Proceedings of the Royal Society of Edinburgh Section A-Mathematics

Article	Citations
Semilinear elliptic equations involving mixed local and nonlocal operators	46
Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains	37
An n-dimensional chemotaxis system with signal-dependent motility and generalized logistic source: global existence and asymptotic stabilization	29
Concentration of positive solutions for a class of fractionalp-Kirchhoff type equations	27
On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative	22
Shadowing for infinite dimensional dynamics and exponential trichotomies	17
Local minimizers in absence of ground states for the critical NLS energy on metric graphs	16
Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case	13
Spreading speeds and traveling wave solutions of diffusive vector-borne disease models without monotonicity	11
Stochastic differential equations driven by fractional Brownian motion with locally Lipschitz drift and their implicit Euler approximation	11
Invariant Gibbs dynamics for the dynamical sine-Gordon model	10
Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy	10
A new classification on parallel Ricci tensor for real hypersurfaces in the complex quadric	9
Heavy-tailed branching random walks on multidimensional lattices. A moment approach	9
Lp-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions	8
Immediate smoothing and global solutions for initial data inL1×W1,2in a Keller–Segel system with logistic terms in 2D	8
On the policy improvement algorithm for ergodic risk-sensitive control	7
Semi-classical solutions for Kirchhoff type problem with a critical frequency	6
Two-phase Stokes flow by capillarity in full 2D space: an approach via hydrodynamic potentials	6
Measure data elliptic problems with generalized Orlicz growth	6
Brittle fracture in linearly elastic plates	6
Asymptotic stability of rarefaction wave for the compressible Navier‐Stokes‐Korteweg equations in the half space	6
Isolas of multi-pulse solutions to lattice dynamical systems	6
On the commuting probability for subgroups of a finite group	5
Hardy type inequalities on closed manifolds via Ricci curvature	5

Global well-posedness and decay estimates for three-dimensional compressible Navier–Stokes–Allen–Cahn systems	5
Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth	5
Minimal surfaces with elastic and partially elastic boundary	5
Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system	5
Inverse nodal problems on quantum tree graphs	5
Stability of periodic waves for the fractional KdV and NLS equations	5
One-relator groups and algebras related to polyhedral products	5
Some further results on the nonlocal p-Laplacian type problems	5
Harnack inequality for the nonlocal equations with general growth	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
Global regularity criterion for the dissipative systems modelling electrohydrodynamics involving the middle eigenvalue of the strain tensor	4
Existence and nonexistence results for a class of Hamiltonian Choquard-type elliptic systems with lower critical growth on ℝ2	4
The convergence rate of the fast signal diffusion limit for a Keller–Segel–Stokes system with large initial data	4
The affirmative answer to Singer's conjecture on the algebraic transfer of rank four	4
Finite-time blow-up in a repulsive chemotaxis-consumption system	4
Large deviations for a class of tempered subordinators and their inverse processes	4
Existence and multiplicity of periodic solutions to differential equations with attractive singularities	4
Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations	4
On cohomogeneity one Hermitian non-Kähler metrics	4
Combined effects in mixed local–nonlocal stationary problems	4
Dyadic John–Nirenberg space	4
New variable martingale Hardy spaces	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
Non-monotone waves of a stage-structured SLIRM epidemic model with latent period	4
On a backward problem for nonlinear time fractional wave equations	4
A revisit to “On BMO and Carleson measures on Riemannian manifolds”	3
Sharp Caffarelli–Kohn–Nirenberg inequalities on Riemannian manifolds: the influence of curvature	3
Bismut Ricci flat manifolds with symmetries	3
Formation behaviour of the kinetic Cucker–Smale model with non-compact support	3
Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy	3
Global classical solution to the chemotaxis-Navier-Stokes system with some realistic boundary conditions	3
Compact groups in which all elements have countable right Engel sinks	3
Homotopy of gauge groups over high-dimensional manifolds	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
On some nonlinear Schrödinger equations in ℝN	3
A dynamic thermo-mechanical actuator system with contact and Barber's heat exchange boundary conditions	3
Lifting of recollements and gluing of partial silting sets	3
On the fractional Lazer-McKenna conjecture with critical growth	3
Quasilinear elliptic inequalities with Hardy potential and nonlocal terms	3
On the spectrum of non-self-adjoint Dirac operators with quasi-periodic boundary conditions	2
On the number of conjugacy classes of a primitive permutation group	2
On regularity properties of a surface growth model	2
Asymptotic formulas of the eigenvalues for the linearization of the scalar field equation	2
Concentration behaviour of normalized ground states of the mass critical fractional Schrödinger equations with ring-shaped potentials	2
The second moment of symmetric square L-functions over Gaussian integers	2
Discrete heat equation with irregular thermal conductivity and tempered distributional data	2

A Berestycki–Lions type result for a class of degenerate elliptic problems involving the Grushin operator	2
A note on monotonicity and Bochner formulas in Carnot groups	2
Integral representation of hydraulic permeability	2
Right-angled Artin groups, polyhedral products and the -generating function	2
Coisotropic Ekeland–Hofer capacities	2
Weighted estimates for Bochner–Riesz operators on Lorentz spaces	2
Regularity criterion on the energy conservation for the compressible Navier–Stokes equations	2
Relaxation for an optimal design problem inBD(Ω)	2
The Fourier extension operator of distributions in Sobolev spaces of the sphere and the Helmholtz equation	2
Spreading dynamics of a discrete Nicholson's blowflies equation with distributed delay	2
Large number of bubble solutions for a fractional elliptic equation with almost critical exponents	2
Estimates for sums and gaps of eigenvalues of Laplacians on measure spaces	2
Dual exponential polynomials and a problem of Ozawa	2
On finite groups with exactly one vanishing conjugacy class size	2
Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line	2
Γ-convergence and stochastic homogenization of degenerate integral functionals in weighted Sobolev spaces	2
Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers	2
Spectral mapping theorems for essential spectra and regularized functional calculi	2
Anisotropic Gauss curvature flows and their associated Dual Orlicz-Minkowski problems	2
The monostable cooperative system with nonlocal diffusion and free boundaries	2
Limit theorems for additive functionals of continuous time random walks	2
Topological volumes of fibrations: a note on open covers	2
A derivation of the Liouville equation for hard particle dynamics with non-conservative interactions	2
Reducing subspaces for rank-one perturbations of normal operators	1
Spectral properties of a beam equation with eigenvalue parameter occurring linearly in the boundary conditions	1
Stability and exponential decay for magnetohydrodynamic equations	1
On isometric embeddability of into as non-commutative quasi-Banach spaces	1
Effect of the location of a protection zone in a reaction–diffusion model	1
On the Γ-convergence of the Allen–Cahn functional with boundary conditions	1
Optimal Hardy-weights for the (p, A)-Laplacian with a potential term	1
Estimate, existence and nonexistence of positive solutions of Hardy–Hénon equations	1
Conley index for manifold-valued retarded functional differential equations without uniqueness of solutions	1
The family signature theorem	1
The fundamental gap of a kind of sub-elliptic operator	1
Synthetic versus distributional lower Ricci curvature bounds	1
The Lp Minkowski problem for q-capacity	1
Index estimates for closed minimal submanifolds of the sphere	1
Some results for semi-stable radial solutions of k-Hessian equations with weight on ℝn	1
On the topological complexity and zero-divisor cup-length of real Grassmannians	1
RETRACTED - Compact reduction in Lipschitz-free spaces	1
Singularities of 3-parameter line congruences in	1
On the energy equality for very weak solutions to 3D MHD equations	1
Nonlinear elasticity with vanishing nonlocal self-repulsion	1
On stability for generalized linear differential equations and applications to impulsive systems	1
Involutivity of distributions at points of superdense tangency with respect to normal currents	1
A new inner approach for differential subordinations	1
Spiraling solutions of nonlinear Schrödinger equations	1
Democracy of quasi-greedy bases in -Banach spaces with applications to the efficiency of the Thresholding Greedy Algorithm in the Hardy spaces	1
Well-posedness of the free surface problem on a Newtonian fluid between cylinders rotating at different speeds	1
Recollements, comma categories and morphic enhancements	1
Inessential directed maps and directed homotopy equivalences	1
Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities	1
Existence of solution for elliptic equations with supercritical Trudinger–Moser growth	1
The cyclicity of the period annulus of a reversible quadratic system	1
2-dimensional Coxeter groups are biautomatic	1
Wold decomposition on odometer semigroups	1
Generalized small cancellation conditions, non-positive curvature and diagrammatic reducibility	1
Zero-electron-mass limit of the compressible Navier–Stokes–Poisson equations with well/ill-prepared initial data	1
On the optimization of the first weighted eigenvalue	1
Topological regularity of isoperimetric sets in PI spaces having a deformation property	1
A characterization of alternating links in thickened surfaces	1
Corrigendum: Dynamics of a susceptible—infected—susceptible epidemic reaction—diffusion model	1
Infinite constant gap length trees in products of thick Cantor sets	1
A Jordan–Hölder theorem for skew left braces and their applications to multipermutation solutions of the Yang–Baxter equation	1
Parrondo's paradox for homoeomorphisms	1
Concentration phenomena for fractional magnetic NLS equations	1
Borderline gradient continuity for fractional heat type operators	1
Bohr theorems for slice regular functions over octonions	1
Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres	1
Error bounds for the asymptotic expansions of the Hermite polynomials	1
Lorentz and Gale–Ryser theorems on general measure spaces	1
Pressure live loads and the variational derivation of linear elasticity	1
Local well-posedness and global analyticity for solutions of a generalized 0-equation	1
Sharp Sobolev regularity of restricted X-ray transforms	1
The exponential ordering for nonautonomous delay systems with applications to compartmental Nicholson systems	1
On a quasilinear elliptic problem involving the 1-Laplacian operator and a discontinuous nonlinearity	1
Symmetry via the moving plane method for a class of quasilinear elliptic problems involving the Hardy potential	1
Equivariant stable sheaves and toric GIT	1
Variational characterizations of weighted Hardy spaces and weighted spaces	1
Fourier multipliers for Hardy spaces on graded Lie groups	1

Derived homotopy algebras	1
Behaviour of solutions to p-Laplacian with Robin boundary conditions as p goes to 1	1
Simple dynamics in non-monotone Kolmogorov systems	1
A convergence to the Navier–Stokes–Maxwell system with solenoidal Ohm's law from a two-fluid model	1
Global existence and large time behaviour for the pressureless Euler–Naver–Stokes system in ℝ3	1
The ground states of quasilinear Hénon equation with double weighted critical exponents	1
Compact and weakly compact Lipschitz operators	1
Differential Harnack estimates for a weighted nonlinear parabolic equation under a super Perelman–Ricci flow and implications	1
Hardy–Littlewood–Sobolev inequality and existence of the extremal functions with extended kernel	1
The dual tree of a fold map germ from to	1
Extending linear growth functionals to functions of bounded fractional variation	1
The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates	1
A monotonicity result under symmetry and Morse index constraints in the plane	1
Minimal energy for geometrically nonlinear elastic inclusions in two dimensions	1
Asymptotic variational analysis of incompressible elastic strings	1
Homogeneous and curvature homogeneous Lorentzian critical metrics	1
Envelopes of families of framed surfaces and singular solutions of first-order partial differential equations	1
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes	1
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations	1
The non-autonomous Navier–Stokes–Brinkman–Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors	1
Lipschitz-free spaces and subsets of finite-dimensional spaces	1
Weak weight-semi-greedy Markushevich bases	1
Riemannian approximation in Carnot groups	1
On generalized eigenvalue problems of fractional (p, q)-Laplace operator with two parameters	1
On Lebesgue points of entropy solutions to the eikonal equation	1
On the global existence of solutions to chemotaxis system for two populations in dimension two	1
Travelling wave fronts of Lotka-Volterra reaction-diffusion system in the weak competition case	1
Surfaces of prescribed linear Weingarten curvature in	1
Stabilization of the Kawahara–Kadomtsev–Petviashvili equation with time-delayed feedback	1
Propagation of minima for nonlocal operators	1
Qualitative properties of singular solutions to fractional elliptic equations	1