flow by capillarity in full 2D space: an approach via hydrodynamic potentials	6
Semi-classical solutions for Kirchhoff type problem with a critical frequency	6
Isolas of multi-pulse solutions to lattice dynamical systems	6
Measure data elliptic problems with generalized Orlicz growth	6
Brittle fracture in linearly elastic plates	5

Some further results on the nonlocal p-Laplacian type problems	5
Embeddings of homogeneous Sobolev spaces on the entire space	5
Asymptotic stability of rarefaction wave for the compressible Navier‐Stokes‐Korteweg equations in the half space	5
Transition waves for lattice Fisher-KPP equations with time and space dependence	5
One-relator groups and algebras related to polyhedral products	5
Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system	4
On cohomogeneity one Hermitian non-Kähler metrics	4
Multiple bound states of higher topological type for semi-classical Choquard equations	4
Hardy type inequalities on closed manifolds via Ricci curvature	4
Finite-time blow-up in a repulsive chemotaxis-consumption system	4
Global regularity for the micropolar Rayleigh-Bénard problem with only velocity dissipation	4
On solvable groups with one vanishing class size	4
Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis	4
The convergence rate of the fast signal diffusion limit for a Keller–Segel–Stokes system with large initial data	4
Minimal surfaces with elastic and partially elastic boundary	4
On a backward problem for nonlinear time fractional wave equations	4
Well-posedness for nonlinear SPDEs with strongly continuous perturbation	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
On the commuting probability for subgroups of a finite group	4
Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth	4
Stability of periodic waves for the fractional KdV and NLS equations	4
Dyadic John–Nirenberg space	4
New variable martingale Hardy spaces	4
Existence and multiplicity of periodic solutions to differential equations with attractive singularities	4
Combined effects in mixed local–nonlocal stationary problems	3
On some nonlinear Schrödinger equations in ℝN	3
Global classical solution to the chemotaxis-Navier-Stokes system with some realistic boundary conditions	3
Large deviations for a class of tempered subordinators and their inverse processes	3
Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations	3
Inverse nodal problems on quantum tree graphs	3
A dynamic thermo-mechanical actuator system with contact and Barber's heat exchange boundary conditions	3
The affirmative answer to Singer's conjecture on the algebraic transfer of rank four	3
Uniqueness for a high order ill posed problem	3
Topological complexity of real Grassmannians	3
On complete submanifolds with parallel normalized mean curvature in product spaces	3
Non-monotone waves of a stage-structured SLIRM epidemic model with latent period	3
Compact groups in which all elements have countable right Engel sinks	3
Harnack inequality for the nonlocal equations with general growth	3
Quasilinear elliptic inequalities with Hardy potential and nonlocal terms	3
Existence and nonexistence results for a class of Hamiltonian Choquard-type elliptic systems with lower critical growth on ℝ2	3
Lifting of recollements and gluing of partial silting sets	2
Concentration behaviour of normalized ground states of the mass critical fractional Schrödinger equations with ring-shaped potentials	2
Bismut Ricci flat manifolds with symmetries	2
On the relaxation of integral functionals depending on the symmetrized gradient	2
Homotopy of gauge groups over high-dimensional manifolds	2
Global regularity criterion for the dissipative systems modelling electrohydrodynamics involving the middle eigenvalue of the strain tensor	2
Existence and multiplicity of solutions for discontinuous elliptic problems in ℝN	2
Dual exponential polynomials and a problem of Ozawa	2
On the spectrum of non-self-adjoint Dirac operators with quasi-periodic boundary conditions	2

Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line	2
On finite groups with exactly one vanishing conjugacy class size	2
Γ-convergence and stochastic homogenization of degenerate integral functionals in weighted Sobolev spaces	2
Phase portraits of the quadratic polynomial Liénard differential systems	2
Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers	2
Formation behaviour of the kinetic Cucker–Smale model with non-compact support	2
Spreading dynamics of a discrete Nicholson's blowflies equation with distributed delay	2
The second moment of symmetric square L-functions over Gaussian integers	2
A note on monotonicity and Bochner formulas in Carnot groups	2
The monostable cooperative system with nonlocal diffusion and free boundaries	2
Topological volumes of fibrations: a note on open covers	2
Estimates for sums and gaps of eigenvalues of Laplacians on measure spaces	2
Right-angled Artin groups, polyhedral products and the -generating function	2
Coisotropic Ekeland–Hofer capacities	2
On the number of conjugacy classes of a primitive permutation group	2
Weighted estimates for Bochner–Riesz operators on Lorentz spaces	2
On regularity properties of a surface growth model	2
A revisit to “On BMO and Carleson measures on Riemannian manifolds”	2
Spectral mapping theorems for essential spectra and regularized functional calculi	2
The Fourier extension operator of distributions in Sobolev spaces of the sphere and the Helmholtz equation	2
On approximating minimizers of convex functionals with a convexity constraint by singular Abreu equations without uniform convexity	2
Anisotropic Gauss curvature flows and their associated Dual Orlicz-Minkowski problems	2
A derivation of the Liouville equation for hard particle dynamics with non-conservative interactions	2
Integral representation of hydraulic permeability	2
Limit theorems for additive functionals of continuous time random walks	2
On the fractional Lazer-McKenna conjecture with critical growth	2
Local well-posedness and global analyticity for solutions of a generalized 0-equation	2
Global well-posedness and decay estimates for three-dimensional compressible Navier–Stokes–Allen–Cahn systems	2
Regularity criterion on the energy conservation for the compressible Navier–Stokes equations	2
Reducing subspaces for rank-one perturbations of normal operators	1
Some results for semi-stable radial solutions of k-Hessian equations with weight on ℝn	1
The dual tree of a fold map germ from to	1
On the optimization of the first weighted eigenvalue	1
Index estimates for closed minimal submanifolds of the sphere	1
Optimal Hardy-weights for the (p, A)-Laplacian with a potential term	1
The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates	1
Bohr theorems for slice regular functions over octonions	1
Minimal energy for geometrically nonlinear elastic inclusions in two dimensions	1
Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres	1
Realizing doubles: a conjugation zoo	1
Riemannian approximation in Carnot groups	1
The exponential ordering for nonautonomous delay systems with applications to compartmental Nicholson systems	1
On the global existence of solutions to chemotaxis system for two populations in dimension two	1
Weak weight-semi-greedy Markushevich bases	1
On generalized eigenvalue problems of fractional (p, q)-Laplace operator with two parameters	1
Equivariant stable sheaves and toric GIT	1
Qualitative properties of singular solutions to fractional elliptic equations	1
Symmetry via the moving plane method for a class of quasilinear elliptic problems involving the Hardy potential	1
Large number of bubble solutions for a fractional elliptic equation with almost critical exponents	1
Stability and exponential decay for magnetohydrodynamic equations	1
Variational characterizations of weighted Hardy spaces and weighted spaces	1
Concentration phenomena for fractional magnetic NLS equations	1
Propagation of minima for nonlocal operators	1
Behaviour of solutions to p-Laplacian with Robin boundary conditions as p goes to 1	1
Conley index for manifold-valued retarded functional differential equations without uniqueness of solutions	1
Spectral properties of a beam equation with eigenvalue parameter occurring linearly in the boundary conditions	1
2-dimensional Coxeter groups are biautomatic	1
Homogeneous and curvature homogeneous Lorentzian critical metrics	1
The fundamental gap of a kind of sub-elliptic operator	1
The family signature theorem	1
Estimate, existence and nonexistence of positive solutions of Hardy–Hénon equations	1
Steady-state solutions of one-dimensional competition models in an unstirred chemostat via the fixed point index theory	1
A characterization of alternating links in thickened surfaces	1
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes	1
The Lp Minkowski problem for q-capacity	1
Locations of interior transition layers to inhomogeneous transition problems in higher -dimensional domains	1
Envelopes of families of framed surfaces and singular solutions of first-order partial differential equations	1
A new inner approach for differential subordinations	1
Involutivity of distributions at points of superdense tangency with respect to normal currents	1
Well-posedness of the free surface problem on a Newtonian fluid between cylinders rotating at different speeds	1
The spectrum of the mean curvature operator	1
On Lebesgue points of entropy solutions to the eikonal equation	1
Sharp Caffarelli–Kohn–Nirenberg inequalities on Riemannian manifolds: the influence of curvature	1
Surfaces of prescribed linear Weingarten curvature in	1
The cyclicity of the period annulus of a reversible quadratic system	1
Travelling wave fronts of Lotka-Volterra reaction-diffusion system in the weak competition case	1
Inessential directed maps and directed homotopy equivalences	1
Generalized small cancellation conditions, non-positive curvature and diagrammatic reducibility	1
Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities	1
Synthetic versus distributional lower Ricci curvature bounds	1

Existence of solution for elliptic equations with supercritical Trudinger–Moser growth	1
On stability for generalized linear differential equations and applications to impulsive systems	1
Continuity of solutions for the Δϕ-Laplacian operator	1
Topological regularity of isoperimetric sets in PI spaces having a deformation property	1
Effect of the location of a protection zone in a reaction–diffusion model	1
A monotonicity result under symmetry and Morse index constraints in the plane	1
Asymptotic variational analysis of incompressible elastic strings	1
Hardy–Littlewood–Sobolev inequality and existence of the extremal functions with extended kernel	1
Corrigendum: Dynamics of a susceptible—infected—susceptible epidemic reaction—diffusion model	1
Parrondo's paradox for homoeomorphisms	1
Extending linear growth functionals to functions of bounded fractional variation	1
On the topological complexity and zero-divisor cup-length of real Grassmannians	1
Borderline gradient continuity for fractional heat type operators	1
Nonlinear elasticity with vanishing nonlocal self-repulsion	1
RETRACTED - Compact reduction in Lipschitz-free spaces	1
On a quasilinear elliptic problem involving the 1-Laplacian operator and a discontinuous nonlinearity	1
On the energy equality for very weak solutions to 3D MHD equations	1
Sharp Sobolev regularity of restricted X-ray transforms	1
Democracy of quasi-greedy bases in -Banach spaces with applications to the efficiency of the Thresholding Greedy Algorithm in the Hardy spaces	1
Derived homotopy algebras	1
Spiraling solutions of nonlinear Schrödinger equations	1
A Berestycki–Lions type result for a class of degenerate elliptic problems involving the Grushin operator	1
A convergence to the Navier–Stokes–Maxwell system with solenoidal Ohm's law from a two-fluid model	1
Recollements, comma categories and morphic enhancements	1
Globally subanalytic CMC surfaces in ℝ3 with singularities	1
Compact and weakly compact Lipschitz operators	1
Nonsingular bilinear maps revisited	1
Differential Harnack estimates for a weighted nonlinear parabolic equation under a super Perelman–Ricci flow and implications	1
Simple dynamics in non-monotone Kolmogorov systems	1
PRM volume 153 issue 6 Cover and Back matter	0
Multiscale linearization of nonautonomous systems	0
Adhesion and volume filling in one-dimensional population dynamics under Dirichlet boundary condition	0
Remarks on countable subadditivity	0
The cohomology rings of real toric spaces and smooth real toric varieties	0
Toeplitz determinants with a one-cut regular potential and Fisher–Hartwig singularities I. Equilibrium measure supported on the unit circle	0
PRM volume 150 issue 4 Cover and Back matter	0
PRM volume 151 issue 4 Cover and Back matter	0
On large solutions for fractional Hamilton–Jacobi equations	0
Stability of concordance embeddings	0
Invariant set generated by a nonreal number is everywhere dense	0
Exponential decay for the KdV equation on ℝ with new localized dampings	0
Fixed point sets and the fundamental group II: Euler characteristics	0
All finite transitive graphs admit a self-adjoint free semigroupoid algebra	0
Nonlocal anisotropic interactions of Coulomb type	0
PRM volume 153 issue 3 Cover and Back matter	0
On the linearized Whitham–Broer–Kaup system on bounded domains	0
Sharp gradient estimate, rigidity and almost rigidity of Green functions on non-parabolic RCD(0, N) spaces	0
Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold	0
Bounded solutions for an ordinary differential system from the Ginzburg–Landau theory	0
Lorentz and Gale–Ryser theorems on general measure spaces	0
PRM volume 151 issue 5 Cover and Back matter	0
Pointwise Assouad dimension for measures	0
Optimal global asymptotic behaviour of the solution to a class of singular Dirichlet problems	0
PRM volume 152 issue 6 Cover and Back matter	0
On k-folding map-germs and hidden symmetries of surfaces in the Euclidean 3-space	0
PRM volume 150 issue 5 Cover and Back matter	0
On the von Neumann algebras associated to Yang–Baxter operators	0
The ground states of quasilinear Hénon equation with double weighted critical exponents	0
Decay of weak solutions to Vlasov equation coupled with a shear thickening fluid	0
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations	0
Avoidance loci and tropicalizations of real bitangents to plane quartics	0
Iterates of meromorphic functions on escaping Fatou components	0
On the first eigenvalue of the Laplace operator for compact spacelike submanifolds in Lorentz–Minkowski spacetime ?m	0
PRM volume 153 issue 6 Cover and Front matter	0
Lipschitz-free spaces and subsets of finite-dimensional spaces	0
Intersection configurations in free and free times free-abelian groups	0
On two congruence conjectures of Z.-W. Sun involving Franel numbers	0
Robustness of nonuniform mean-square exponential dichotomies	0
The effects of diffusion on the principal eigenvalue for age-structured models with random diffusion	0
Bifurcation structure of coexistence states for a prey–predator model with large population flux by attractive transition	0
Cardinal invariants of Haar null and Haar meager sets	0
PRM volume 151 issue 2 Cover and Back matter	0
Discs area-minimizing in mean convex Riemanniann-manifolds	0
The Fokker–Planck equation for the time-changed fractional Ornstein–Uhlenbeck stochastic process	0
The mod-p homology of the classifying spaces of certain gauge groups	0
PRM volume 151 issue 3 Cover and Back matter	0
PRM volume 152 issue 3 Cover and Front matter	0
On a class of difference operator and its applications to a family of analytic functions	0
PRM volume 150 issue 2 Cover and Back matter	0
Nonasymptotic bounds for the quadratic risk of the Grenander estimator	0
Corrigendum to “Topological complexity of real Grassmannians”	0
Brownian motion on the golden ratio Sierpinski gasket	0
On a critical time-harmonic Maxwell equation in nonlocal media	0
A short proof that ℬ(L1) is not amenable	0
Various topological complexities of small covers and real Bott manifolds	0
PRM volume 150 issue 5 Cover and Front matter	0
On a class of special Euler–Lagrange equations	0
PRM volume 152 issue 6 Cover and Front matter	0
On the dimension of planar self-affine sets with non-invertible maps	0
PRM volume 150 issue 2 Cover and Front matter	0
Existence of weak solutions to an anisotropic parabolic–parabolic chemotaxis system	0
Singularities of 3-parameter line congruences in	0
On regular algebraic hypersurfaces with non-zero constant mean curvature in Euclidean spaces	0
The homotopy classification of four-dimensional toric orbifolds	0
PRM volume 152 issue 2 Cover and Front matter	0