Applicable Analysis

Article	Citations
Uniform convergence of the LDG method for singularly perturbed problems	48
Periodic solutions of a fractional Schrödinger equation	39
Reciprocity gap functional for potentials/sources with small-volume support for two elliptic equations	31
Existence of a weak solution to a generalized Riemann-type hydrodynamical equation	24
Analysis of a delayed spatiotemporal model of HBV infection with logistic growth	24
Hamiltonian systems with several space variables: dressing, explicit solutions and energy relations	23
On the solvability of anisotropic non-coercive problems with Neumann boundary conditions	22
Solvability of two immiscible fluid flows over an obstacle	18
Uniform bounds and asymptotic behavior for nonlinear parabolic equations with absorption terms	17
Synchronization phenomena in thermoelastic waves connected in parallel	16
Global well-posedness of strong solutions for the non-isentropic compressible Navier-Stokes equations in the presence of vacuum and without initial compatibility conditions	16
Global stability and non-vanishing vacuum states of 3D compressible magnetohydrodynamic equations	15
Blow-up versus scattering below the mass-energy threshold for NLH with a potential	14
Intrinsic phenomena of delta shock waves in a more realistic Chaplygin Aw–Rascle model	13
Global well-posedness and large time behavior for the 3D magneto-micropolar equations	11
Uniform attractors for 3D MHD equations with nonlinear damping	10
Simultaneous identification of the random source term and the initial value for the stochastic Caputo-Hadamard time-fractional diffusion equation	10
Inertial subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces	10
Exploring the nonlocal thermistor problem in the Musielak-Orlicz spaces	10
Shock wave interactions for a rate-type material model	10
Orbital stability of solitary wave for the Zakharov equation with cubic-quintic nonlinearity	9
Ground state solutions for weighted biharmonic Kirchhoff problem via the Nehari manifold approach	9
Long wavelength limit of the KP-type equation for the ion dynamics system	9
Inversion of the exponential X-ray transform of symmetric 2-tensors	8
Fourth-order nonlinear Schrödinger equations in an exterior domain	8

Infinitely many high energy solutions for nonlocal fourth-order equation with sigh-changing potential	8
On new refinement of the Jensen inequality using uniformly convex functions with applications	7
General decay of the Cauchy problem for α -evolution models with β -memory term	7
Boundedness in a parabolic-elliptic chemotaxis system with logistic source involving the exponents depending on the spatial variables and nonlinear signal productions	7
On the blow-up of the inhomogeneous nonlinear Schrödinger equation with power-type perturbation	6
Propagation phenomena for a diffusive epidemic model with vaccination and nonlinear incidence	6
The shearlet transform and asymptotic behavior of Lizorkin distributions	6
Smooth traveling waves for doubly nonlinear degenerate diffusion equations with time delay	6
Stability of a class of parabolic equations in non-cylindrical domains	6
Method of asymptotic partial decomposition with discontinuous junctions for the wave equation	6
Uniqueness and generic regularity of global weak conservative solutions to the Constantin-Lannes equation	6
Dipolar Komatu–Loewner differential equation	6
Non-existence of stationary solutions for a cross-diffusion food web model with cycle	6
Hilbert expansion of Boltzmann equations for gas mixture	6
Turing instabilities in a glycolysis reaction-diffusion system	5
The backward problem of a stochastic PDE with bi-harmonic operator driven by fractional Brownian motion	5
Well-posedness for Euler-Fourier system with damping in the critical space	5
Stabilization of a thermoelastic diffusion system of type II damped and delayed	5
Multiplicity of solutions for Kirchhoff type equations with critical growth in ℝ N	5
Necessary optimality conditions for nonsmooth multiobjective bilevel programs using the Drummond-Svaiter functional	5
Propagation of transient acoustic waves in a cancellous bone revisited	5
Stability of some recent exact solutions to the three-dimensional geophysical Euler equations	5
Global well-posedness of fractional 3D magneto-micropolar fluid equations in variable-exponent Fourier–Besov–Morrey spaces	5
Discretization strategies for optimal control of the Cahn-Hilliard equation	4
The first 50 years for applicable analysis	4
The multidimensional coagulation and collisional breakage equation with unbounded kernel	4
Existence and stability of weakly Pareto-Nash equilibria for discontinuous multiobjective games	4
Uniform convergence of the one-dimensional cubic Schrödinger equation	4
On the fractional P – Q laplace operator with weights	4
A stochastic primal-dual splitting algorithm with variance reduction for composite optimization problems	4
Asymptotic analysis for non-local problems in composites with different imperfect contact conditions	4
Normalized solutions to the Sobolev critical Kirchhoff-type equation with non-trapping potential	4
On the Cauchy problem of the MGT-viscoelastic plate with heat conduction of Fourier law	4
On limit connection between two problems of complex heat exchange	4
Higher-order approximate solutions of singularly perturbed problems with multiple turn points	4
The perturbed Riemann problem for the Chaplygin pressure Aw–Rascle model with Coulomb-like friction	4
Finite-time blow-up on a volume-filling attraction–repulsion system	4
Global dynamics of a differential-difference diffusive SIR model with Dirichlet boundary conditions	4
An inverse source problem for linearly anisotropic radiative sources in absorbing and scattering medium	4
Heisenberg–Pauli–Weyl uncertainty principle for ambiguity function	4
Semilinear elliptic problems via the nonlinear Rayleigh quotient with two nonlocal nonlinearities	3
A Nekhoroshev-type theorem for the nonlinear Schrödinger equations on the d -dimensional torus	3
On a compressible diffuse interface model for immiscible mixtures of liquid crystal and viscous fluid	3
On an incompressible inertial nematic electrolyte model of liquid crystal flow	3
Global boundedness to a chemotaxis system with modified nonlocal and nonlinear reaction	3
Quadratic coupled Schrödinger systems with sign-changing potential	3
Nonexistence of global solutions for a Euler–Poisson–Darboux–Tricomi equation with combined nonlinearity	3
On the space-time analyticity of the inhomogeneous heat equation on the half space with Neumann boundary conditions	3
Null controllability of some stochastic complex parabolic equations with singular potentials	3
Optimal control for a fully parabolic singular chemotaxis model with indirect signal consumption in two space dimensions	3

On initial-boundary value problem for the Burgers equation in nonlinearly degenerating domain	3
Well-posedness of multidimensional semi-infinite variational inequalities with applications	3
On the univalence of certain polyharmonic mappings under differential operator	3
Discrete-time state observations control to synchronization of hybrid-impulses complex-valued multi-links coupled systems	3
Global regularity of the steady magnetic damping boundary layer equation	3
The existence of continuous weak solutions with compact support for degenerate parabolic systems with exchange-type source	3
New results concerning a singular biharmonic equations with p -Laplacian and Hardy potential	3
Attractors for partially damped systems of binary mixtures of solids	3
H 2 -solutions for an Ostrosky–Hunter type equation	3
Inversion formula for the windowed linear canonical transform	3
A homogenization approach to the effect of surfactant concentration and interfacial slip on the flow past viscous drops	3
Well-posedness and exponential stability of coupled non-degenerate Kirchhoff and heat equations	3
A study on a class of weighted elliptic problems with indefinite nonlinearities	3
On the existence and uniqueness of solutions of thermo-poroelastic media saturated by two-phase fluids	3
Finitely degenerate pseudo-parabolic equations with logarithmic nonlinearity	3
Bernstein polynomial for solving third kind VIEs with nonlinear vanishing delays	3
Generalized approach for stability numbers of shear-damped Bresse systems with Cattaneo couplings	3
Mathematical model of cancer with radiotherapy and chemotherapy treatments	3
Energy decay of nonlocal viscoelastic equations with nonlinear damping and polynomial nonlinearity	3
Existence results for a nonlinear neutron transport equation with elastic and inelastic collision operators in L p	3
Asymptotic stability for stochastic elastic systems with damping	3
Blow-up time analysis of parabolic equations with variable nonlinearities	3
Attractors of Ginzburg–Landau equations with oscillating terms in porous media: homogenization procedure	3
An inverse problem for the system modeling nonhomogeneous asymmetric fluids	3
Well-posedness and dynamical properties for a class of plate equation	2
Riemann-Hilbert Problems for biaxial symmetric solutions to iterated Dirac equations with α -weight	2
Nonexistence of global weak solutions for strongly damped p –Laplacian wave equations with logarithmic source terms	2
Blow-up of positive solutions for the semilinear heat equation with a potential	2
The decay rate of solutions to some second-order evolution equations with the nonlinear supercritical damping term	2
Multiplicity of solutions for a non-local problem with indefinite weights	2
Optimization of discrete and differential inclusions with multiple delays	2
On the relevance of the Rosenau-type equations for nonlinear wave propagation in one-dimensional lattices	2
Asymptotically almost periodic solutions of discrete dynamical systems and applications	2
Existence results of singular Toda system with several critical parameters	2
Quantitative unique continuation property for Baouendi–Grushin type subelliptic operators	2
Uniqueness and stabilized algorithm for an inverse problem of identifying space-time dependent diffusion coefficients	2
On the L 2 -boundedness of semiclassical Fourier integral operators with rough amplitude and phase functions	2
Multiple tsunami waves of the fractional geophysical KdV equation	2
Multiplicity and concentration of non trivial solutions for a class of magnetic Schrödinger equations	2
Implicit fractional sweeping process with application to unilateral contact problem	2
Delta shock wave for ternary nonlinear chromatography equations as self-similar viscosity limit	2
Lagrange-type optimization with inequality constraints	2
Dynamics of periodic fractional discrete NLS in the continuum limit	2
Viscoelasticity versus nonlinear feedback in plate systems: optimal decay	2
Boundary determination of coefficients appearing in a perturbed weighted p -Laplace equation	2
Reducible–KAM torus for two dimensional completely resonant reversible quintic Schrödinger systems	2
Radially symmetric solutions of the nonlinear Neumann problem for the prescribed mean curvature equation in standard static spacetime	2
High-frequency homogenization of multidimensional hyperbolic equations	2
New concentrated solutions for the nonlinear Schrödinger–Newton system	2
Constant sign and nodal solutions for singular Gierer–Meinhardt-type system	2
Global unique solutions for 3D inhomogeneous incompressible MHD equations with discontinuous density	2
Source-term determination for an elliptic equation in a cylinder from boundary observations	2
Properties of minimizers for mass critical Kirchhoff energy functionals in bounded domains	2
Necessary conditions of the occurrence of chaotic vibrations in the wave equations	2
Optimal control of Gao beam contact with double Signorini conditions	2
Analysis and computation of a nonlinear variable-exponent Caputo-Hadamard stochastic differential equation	2
New stability result for bresse system with dual-phase-lag thermoelasticity	2
Strong waves for epidemic model with time-space delay and multiple infectious stages	2
Local error estimates and post processing for the Galerkin BEM on polygons	2
Global well-posedness for a chemotaxis-fluid system with two chemicals in Besov-Morrey spaces	2
Global and blow-up solutions for a heat equation with variable reaction	2
Spreading speed of a lattice time-periodic Lotka–Volterra competition system with bistable nonlinearity	2
The asymptotic behavior of Riemann solutions for the Aw-Rascle-Zhang traffic flow model with the polytropic and logarithmic combined pressure term	2
Singular p(x) -Laplacian equation with application to boundary layer theory	2
On the stability of determining a nonlinear coefficient for the third-order nonlinear acoustic equation	2
On an inhomogeneous slip-inflow boundary value problem for a steady viscous compressible channel flow	2
Pressure behavior and wave height estimates for steady periodic equatorial water waves	2
Weak solutions for double phase Schrödinger–Kirchhoff problems with Neumann conditions	2
Global well-posedness of fourth-order Petrovsky equation with weak and strong damping terms	2
Synchronization of Kuramoto oscillators with the distributed time-delays and inertia effect	2
On the absence of global weak solutions for a nonlinear time-fractional Schrödinger equation	2
Qualitative behavior of solutions for a chemotaxis-haptotaxis system with gradient-dependent flux-limitation	2
Monotone iterative technique for delay elastic systems in ordered Banach space	2
Fibre homogenisation for time-dependent problems	2
Quasi-periodic solutions for a class of wave equation system	2
Uniform stability of a semilinear coupled Timoshenko beam and an elastodynamic system in an inhomogeneous medium	2
Asymptotic profile and optimal decay of solutions for the wave equation with rotational inertia and logarithmic-Laplacian term	2
The local well-posedness for the dispersion generalized Camassa–Holm equation	2
Finite time stability and relative controllability of fractional oscillation systems with pure delay	2
Blow-up of a quasi-linear pseudo-parabolic equation with critical initial energy	2

Weak solutions to the full MHD system with non-homogeneous boundary conditions	2
Refined criteria toward boundedness in an attraction–repulsion chemotaxis system with nonlinear productions	2
Anisotropic elliptic system with variable exponents and degenerate coercivity withLmdata	2
Existence and optimality in discrete and differential inclusions for the Bolza problem	2
Constant vorticity two-layer flows over variable bottom at arbitrary latitude	2
Singular wave solutions associated with a singular parabola	2
Estimates of the solution of the Stokes problem in an L -shaped structure	2
Well-posedness and finite element approximation for the Landau–Lifshitz–Gilbert equation with spin torques	1
Coexistence states for a prey-predator model with self-diffusion and predator-taxis	1
Global well-posedness and scattering for the coupled NLS in critical spaces	1
Pattern formation from homogeneous states for an elliptic system with mixed interactions	1
Well-posedness and exponential stability for Von Kármán delayed system with infinite memory	1
Stability and boundedness of nonautonomous impulsive delayed systems with conformable derivatives	1
Approximation of eigenvalues and eigenfunctions of the diffusion operator in a domain containing thin tubes by asymptotic domain decomposition method	1
Analysis and simulation of diffusion equation on star graph with/without temporal loads	1
Solution to an open question about optimal economic growth models	1
A global in time existence and uniqueness result of a multidimensional inverse problem	1
Boundary output tracking for a flexible beam with tip payload and boundary nonlinear disturbance	1
Modified Schrödinger Kirchhoff Hardy operator involving critical Choquard type nonlinearity with parameter	1
Optimization of semilinear higher-order delay differential inclusions	1
Criteria for finite time blow up for a system of Klein–Gordon equations	1
Optimal control of a two-dimensional contact problem with multiple unilateral constraints	1
Non-coercive differential inclusions problems in anisotropic Sobolev spaces with variable exponents	1
BSDEs driven by fractional Brownian motion with time-delayed generators	1
On some recently derived exact solutions to the Euler equations	1
Existence, uniqueness and asymptotic behavior of solutions for a nonsmooth producer-grazer system with stoichiometric constraints	1
Strong and weak solutions to a structural acoustic model with a C 1 source term on the plate	1
Regularity of the free boundary for the vectorial divergence form minimization problem	1
Semi-analytic PINN methods for singularly perturbed boundary value problems	1
Optimality conditions and sensitivity analysis in parametric convex minimax programming	1
Limits of Riemann solutions to the compressible fluid flow with logarithmic pressure	1
Sensitivity analysis of the current and the electrostatic capacity with respect to small perturbations in the surface of a conductor	1
The stability of a class of 2D non-newtonian fluid equations with unbounded delays	1
Extragradient methods with dual inertial steps for solving equilibrium problems	1
Existence and non-existence of minimizers for Hardy-Sobolev type inequality with Hardy potentials	1
Convergent estimate results of the Landweber–Kaczmarz iterative algorithm	1
Solvability of certain one-dimensional semilinear hyperbolic systems and hyperbolic Liouville equation	1
Smooth traveling waves for flux-limited diffusion equations with time delay	1
Stability of a kind of periodic welding problems under perturbations	1
Asymptotic profiles of solutions to the two-dimensional incompressible magneto-micropolar equations	1
A stability result for viscoelastic piezoelectric system with nonlinear feedback	1
Lack of differentiability of semigroups associated to delayed abstract thermoelastic systems	1
Unique local weak solutions of the non-resistive MHD equations in homogeneous Besov space	1
Boundedness in a two-dimensional chemotaxis system with signal-dependent motility and indirect signal consumption	1
Well-posedness and large-time behavior for the compressible non-isothermal nematic liquid crystal flows	1
Mathematical problems of dynamical interaction of fluids and multiferroic solids	1
Well-posedness, monotonicity, asymptotic translation of the Cauchy problem of delayed reaction–diffusion systems	1
Stabilization of laminated beam with structural damping and a heat conduction of Gurtin–Pipkin's law	1
General decay properties of Moore–Gibson–Thompson equation with memory of type II	1
Inverse scattering for N -body time-decaying harmonic oscillators	1
Asymptotic behaviors for the eigenvalues of the Schrödinger equation	1
Solutions to a coupled Cahn–Hilliard-phase-field-crystal model for grain boundary motion	1
The spectrum of the main operator of Rotenberg equation with time-delay	1
Multiplicative solutions for nonlinear delta fractional difference problems with parameter-dependent summation constraints	1
Adaptive ensemble Kalman inversion for inverse scattering problem with phaseless far-field data	1
Exact solutions for geophysical flows with discontinuous variable density and forcing terms in spherical coordinates	1
A novel method for solving split variational inequality and fixed point problems	1
Sufficient condition based on nearly optimal order RIC for IHT algorithm	1
On the first Steklov–Dirichlet eigenvalue on eccentric annuli in general dimensions	1
Finite-time stabilization via impulse control of degenerate singular parabolic equations	1
Infinitely many sign-changing solutions for planar Schrödinger–Poisson system	1
Modeling and mathematical analysis of root water uptake in the rhizosphere	1
On the open sea propagation of two-dimensional rotational water waves generated by a moving bed	1
Convergence results for proximal point algorithm with inertial and correction terms	1
On source identification problem for a parabolic equation with memory term	1
Convergence results of nonlinear problems based on Tikhonov regularization method	1
Homogenization of a nonlinear reaction-diffusion problem in a porous medium with double periodicity	1
Energy decay for coupled wave-plate system with one Kelvin-Voigt or structural damping	1
A general egg-limited and search-limited host–parasitoid model with proportional host refuge	1
Spectral stability of periodic traveling wave solutions for a double dispersion equation	1
Boundedness of conformable fractional-order non-autonomous systems with discrete and distributed delays	1
A corrector result for an electrostatic model of interdigitated combs	1
Almost periodic solutions of Boussinesq systems in the whole space	1
Global solutions to the bipolar non-isentropic Euler-Maxwell system in the Besov framework	1
Analysis of a reaction–diffusion dengue model with vector bias on a growing domain	1
Qualitative results on nonlinear neutral-type fractional delayed-differential system: existence, uniqueness and controllability	1
Decay property of regularity-loss type for the Euler–Cattaneo–Maxwell system	1
Infinitely many solutions for nonlinear fourth-order Schrödinger equations with mixed dispersion	1
Phase portraits of an SIR epidemic model	1
Well-posedness and exponential stability for the logarithmic Lamé system with a time delay	1
On the conditions for the existence of a piecewise smooth solution of the Riemann problem for one class of conservation laws	1
Global analysis of the Gray–Scott model with fractional–classical diffusion	1
Global dynamics of two-species reaction–diffusion competition model with Gompertz growth	1
Multiplicity results for p(x) -biharmonic equations with nonlinear boundary conditions	1
Variable exponents anisotropic nonlinear elliptic systems with Lp′→(⋅)-data	1
Attractors and observability for nonlinear Timoshenko system with arbitrary memory	1
Global well-posedness and large-time behavior of solutions to the 3D inviscid magneto-micropolar equations with damping	1
Gradient estimates of the solution to the Cauchy problem for degenerate parabolic equations with nonpower nonlinearities	1
Steepest descent method for uncertain multiobjective optimization problems under finite uncertainty set	1
On second-order optimality conditions for C 1,1 optimization problems via Lagrangian functions	1
Forced waves of the Fisher-KPP equation with nonlocal anisotropic dispersal in a shifting environment	1
Some qualitative properties for the Kirchhoff total variation flow	1
Uniqueness and attractiveness of periodic solutions in delayed PDEs: a semi-Fredholm approach	1
An efficient computational approach for solving two-dimensional extended Fisher–Kolmogorov equation	1
Steady wave propagation in rotational flows with discontinuous vorticity and surface tension	1