Applicable Analysis

Article	Citations
Uniform convergence of the LDG method for singularly perturbed problems	46
Periodic solutions of a fractional Schrödinger equation	39
Reciprocity gap functional for potentials/sources with small-volume support for two elliptic equations	30
Existence of a weak solution to a generalized Riemann-type hydrodynamical equation	24
Shock wave interactions for a rate-type material model	23
Global well-posedness and large time behavior for the 3D magneto-micropolar equations	21
Analysis of a delayed spatiotemporal model of HBV infection with logistic growth	21
Uniform bounds and asymptotic behavior for nonlinear parabolic equations with absorption terms	17
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
Uniform attractors for 3D MHD equations with nonlinear damping	16
Inertial subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces	15
Hamiltonian systems with several space variables: dressing, explicit solutions and energy relations	14
Synchronization phenomena in thermoelastic waves connected in parallel	14
Global stability and non-vanishing vacuum states of 3D compressible magnetohydrodynamic equations	13
Blow-up versus scattering below the mass-energy threshold for NLH with a potential	13
Intrinsic phenomena of delta shock waves in a more realistic Chaplygin Aw–Rascle model	13
Solvability of two immiscible fluid flows over an obstacle	11
On the solvability of anisotropic non-coercive problems with Neumann boundary conditions	10
Long wavelength limit of the KP-type equation for the ion dynamics system	10
Orbital stability of solitary wave for the Zakharov equation with cubic-quintic nonlinearity	9
General decay of the Cauchy problem for α -evolution models with β -memory term	9
Ground state solutions for weighted biharmonic Kirchhoff problem via the Nehari manifold approach	9
Infinitely many high energy solutions for nonlocal fourth-order equation with sigh-changing potential	8
Fourth-order nonlinear Schrödinger equations in an exterior domain	8
On new refinement of the Jensen inequality using uniformly convex functions with applications	7

Smooth traveling waves for doubly nonlinear degenerate diffusion equations with time delay	7
Inversion of the exponential X-ray transform of symmetric 2-tensors	7
Dipolar Komatu–Loewner differential equation	7
The shearlet transform and asymptotic behavior of Lizorkin distributions	6
On the blow-up of the inhomogeneous nonlinear Schrödinger equation with power-type perturbation	6
Stability of a class of parabolic equations in non-cylindrical domains	6
Non-existence of stationary solutions for a cross-diffusion food web model with cycle	6
Degenerate parabolic equations with partial boundary value conditions	6
Boundedness in a parabolic-elliptic chemotaxis system with logistic source involving the exponents depending on the spatial variables and nonlinear signal productions	6
Uniqueness and generic regularity of global weak conservative solutions to the Constantin-Lannes equation	6
Hilbert expansion of Boltzmann equations for gas mixture	5
Propagation of transient acoustic waves in a cancellous bone revisited	5
The backward problem of a stochastic PDE with bi-harmonic operator driven by fractional Brownian motion	5
Global well-posedness of fractional 3D magneto-micropolar fluid equations in variable-exponent Fourier–Besov–Morrey spaces	5
Uniform convergence of the one-dimensional cubic Schrödinger equation	5
Stabilization of a thermoelastic diffusion system of type II damped and delayed	5
Existence and stability of weakly Pareto-Nash equilibria for discontinuous multiobjective games	5
On the Cauchy problem of the MGT-viscoelastic plate with heat conduction of Fourier law	5
An inverse source problem for linearly anisotropic radiative sources in absorbing and scattering medium	5
Well-posedness for Euler-Fourier system with damping in the critical space	5
Blowup property of solutions in the parabolic equation with p-Laplacian operator and multi-nonlinearities	5
Multiplicity of solutions for Kirchhoff type equations with critical growth in ℝ N	5
Turing instabilities in a glycolysis reaction-diffusion system	5
Stability of some recent exact solutions to the three-dimensional geophysical Euler equations	5
Global dynamics of a differential-difference diffusive SIR model with Dirichlet boundary conditions	5
Necessary optimality conditions for nonsmooth multiobjective bilevel programs using the Drummond-Svaiter functional	5
A study on a class of weighted elliptic problems with indefinite nonlinearities	4
On the fractional P – Q laplace operator with weights	4
Derivation of Stokes-plate-equations modeling fluid flow interaction with thin porous elastic layers	4
On concentration of solutions for quasilinear Schrödinger equations with critical growth in the plane	4
The multidimensional coagulation and collisional breakage equation with unbounded kernel	4
Normalized solutions to the Sobolev critical Kirchhoff-type equation with non-trapping potential	4
A stochastic primal-dual splitting algorithm with variance reduction for composite optimization problems	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
The first 50 years for applicable analysis	4
Limiting dynamics of stochastic heat equations with memory on thin domains	4
Semilinear elliptic problems via the nonlinear Rayleigh quotient with two nonlocal nonlinearities	4
Heisenberg–Pauli–Weyl uncertainty principle for ambiguity function	4
On limit connection between two problems of complex heat exchange	4
Discrete-time state observations control to synchronization of hybrid-impulses complex-valued multi-links coupled systems	4
Uniqueness of non-negative solutions to an integral equation of the Choquard type	4
Energy decay of nonlocal viscoelastic equations with nonlinear damping and polynomial nonlinearity	3
On the existence and uniqueness of solutions of thermo-poroelastic media saturated by two-phase fluids	3
Qualitative analysis of a stock-effort parabolic model incorporating marine reserve	3
Attractors of Ginzburg–Landau equations with oscillating terms in porous media: homogenization procedure	3
Synchronization of Kuramoto oscillators with the distributed time-delays and inertia effect	3
An inverse problem for the system modeling nonhomogeneous asymmetric fluids	3
On a compressible diffuse interface model for immiscible mixtures of liquid crystal and viscous fluid	3
Inversion formula for the windowed linear canonical transform	3

Blow-up time analysis of parabolic equations with variable nonlinearities	3
Asymptotic analysis for non-local problems in composites with different imperfect contact conditions	3
Quadratic coupled Schrödinger systems with sign-changing potential	3
On the space-time analyticity of the inhomogeneous heat equation on the half space with Neumann boundary conditions	3
Asymptotic stability for stochastic elastic systems with damping	3
Well-posedness of multidimensional semi-infinite variational inequalities with applications	3
Mathematical model of cancer with radiotherapy and chemotherapy treatments	3
Finitely degenerate pseudo-parabolic equations with logarithmic nonlinearity	3
Nonexistence of global solutions for a Euler–Poisson–Darboux–Tricomi equation with combined nonlinearity	3
A Nekhoroshev-type theorem for the nonlinear Schrödinger equations on the d -dimensional torus	3
Optimal control for a fully parabolic singular chemotaxis model with indirect signal consumption in two space dimensions	3
Well-posedness and exponential stability of coupled non-degenerate Kirchhoff and heat equations	3
Existence results for a nonlinear neutron transport equation with elastic and inelastic collision operators in L p	3
H 2 -solutions for an Ostrosky–Hunter type equation	3
A homogenization approach to the effect of surfactant concentration and interfacial slip on the flow past viscous drops	3
Superconvergence analysis for nonlinear viscoelastic wave equation with strong damping	3
On initial-boundary value problem for the Burgers equation in nonlinearly degenerating domain	3
On the univalence of certain polyharmonic mappings under differential operator	3
Bernstein polynomial for solving third kind VIEs with nonlinear vanishing delays	3
Null controllability of some stochastic complex parabolic equations with singular potentials	3
Attractors for partially damped systems of binary mixtures of solids	3
Finite-time blow-up on a volume-filling attraction–repulsion system	3
Asymptotic profile and optimal decay of solutions for the wave equation with rotational inertia and logarithmic-Laplacian term	2
Asymptotically almost periodic solutions of discrete dynamical systems and applications	2
Well-posedness and dynamical properties for a class of plate equation	2
Source-term determination for an elliptic equation in a cylinder from boundary observations	2
Reducible–KAM torus for two dimensional completely resonant reversible quintic Schrödinger systems	2
On the absence of global weak solutions for a nonlinear time-fractional Schrödinger equation	2
Multiple tsunami waves of the fractional geophysical KdV equation	2
Estimates of the solution of the Stokes problem in an L -shaped structure	2
Strong waves for epidemic model with time-space delay and multiple infectious stages	2
The asymptotic behavior of Riemann solutions for the Aw-Rascle-Zhang traffic flow model with the polytropic and logarithmic combined pressure term	2
Blow-up of a quasi-linear pseudo-parabolic equation with critical initial energy	2
Constant vorticity two-layer flows over variable bottom at arbitrary latitude	2
On the relevance of the Rosenau-type equations for nonlinear wave propagation in one-dimensional lattices	2
Inertial primal-dual dynamics with damping and scaling for linearly constrained convex optimization problems	2
Properties of minimizers for mass critical Kirchhoff energy functionals in bounded domains	2
Uniqueness and stabilized algorithm for an inverse problem of identifying space-time dependent diffusion coefficients	2
Generalized approach for stability numbers of shear-damped Bresse systems with Cattaneo couplings	2
Uniform stability of a semilinear coupled Timoshenko beam and an elastodynamic system in an inhomogeneous medium	2
Optimal control of Gao beam contact with double Signorini conditions	2
Multiplicity of solutions for a non-local problem with indefinite weights	2
The existence of continuous weak solutions with compact support for degenerate parabolic systems with exchange-type source	2
Singular p(x) -Laplacian equation with application to boundary layer theory	2
Monotone iterative technique for delay elastic systems in ordered Banach space	2
Viscoelasticity versus nonlinear feedback in plate systems: optimal decay	2
Probabilistic global well-posedness for a viscous nonlinear wave equation modeling fluid–structure interaction	2
Fibre homogenisation for time-dependent problems	2
Spreading speed of a lattice time-periodic Lotka–Volterra competition system with bistable nonlinearity	2
Dynamics of periodic fractional discrete NLS in the continuum limit	2
Global well-posedness for a chemotaxis-fluid system with two chemicals in Besov-Morrey spaces	2
Boundary determination of coefficients appearing in a perturbed weighted p -Laplace equation	2
Implicit fractional sweeping process with application to unilateral contact problem	2
Radially symmetric solutions of the nonlinear Neumann problem for the prescribed mean curvature equation in standard static spacetime	2
Global regularity of the steady magnetic damping boundary layer equation	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
Riemann-Hilbert Problems for biaxial symmetric solutions to iterated Dirac equations with α -weight	2
Constant sign and nodal solutions for singular Gierer–Meinhardt-type system	2
The local well-posedness for the dispersion generalized Camassa–Holm equation	2
The Fourier–Bessel method for the inverse scattering problem of cavities	2
Singular solutions to the Riemann problem for the pressureless Euler equations with discontinuous source term	2
New results concerning a singular biharmonic equations with p -Laplacian and Hardy potential	2
Necessary conditions of the occurrence of chaotic vibrations in the wave equations	2
Refined criteria toward boundedness in an attraction–repulsion chemotaxis system with nonlinear productions	2
Quantitative unique continuation property for Baouendi–Grushin type subelliptic operators	2
On an inhomogeneous slip-inflow boundary value problem for a steady viscous compressible channel flow	2
On the L 2 -boundedness of semiclassical Fourier integral operators with rough amplitude and phase functions	2
Non-linear boundary condition for non-ideal electrokinetic equations in porous media	2
Delta shock wave for ternary nonlinear chromatography equations as self-similar viscosity limit	2
Existence and optimality in discrete and differential inclusions for the Bolza problem	2
On the stability of determining a nonlinear coefficient for the third-order nonlinear acoustic equation	2
Lagrange-type optimization with inequality constraints	2
Pressure behavior and wave height estimates for steady periodic equatorial water waves	2
New stability result for bresse system with dual-phase-lag thermoelasticity	2
Global well-posedness of fourth-order Petrovsky equation with weak and strong damping terms	2
High-frequency homogenization of multidimensional hyperbolic equations	2
New concentrated solutions for the nonlinear Schrödinger–Newton system	2
Qualitative behavior of solutions for a chemotaxis-haptotaxis system with gradient-dependent flux-limitation	2
Finite time stability and relative controllability of fractional oscillation systems with pure delay	2

Existence results of singular Toda system with several critical parameters	2
Weak solutions to the full MHD system with non-homogeneous boundary conditions	2
Quasi-periodic solutions for a class of wave equation system	2
Local error estimates and post processing for the Galerkin BEM on polygons	2
On an incompressible inertial nematic electrolyte model of liquid crystal flow	2
Global unique solutions for 3D inhomogeneous incompressible MHD equations with discontinuous density	2
Attractors and observability for nonlinear Timoshenko system with arbitrary memory	1
A general egg-limited and search-limited host–parasitoid model with proportional host refuge	1
Forced waves of the Fisher-KPP equation with nonlocal anisotropic dispersal in a shifting environment	1
Uniqueness and attractiveness of periodic solutions in delayed PDEs: a semi-Fredholm approach	1
Modified Schrödinger Kirchhoff Hardy operator involving critical Choquard type nonlinearity with parameter	1
Mathematical problems of dynamical interaction of fluids and multiferroic solids	1
An efficient computational approach for solving two-dimensional extended Fisher–Kolmogorov equation	1
Asymptotic behaviors for the eigenvalues of the Schrödinger equation	1
Solvability of certain one-dimensional semilinear hyperbolic systems and hyperbolic Liouville equation	1
BSDEs driven by fractional Brownian motion with time-delayed generators	1
Well-posedness and large-time behavior for the compressible non-isothermal nematic liquid crystal flows	1
Infinitely many sign-changing solutions for planar Schrödinger–Poisson system	1
Existence and stability of traveling waves for a nonlocal time-delayed degenerate diffusion equation	1
On the conjugate gradient subspace pursuit algorithm	1
The heat semigroup associated with the Jacobi–Cherednik operator and its applications	1
Convergent estimate results of the Landweber–Kaczmarz iterative algorithm	1
Extragradient methods with dual inertial steps for solving equilibrium problems	1
A novel method for solving split variational inequality and fixed point problems	1
A singular Adams' inequality with logarithmic weights and applications	1
Boundary output tracking for a flexible beam with tip payload and boundary nonlinear disturbance	1
Optimality conditions and sensitivity analysis in parametric convex minimax programming	1
Pattern formation from homogeneous states for an elliptic system with mixed interactions	1
Boundedness of conformable fractional-order non-autonomous systems with discrete and distributed delays	1
Lifespan estimates for local solutions to the semilinear wave equation in Einstein–de Sitter spacetime	1
Almost periodic solutions of Boussinesq systems in the whole space	1
Kinetic equation for spatially averaged molecular dynamics	1
Global well-posedness and scattering for the coupled NLS in critical spaces	1
Energy decay for coupled wave-plate system with one Kelvin-Voigt or structural damping	1
Coexistence states for a prey-predator model with self-diffusion and predator-taxis	1
Existence, uniqueness and asymptotic behavior of solutions for a nonsmooth producer-grazer system with stoichiometric constraints	1
On the first Steklov–Dirichlet eigenvalue on eccentric annuli in general dimensions	1
Well-posedness and exponential stability for Von Kármán delayed system with infinite memory	1
Homogenization of a nonlinear reaction-diffusion problem in a porous medium with double periodicity	1
Global and blow-up solutions for a heat equation with variable reaction	1
On some recently derived exact solutions to the Euler equations	1
Infinitely many solutions for nonlinear fourth-order Schrödinger equations with mixed dispersion	1
Approximation of eigenvalues and eigenfunctions of the diffusion operator in a domain containing thin tubes by asymptotic domain decomposition method	1
On the conditions for the existence of a piecewise smooth solution of the Riemann problem for one class of conservation laws	1
Inverse scattering for N -body time-decaying harmonic oscillators	1
A stability result for viscoelastic piezoelectric system with nonlinear feedback	1
Global dynamics for a class of reaction–diffusion equations with distributed delay and non-monotone bistable nonlinearity	1
Homogenization of quasilinear elliptic problems with interfacial resistance and weak data	1
Gevrey regularity for the Euler–Bernoulli beam equation with localized structural damping	1
On a quenching problem of hyperbolic MEMS equation with a nonlocal term	1
Spectral problems with perturbed Steklov conditions in thick junctions with branched structure	1
Existence and non-existence of minimizers for Hardy-Sobolev type inequality with Hardy potentials	1
Global analysis of the Gray–Scott model with fractional–classical diffusion	1
Exact solutions for geophysical flows with discontinuous variable density and forcing terms in spherical coordinates	1
Stabilization of laminated beam with structural damping and a heat conduction of Gurtin–Pipkin's law	1
Some qualitative properties for the Kirchhoff total variation flow	1
Spectral stability of periodic traveling wave solutions for a double dispersion equation	1
Well-posedness and exponential stability for the logarithmic Lamé system with a time delay	1
Optimization of semilinear higher-order delay differential inclusions	1
Modeling and mathematical analysis of root water uptake in the rhizosphere	1
Adaptive ensemble Kalman inversion for inverse scattering problem with phaseless far-field data	1
Steepest descent method for uncertain multiobjective optimization problems under finite uncertainty set	1
On source identification problem for a parabolic equation with memory term	1
The spectrum of the main operator of Rotenberg equation with time-delay	1
Analysis of a reaction–diffusion dengue model with vector bias on a growing domain	1
Multiplicity and concentration of non trivial solutions for a class of magnetic Schrödinger equations	1
Asymptotic profiles of solutions to the two-dimensional incompressible magneto-micropolar equations	1
Global dynamics of two-species reaction–diffusion competition model with Gompertz growth	1
Semi-analytic PINN methods for singularly perturbed boundary value problems	1
Lack of differentiability of semigroups associated to delayed abstract thermoelastic systems	1
Solution to an open question about optimal economic growth models	1
Variable exponents anisotropic nonlinear elliptic systems with Lp′→(⋅)-data	1
Criteria for finite time blow up for a system of Klein–Gordon equations	1
Sufficient condition based on nearly optimal order RIC for IHT algorithm	1
Unique local weak solutions of the non-resistive MHD equations in homogeneous Besov space	1
Convergence results of nonlinear problems based on Tikhonov regularization method	1
Two nonlinear models for stratified flows of the Antarctic Circumpolar Current	1
Non-coercive differential inclusions problems in anisotropic Sobolev spaces with variable exponents	1
On second-order optimality conditions for C 1,1 optimization problems via Lagrangian functions	1
An improved blow-up criterion for the 3D nematic liquid crystal flows	1
Multiplicity results for p(x) -biharmonic equations with nonlinear boundary conditions	1
Regularity of the free boundary for the vectorial divergence form minimization problem	1
Sensitivity analysis of the current and the electrostatic capacity with respect to small perturbations in the surface of a conductor	1
Anisotropic elliptic system with variable exponents and degenerate coercivity withLmdata	1
Decay property of regularity-loss type for the Euler–Cattaneo–Maxwell system	1
Steady wave propagation in rotational flows with discontinuous vorticity and surface tension	1
Well-posedness and finite element approximation for the Landau–Lifshitz–Gilbert equation with spin torques	1
Global well-posedness and large-time behavior of solutions to the 3D inviscid magneto-micropolar equations with damping	1
Analysis and simulation of diffusion equation on star graph with/without temporal loads	1
Random potentials for Markov processes	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
Stability of a kind of periodic welding problems under perturbations	1
Radial solutions for a Neumann problem with mean curvature on exterior domain	1
A corrector result for an electrostatic model of interdigitated combs	1