Applicable Analysis

Article	Citations
On solvability in the small and Schauder-type estimates for higher order elliptic equations in grand Sobolev spaces (nonseparable case)	46
Uniform convergence of the LDG method for singularly perturbed problems	45
Periodic solutions of a fractional Schrödinger equation	34
Gaps in the spectrum of two-dimensional square packing of stiff disks	25
Intrinsic phenomena of delta shock waves in a more realistic Chaplygin Aw–Rascle model	22
Solvability of two immiscible fluid flows over an obstacle	22
Existence of a weak solution to a generalized Riemann-type hydrodynamical equation	18
Shock wave interactions for a rate-type material model	17
Inertial subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces	16
Hamiltonian systems with several space variables: dressing, explicit solutions and energy relations	15
Global well-posedness and large time behavior for the 3D magneto-micropolar equations	14
Uniform attractors for 3D MHD equations with nonlinear damping	14
Reciprocity gap functional for potentials/sources with small-volume support for two elliptic equations	14
Uniform bounds and asymptotic behavior for nonlinear parabolic equations with absorption terms	13
Analysis of a delayed spatiotemporal model of HBV infection with logistic growth	13
Global well-posedness of strong solutions for the non-isentropic compressible Navier-Stokes equations in the presence of vacuum and without initial compatibility conditions	13
Synchronization phenomena in thermoelastic waves connected in parallel	12
Long wavelength limit of the KP-type equation for the ion dynamics system	11
Infinitely many high energy solutions for nonlocal fourth-order equation with sigh-changing potential	11
General decay of the Cauchy problem for α -evolution models with β -memory term	10
Ground state solutions for weighted biharmonic Kirchhoff problem via the Nehari manifold approach	9
Orbital stability of solitary wave for the Zakharov equation with cubic-quintic nonlinearity	9
Existence of solutions for a class of quasilinear equations with vanishing potentials	9
Smooth traveling waves for doubly nonlinear degenerate diffusion equations with time delay	8
Inversion of the exponential X-ray transform of symmetric 2-tensors	8

Boundedness in a parabolic-elliptic chemotaxis system with logistic source involving the exponents depending on the spatial variables and nonlinear signal productions	8
On the blow-up of the inhomogeneous nonlinear Schrödinger equation with power-type perturbation	8
Non-existence of stationary solutions for a cross-diffusion food web model with cycle	8
Solution properties of convex sweeping processes with velocity constraints	8
Fourth-order nonlinear Schrödinger equations in an exterior domain	8
On new refinement of the Jensen inequality using uniformly convex functions with applications	8
Degenerate parabolic equations with partial boundary value conditions	7
Uniqueness and generic regularity of global weak conservative solutions to the Constantin-Lannes equation	7
The shearlet transform and asymptotic behavior of Lizorkin distributions	7
Uniform convergence of the one-dimensional cubic Schrödinger equation	7
Dipolar Komatu–Loewner differential equation	7
Blowup property of solutions in the parabolic equation with p-Laplacian operator and multi-nonlinearities	6
Hilbert expansion of Boltzmann equations for gas mixture	6
Multiplicity of solutions for Kirchhoff type equations with critical growth in ℝ N	5
Higher-order approximate solutions of singularly perturbed problems with multiple turn points	5
An inverse source problem for linearly anisotropic radiative sources in absorbing and scattering medium	5
On the Cauchy problem of the MGT-viscoelastic plate with heat conduction of Fourier law	5
The local characterizations of the singularity formation for the MHD equations	5
The perturbed Riemann problem for the Chaplygin pressure Aw–Rascle model with Coulomb-like friction	5
Propagation of transient acoustic waves in a cancellous bone revisited	5
Stabilization of a thermoelastic diffusion system of type II damped and delayed	5
Necessary optimality conditions for nonsmooth multiobjective bilevel programs using the Drummond-Svaiter functional	5
On the fractional P – Q laplace operator with weights	5
Stability of some recent exact solutions to the three-dimensional geophysical Euler equations	5
Derivation of Stokes-plate-equations modeling fluid flow interaction with thin porous elastic layers	4
The backward problem of a stochastic PDE with bi-harmonic operator driven by fractional Brownian motion	4
Discrete-time state observations control to synchronization of hybrid-impulses complex-valued multi-links coupled systems	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
Turing instabilities in a glycolysis reaction-diffusion system	4
On limit connection between two problems of complex heat exchange	4
Global well-posedness of fractional 3D magneto-micropolar fluid equations in variable-exponent Fourier–Besov–Morrey spaces	4
The first 50 years for applicable analysis	4
Limiting dynamics of stochastic heat equations with memory on thin domains	4
Well-posedness for Euler-Fourier system with damping in the critical space	4
On concentration of solutions for quasilinear Schrödinger equations with critical growth in the plane	4
Existence and stability of weakly Pareto-Nash equilibria for discontinuous multiobjective games	4
Heisenberg–Pauli–Weyl uncertainty principle for ambiguity function	4
A stochastic primal-dual splitting algorithm with variance reduction for composite optimization problems	4
Uniqueness of non-negative solutions to an integral equation of the Choquard type	4
On initial-boundary value problem for the Burgers equation in nonlinearly degenerating domain	3
H 2 -solutions for an Ostrosky–Hunter type equation	3
Attractors for partially damped systems of binary mixtures of solids	3
Existence results for a nonlinear neutron transport equation with elastic and inelastic collision operators in L p	3
Attractors of Ginzburg–Landau equations with oscillating terms in porous media: homogenization procedure	3
On the existence and uniqueness of solutions of thermo-poroelastic media saturated by two-phase fluids	3
Well-posedness and exponential stability of coupled non-degenerate Kirchhoff and heat equations	3
Efficient numerical pricing of American options based on multiple shooting method: a PDE approach	3
Energy decay of nonlocal viscoelastic equations with nonlinear damping and polynomial nonlinearity	3
Null controllability of some stochastic complex parabolic equations with singular potentials	3

On the space-time analyticity of the inhomogeneous heat equation on the half space with Neumann boundary conditions	3
Estimates on blow-up time of a parabolic system with nonlinear boundary flux	3
Optimal control for a fully parabolic singular chemotaxis model with indirect signal consumption in two space dimensions	3
Quadratic coupled Schrödinger systems with sign-changing potential	3
Asymptotic analysis for non-local problems in composites with different imperfect contact conditions	3
Well-posedness of multidimensional semi-infinite variational inequalities with applications	3
Semilinear elliptic problems via the nonlinear Rayleigh quotient with two nonlocal nonlinearities	3
Asymptotic stability for stochastic elastic systems with damping	3
Mathematical model of cancer with radiotherapy and chemotherapy treatments	3
Nonexistence of global solutions for a Euler–Poisson–Darboux–Tricomi equation with combined nonlinearity	3
Optimal convergence rate to nonlinear diffusion waves for bipolar Euler–Poisson equations with critical overdamping	3
A homogenization approach to the effect of surfactant concentration and interfacial slip on the flow past viscous drops	3
Blow-up time analysis of parabolic equations with variable nonlinearities	3
Qualitative analysis of a stock-effort parabolic model incorporating marine reserve	3
Finitely degenerate pseudo-parabolic equations with logarithmic nonlinearity	3
A study on a class of weighted elliptic problems with indefinite nonlinearities	3
An inverse problem for the system modeling nonhomogeneous asymmetric fluids	3
Bernstein polynomial for solving third kind VIEs with nonlinear vanishing delays	3
Inversion formula for the windowed linear canonical transform	3
Fully decoupled, linear and unconditional stability implicit/explicit scheme for the natural convection problem	3
A Nekhoroshev-type theorem for the nonlinear Schrödinger equations on the d -dimensional torus	3
Finite-time blow-up on a volume-filling attraction–repulsion system	3
On the univalence of certain polyharmonic mappings under differential operator	3
Well-posedness and dynamical properties for a class of plate equation	2
Dynamics of periodic fractional discrete NLS in the continuum limit	2
Refined criteria toward boundedness in an attraction–repulsion chemotaxis system with nonlinear productions	2
A partially degenerate reaction–diffusion cholera model with temporal and spatial heterogeneity	2
On the Cauchy problem for the two-component Novikov system with peakons	2
Domain truncation methods for the wave equation in a homogenization limit	2
Upscaling a Navier-Stokes-Cahn-Hilliard model for two-phase porous-media flow with solute-dependent surface tension effects	2
Monotone iterative technique for delay elastic systems in ordered Banach space	2
Superconvergence analysis for nonlinear viscoelastic wave equation with strong damping	2
Singular solutions to the Riemann problem for the pressureless Euler equations with discontinuous source term	2
The Fourier–Bessel method for the inverse scattering problem of cavities	2
Multiplicity of solutions for a non-local problem with indefinite weights	2
The decay rate of solutions to some second-order evolution equations with the nonlinear supercritical damping term	2
Global well-posedness for a chemotaxis-fluid system with two chemicals in Besov-Morrey spaces	2
Singular p(x) -Laplacian equation with application to boundary layer theory	2
New results concerning a singular biharmonic equations with p -Laplacian and Hardy potential	2
Weak solutions to the full MHD system with non-homogeneous boundary conditions	2
Synchronization of Kuramoto oscillators with the distributed time-delays and inertia effect	2
Local error estimates and post processing for the Galerkin BEM on polygons	2
Qualitative behavior of solutions for a chemotaxis-haptotaxis system with gradient-dependent flux-limitation	2
Homogenization of a mixed boundary condition	2
Existence and regularity of global solutions to a Cauchy problem for a square phase-field crystal model	2
Reducible–KAM torus for two dimensional completely resonant reversible quintic Schrödinger systems	2
The asymptotic behavior of Riemann solutions for the Aw-Rascle-Zhang traffic flow model with the polytropic and logarithmic combined pressure term	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
Blow-up of a quasi-linear pseudo-parabolic equation with critical initial energy	2
Blow-up of positive solutions for the semilinear heat equation with a potential	2
Strong waves for epidemic model with time-space delay and multiple infectious stages	2
Special affine multiresolution analysis and the construction of orthonormal wavelets in L2(ℝ)	2
Generalized approach for stability numbers of shear-damped Bresse systems with Cattaneo couplings	2
Uniqueness and stabilized algorithm for an inverse problem of identifying space-time dependent diffusion coefficients	2
Quasi-periodic solutions for a class of wave equation system	2
Necessary conditions of the occurrence of chaotic vibrations in the wave equations	2
Viscoelasticity versus nonlinear feedback in plate systems: optimal decay	2
High-frequency homogenization of multidimensional hyperbolic equations	2
The local well-posedness for the dispersion generalized Camassa–Holm equation	2
On an incompressible inertial nematic electrolyte model of liquid crystal flow	2
Asymptotically almost periodic solutions of discrete dynamical systems and applications	2
Constant sign and nodal solutions for singular Gierer–Meinhardt-type system	2
Uniform stability of a semilinear coupled Timoshenko beam and an elastodynamic system in an inhomogeneous medium	2
Lagrange-type optimization with inequality constraints	2
New stability result for bresse system with dual-phase-lag thermoelasticity	2
Probabilistic global well-posedness for a viscous nonlinear wave equation modeling fluid–structure interaction	2
Implicit fractional sweeping process with application to unilateral contact problem	2
Riemann-Hilbert Problems for biaxial symmetric solutions to iterated Dirac equations with α -weight	2
Non-linear boundary condition for non-ideal electrokinetic equations in porous media	2
Constant vorticity two-layer flows over variable bottom at arbitrary latitude	2
Existence and optimality in discrete and differential inclusions for the Bolza problem	2
New concentrated solutions for the nonlinear Schrödinger–Newton system	2
Existence results of singular Toda system with several critical parameters	2
Inertial primal-dual dynamics with damping and scaling for linearly constrained convex optimization problems	2
On the L 2 -boundedness of semiclassical Fourier integral operators with rough amplitude and phase functions	2
Radially symmetric solutions of the nonlinear Neumann problem for the prescribed mean curvature equation in standard static spacetime	2
Optimal control of Gao beam contact with double Signorini conditions	2
Multiple tsunami waves of the fractional geophysical KdV equation	2
Local and global analyticity for theμ-Novikov equation	2

Properties of minimizers for mass critical Kirchhoff energy functionals in bounded domains	2
Estimates for coderivative of solution map in bilevel program	2
The existence of continuous weak solutions with compact support for degenerate parabolic systems with exchange-type source	2
Finite time stability and relative controllability of fractional oscillation systems with pure delay	2
Biparametric identification for a free boundary of ductal carcinoma in situ	2
Spreading speed of a lattice time-periodic Lotka–Volterra competition system with bistable nonlinearity	2
Asymptotic profile and optimal decay of solutions for the wave equation with rotational inertia and logarithmic-Laplacian term	2
Existence and stability of traveling waves for a nonlocal time-delayed degenerate diffusion equation	1
Existence, uniqueness and asymptotic behavior of solutions for a nonsmooth producer-grazer system with stoichiometric constraints	1
Global dynamics for a class of reaction–diffusion equations with distributed delay and non-monotone bistable nonlinearity	1
Anisotropic elliptic system with variable exponents and degenerate coercivity withLmdata	1
On the open sea propagation of two-dimensional rotational water waves generated by a moving bed	1
Existence and non-existence of minimizers for Hardy-Sobolev type inequality with Hardy potentials	1
Pattern formation from homogeneous states for an elliptic system with mixed interactions	1
Robust duality for nonconvex uncertain vector optimization via a general scalarization	1
The Cauchy problem and continuation of periodic solutions for a generalized Camassa–Holm equation	1
Convergence results of nonlinear problems based on Tikhonov regularization method	1
Steepest descent method for uncertain multiobjective optimization problems under finite uncertainty set	1
BSDEs driven by fractional Brownian motion with time-delayed generators	1
Coexistence states for a prey-predator model with self-diffusion and predator-taxis	1
Stability of a kind of periodic welding problems under perturbations	1
Well-posedness and exponential stability for Von Kármán delayed system with infinite memory	1
Infinitely many sign-changing solutions for planar Schrödinger–Poisson system	1
On source identification problem for a parabolic equation with memory term	1
Modified Schrödinger Kirchhoff Hardy operator involving critical Choquard type nonlinearity with parameter	1
Well-posedness and large-time behavior for the compressible non-isothermal nematic liquid crystal flows	1
Infinitely many solutions for nonlinear fourth-order Schrödinger equations with mixed dispersion	1
On some recently derived exact solutions to the Euler equations	1
The spectrum of the main operator of Rotenberg equation with time-delay	1
Long-time dynamics of a problem of strain gradient porous elastic theory with nonlinear damping and source terms	1
A singular Adams' inequality with logarithmic weights and applications	1
Semi-classical solutions for generalized quasilinear Schrödinger equations with nonlocal term and upper critical exponent	1
Global solutions to the bipolar non-isentropic Euler-Maxwell system in the Besov framework	1
Long-time behavior of solutions to free boundary problems modeling tumor evolution	1
Two nonlinear models for stratified flows of the Antarctic Circumpolar Current	1
Stabilization of laminated beam with structural damping and a heat conduction of Gurtin–Pipkin's law	1
Global dynamics of two-species reaction–diffusion competition model with Gompertz growth	1
A novel method for solving split variational inequality and fixed point problems	1
On the absence of global weak solutions for a nonlinear time-fractional Schrödinger equation	1
Optimization of semilinear higher-order delay differential inclusions	1
Gevrey regularity for the Euler–Bernoulli beam equation with localized structural damping	1
Spectral stability of periodic traveling wave solutions for a double dispersion equation	1
Approximation of eigenvalues and eigenfunctions of the diffusion operator in a domain containing thin tubes by asymptotic domain decomposition method	1
Homogenization of a nonlinear reaction-diffusion problem in a porous medium with double periodicity	1
Modeling and mathematical analysis of root water uptake in the rhizosphere	1
Radial solutions for a Neumann problem with mean curvature on exterior domain	1
Convergent estimate results of the Landweber–Kaczmarz iterative algorithm	1
A global in time existence and uniqueness result of a multidimensional inverse problem	1
Convergence results for proximal point algorithm with inertial and correction terms	1
Global and blow-up solutions for a heat equation with variable reaction	1
Homogenization results for a Landau–Lifshitz–Gilbert equation in composite materials with transmission defects	1
Semi-analytic PINN methods for singularly perturbed boundary value problems	1
Lack of differentiability of semigroups associated to delayed abstract thermoelastic systems	1
Global well-posedness and scattering for the coupled NLS in critical spaces	1
Solution to an open question about optimal economic growth models	1
Variable exponents anisotropic nonlinear elliptic systems with Lp′→(⋅)-data	1
Boundedness of conformable fractional-order non-autonomous systems with discrete and distributed delays	1
Criteria for finite time blow up for a system of Klein–Gordon equations	1
Complicate bifurcation behaviors of a discrete predator–prey model with group defense and nonlinear harvesting in prey	1
Qualitative properties for some integral systems involving Riesz potentials	1
On the conditions for the existence of a piecewise smooth solution of the Riemann problem for one class of conservation laws	1
Asymptotic profiles of solutions to the two-dimensional incompressible magneto-micropolar equations	1
Analysis of a reaction–diffusion dengue model with vector bias on a growing domain	1
A note on a modified Hilbert transform	1
Regularity of the free boundary for the vectorial divergence form minimization problem	1
Some qualitative properties for the Kirchhoff total variation flow	1
Sufficient condition based on nearly optimal order RIC for IHT algorithm	1
Extragradient methods with dual inertial steps for solving equilibrium problems	1
Spectral problems with perturbed Steklov conditions in thick junctions with branched structure	1
Delta shock wave for ternary nonlinear chromatography equations as self-similar viscosity limit	1
Concentrated solution of Kirchhoff-type equations	1
Lifespan estimates for local solutions to the semilinear wave equation in Einstein–de Sitter spacetime	1
Well-posedness and finite element approximation for the Landau–Lifshitz–Gilbert equation with spin torques	1
Kinetic equation for spatially averaged molecular dynamics	1
A stability result for viscoelastic piezoelectric system with nonlinear feedback	1
Solvability of certain one-dimensional semilinear hyperbolic systems and hyperbolic Liouville equation	1
Semilinear parabolic equations in Herz spaces	1
Almost periodic solutions of Boussinesq systems in the whole space	1
Well-posedness and exponential stability for the logarithmic Lamé system with a time delay	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
Limiting profile of solutions for sublinear elliptic equations with shrinking self-focusing core	1
Well-posedness, monotonicity, asymptotic translation of the Cauchy problem of delayed reaction–diffusion systems	1
Decay property of regularity-loss type for the Euler–Cattaneo–Maxwell system	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
A corrector result for an electrostatic model of interdigitated combs	1
Asymptotic behaviors for the eigenvalues of the Schrödinger equation	1
General decay properties of Moore–Gibson–Thompson equation with memory of type II	1
Non-coercive differential inclusions problems in anisotropic Sobolev spaces with variable exponents	1
Global well-posedness and large-time behavior of solutions to the 3D inviscid magneto-micropolar equations with damping	1
Boundary output tracking for a flexible beam with tip payload and boundary nonlinear disturbance	1
Multiplicity and concentration of non trivial solutions for a class of magnetic Schrödinger equations	1
The heat semigroup associated with the Jacobi–Cherednik operator and its applications	1
Optimality conditions and sensitivity analysis in parametric convex minimax programming	1