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	42
Periodic solutions of a fractional Schrödinger equation	27
On an optimal control problem describing lactate production inhibition	23
Gaps in the spectrum of two-dimensional square packing of stiff disks	21
Intrinsic phenomena of delta shock waves in a more realistic Chaplygin Aw–Rascle model	20
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	15
Global well-posedness and large time behavior for the 3D magneto-micropolar equations	14
Analysis of a delayed spatiotemporal model of HBV infection with logistic growth	14
Reciprocity gap functional for potentials/sources with small-volume support for two elliptic equations	14
Synchronization phenomena in thermoelastic waves connected in parallel	14
Existence of a weak solution to a generalized Riemann-type hydrodynamical equation	13
Solvability of two immiscible fluid flows over an obstacle	13
Uniform attractors for 3D MHD equations with nonlinear damping	13
Infinitely many high energy solutions for nonlocal fourth-order equation with sigh-changing potential	12
Shock wave interactions for a rate-type material model	12
Orbital stability of solitary wave for the Zakharov equation with cubic-quintic nonlinearity	11
Long wavelength limit of the KP-type equation for the ion dynamics system	11
General decay of the Cauchy problem for α -evolution models with β -memory term	11
Ground state solutions for weighted biharmonic Kirchhoff problem via the Nehari manifold approach	10
Smooth traveling waves for doubly nonlinear degenerate diffusion equations with time delay	9
On the blow-up of the inhomogeneous nonlinear Schrödinger equation with power-type perturbation	9
Existence of solutions for a class of quasilinear equations with vanishing potentials	9
Fourth-order nonlinear Schrödinger equations in an exterior domain	8

Non-existence of stationary solutions for a cross-diffusion food web model with cycle	8
Inversion of the exponential X-ray transform of symmetric 2-tensors	8
On new refinement of the Jensen inequality using uniformly convex functions with applications	8
Solution properties of convex sweeping processes with velocity constraints	8
The shearlet transform and asymptotic behavior of Lizorkin distributions	8
Boundedness in a parabolic-elliptic chemotaxis system with logistic source involving the exponents depending on the spatial variables and nonlinear signal productions	8
Blowup property of solutions in the parabolic equation with p-Laplacian operator and multi-nonlinearities	7
Degenerate parabolic equations with partial boundary value conditions	7
Uniqueness and generic regularity of global weak conservative solutions to the Constantin-Lannes equation	7
Dipolar Komatu–Loewner differential equation	7
Hilbert expansion of Boltzmann equations for gas mixture	7
Uniform convergence of the one-dimensional cubic Schrödinger equation	7
The perturbed Riemann problem for the Chaplygin pressure Aw–Rascle model with Coulomb-like friction	6
Stabilization of a thermoelastic diffusion system of type II damped and delayed	6
The local characterizations of the singularity formation for the MHD equations	6
Multiplicity of solutions for Kirchhoff type equations with critical growth in ℝ N	6
Heisenberg–Pauli–Weyl uncertainty principle for ambiguity function	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
An inverse source problem for linearly anisotropic radiative sources in absorbing and scattering medium	5
Existence and stability of weakly Pareto-Nash equilibria for discontinuous multiobjective games	5
On limit connection between two problems of complex heat exchange	5
On the fractional P – Q laplace operator with weights	5
Necessary optimality conditions for nonsmooth multiobjective bilevel programs using the Drummond-Svaiter functional	5
Higher-order approximate solutions of singularly perturbed problems with multiple turn points	5
On the Cauchy problem of the MGT-viscoelastic plate with heat conduction of Fourier law	5
The first 50 years for applicable analysis	4
Global Lipschitz stability for an inverse source problem for the Navier–Stokes equations	4
A stochastic primal-dual splitting algorithm with variance reduction for composite optimization problems	4
Limiting dynamics of stochastic heat equations with memory on thin domains	4
On initial-boundary value problem for the Burgers equation in nonlinearly degenerating domain	4
Propagation of transient acoustic waves in a cancellous bone revisited	4
On concentration of solutions for quasilinear Schrödinger equations with critical growth in the plane	4
Uniqueness of non-negative solutions to an integral equation of the Choquard type	4
Normalized solutions to the Sobolev critical Kirchhoff-type equation with non-trapping potential	4
Finite-time blow-up on a volume-filling attraction–repulsion system	4
Stability of some recent exact solutions to the three-dimensional geophysical Euler equations	4
Derivation of Stokes-plate-equations modeling fluid flow interaction with thin porous elastic layers	4
The multidimensional coagulation and collisional breakage equation with unbounded kernel	4
Discrete-time state observations control to synchronization of hybrid-impulses complex-valued multi-links coupled systems	4
Optimal convergence rate to nonlinear diffusion waves for bipolar Euler–Poisson equations with critical overdamping	3
Bernstein polynomial for solving third kind VIEs with nonlinear vanishing delays	3
Energy decay of nonlocal viscoelastic equations with nonlinear damping and polynomial nonlinearity	3
Focusing intercritical NLS with inverse-square potential	3
A homogenization approach to the effect of surfactant concentration and interfacial slip on the flow past viscous drops	3
Attractors of Ginzburg–Landau equations with oscillating terms in porous media: homogenization procedure	3
Semilinear elliptic problems via the nonlinear Rayleigh quotient with two nonlocal nonlinearities	3
An inverse problem for the system modeling nonhomogeneous asymmetric fluids	3
Blow-up time analysis of parabolic equations with variable nonlinearities	3
Asymptotic stability for stochastic elastic systems with damping	3

The existence of continuous weak solutions with compact support for degenerate parabolic systems with exchange-type source	3
Constant sign and nodal solutions for singular Gierer–Meinhardt-type system	3
Fully decoupled, linear and unconditional stability implicit/explicit scheme for the natural convection problem	3
Attractors for partially damped systems of binary mixtures of solids	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
Efficient numerical pricing of American options based on multiple shooting method: a PDE approach	3
Existence results for a nonlinear neutron transport equation with elastic and inelastic collision operators in L p	3
Well-posedness of multidimensional semi-infinite variational inequalities with applications	3
A study on a class of weighted elliptic problems with indefinite nonlinearities	3
H 2 -solutions for an Ostrosky–Hunter type equation	3
Well-posedness and exponential stability of coupled non-degenerate Kirchhoff and heat equations	3
New results concerning a singular biharmonic equations with p -Laplacian and Hardy potential	3
Qualitative behavior of solutions for a chemotaxis-haptotaxis system with gradient-dependent flux-limitation	3
Mathematical model of cancer with radiotherapy and chemotherapy treatments	3
On the univalence of certain polyharmonic mappings under differential operator	3
Null controllability of some stochastic complex parabolic equations with singular potentials	3
Qualitative analysis of a stock-effort parabolic model incorporating marine reserve	3
Inversion formula for the windowed linear canonical transform	3
Nonexistence of global solutions for a Euler–Poisson–Darboux–Tricomi equation with combined nonlinearity	3
Optimal control for a fully parabolic singular chemotaxis model with indirect signal consumption in two space dimensions	3
Asymptotic analysis for non-local problems in composites with different imperfect contact conditions	3
On the existence and uniqueness of solutions of thermo-poroelastic media saturated by two-phase fluids	3
Positive and sign-changing solutions for nonlinear equations with rapid growing weights	3
A Nekhoroshev-type theorem for the nonlinear Schrödinger equations on the d -dimensional torus	3
On an incompressible inertial nematic electrolyte model of liquid crystal flow	3
Synchronization of Kuramoto oscillators with the distributed time-delays and inertia effect	3
Superconvergence analysis for nonlinear viscoelastic wave equation with strong damping	3
Integral type Cauchy problem for abstract wave equations and applications	2
Monotone iterative technique for delay elastic systems in ordered Banach space	2
Biparametric identification for a free boundary of ductal carcinoma in situ	2
Special affine multiresolution analysis and the construction of orthonormal wavelets in L2(ℝ)	2
Asymptotic profile and optimal decay of solutions for the wave equation with rotational inertia and logarithmic-Laplacian term	2
Pressure behavior and wave height estimates for steady periodic equatorial water waves	2
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
Refined criteria toward boundedness in an attraction–repulsion chemotaxis system with nonlinear productions	2
New concentrated solutions for the nonlinear Schrödinger–Newton system	2
Existence and optimality in discrete and differential inclusions for the Bolza problem	2
Probabilistic global well-posedness for a viscous nonlinear wave equation modeling fluid–structure interaction	2
Strongly convergent inertial extragradient type methods for equilibrium problems	2
Semiconductor full quantum hydrodynamic model with non-flat doping profile: (II) semi-classical limit	2
Multiplicity of solutions for a non-local problem with indefinite weights	2
Homogenization of a mixed boundary condition	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
Singular p(x) -Laplacian equation with application to boundary layer theory	2
Quasi-periodic solutions for a class of wave equation system	2
Singular solutions to the Riemann problem for the pressureless Euler equations with discontinuous source term	2
High-frequency homogenization of multidimensional hyperbolic equations	2
Asymptotically almost periodic solutions of discrete dynamical systems and applications	2
Multiple tsunami waves of the fractional geophysical KdV equation	2
Inertial proximal point algorithm for variational inclusion in Hadamard manifolds	2
Constant vorticity two-layer flows over variable bottom at arbitrary latitude	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
Implicit fractional sweeping process with application to unilateral contact problem	2
Global well-posedness of fourth-order Petrovsky equation with weak and strong damping terms	2
Existence and regularity of global solutions to a Cauchy problem for a square phase-field crystal model	2
Uniqueness and stabilized algorithm for an inverse problem of identifying space-time dependent diffusion coefficients	2
Properties of minimizers for mass critical Kirchhoff energy functionals in bounded domains	2
Domain truncation methods for the wave equation in a homogenization limit	2
An open mapping theorem for nonlinear operator equations associated with elliptic complexes	2
Estimates for coderivative of solution map in bilevel program	2
On the L 2 -boundedness of semiclassical Fourier integral operators with rough amplitude and phase functions	2
The local well-posedness for the dispersion generalized Camassa–Holm equation	2
The decay rate of solutions to some second-order evolution equations with the nonlinear supercritical damping term	2
Multi-valued variational inequalities in unbounded domains: existence, comparison and extremal solutions	2
Upscaling a Navier-Stokes-Cahn-Hilliard model for two-phase porous-media flow with solute-dependent surface tension effects	2
Finite time stability and relative controllability of fractional oscillation systems with pure delay	2
Lagrange-type optimization with inequality constraints	2
Viscoelasticity versus nonlinear feedback in plate systems: optimal decay	2
New stability result for bresse system with dual-phase-lag thermoelasticity	2
Radially symmetric solutions of the nonlinear Neumann problem for the prescribed mean curvature equation in standard static spacetime	2
Strong waves for epidemic model with time-space delay and multiple infectious stages	2
Blow-up of positive solutions for the semilinear heat equation with a potential	2
On the Cauchy problem for the two-component Novikov system with peakons	2
Blow-up of a quasi-linear pseudo-parabolic equation with critical initial energy	2
Inertial primal-dual dynamics with damping and scaling for linearly constrained convex optimization problems	2

Non-linear boundary condition for non-ideal electrokinetic equations in porous media	2
Necessary conditions of the occurrence of chaotic vibrations in the wave equations	2
Spreading speed of a lattice time-periodic Lotka–Volterra competition system with bistable nonlinearity	2
Local error estimates and post processing for the Galerkin BEM on polygons	2
Generalized approach for stability numbers of shear-damped Bresse systems with Cattaneo couplings	2
Local and global analyticity for theμ-Novikov equation	2
The Fourier–Bessel method for the inverse scattering problem of cavities	2
Weak solutions to the full MHD system with non-homogeneous boundary conditions	2
Semi-classical solutions for generalized quasilinear Schrödinger equations with nonlocal term and upper critical exponent	1
Modeling and mathematical analysis of root water uptake in the rhizosphere	1
Solvability of certain one-dimensional semilinear hyperbolic systems and hyperbolic Liouville equation	1
Steepest descent method for uncertain multiobjective optimization problems under finite uncertainty set	1
The Cauchy problem and continuation of periodic solutions for a generalized Camassa–Holm equation	1
Coexistence states for a prey-predator model with self-diffusion and predator-taxis	1
A corrector result for an electrostatic model of interdigitated combs	1
Semi-analytic PINN methods for singularly perturbed boundary value problems	1
A general egg-limited and search-limited host–parasitoid model with proportional host refuge	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
Well-posedness, monotonicity, asymptotic translation of the Cauchy problem of delayed reaction–diffusion systems	1
Criteria for finite time blow up for a system of Klein–Gordon equations	1
On some recently derived exact solutions to the Euler equations	1
Multiplicity results for p(x) -biharmonic equations with nonlinear boundary conditions	1
Global solutions to the bipolar non-isentropic Euler-Maxwell system in the Besov framework	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
A singular Adams' inequality with logarithmic weights and applications	1
Optimization of semilinear higher-order delay differential inclusions	1
Sufficient condition based on nearly optimal order RIC for IHT algorithm	1
On the stability of determining a nonlinear coefficient for the third-order nonlinear acoustic equation	1
Global dynamics of two-species reaction–diffusion competition model with Gompertz growth	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
Limiting profile of solutions for sublinear elliptic equations with shrinking self-focusing core	1
On the open sea propagation of two-dimensional rotational water waves generated by a moving bed	1
Homogenization of a nonlinear reaction-diffusion problem in a porous medium with double periodicity	1
The spectrum of the main operator of Rotenberg equation with time-delay	1
Global and blow-up solutions for a heat equation with variable reaction	1
Robust duality for nonconvex uncertain vector optimization via a general scalarization	1
Analysis of a reaction–diffusion dengue model with vector bias on a growing domain	1
On the conditions for the existence of a piecewise smooth solution of the Riemann problem for one class of conservation laws	1
Stabilization of laminated beam with structural damping and a heat conduction of Gurtin–Pipkin's law	1
Convergent estimate results of the Landweber–Kaczmarz iterative algorithm	1
Asymptotic profiles of solutions to the two-dimensional incompressible magneto-micropolar equations	1
Global well-posedness and large-time behavior of solutions to the 3D inviscid magneto-micropolar equations with damping	1
Energy decay for coupled wave-plate system with one Kelvin-Voigt or structural damping	1
Well-posedness and exponential stability for Von Kármán delayed system with infinite memory	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
Connections between finite difference and finite element approximations	1
Asymptotic behaviors for the eigenvalues of the Schrödinger equation	1
New stability result of a partially dissipative viscoelastic Timoshenko system with a wide class of relaxation function	1
A stability result for viscoelastic piezoelectric system with nonlinear feedback	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
Homogenization of quasilinear elliptic problems with interfacial resistance and weak data	1
Optimality conditions and sensitivity analysis in parametric convex minimax programming	1
A note on a modified Hilbert transform	1
A novel method for solving split variational inequality and fixed point problems	1
Delta shock wave for ternary nonlinear chromatography equations as self-similar viscosity limit	1
Well-posedness and exponential stability for the logarithmic Lamé system with a time delay	1
Some qualitative properties for the Kirchhoff total variation flow	1
Convergence results for proximal point algorithm with inertial and correction terms	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
Qualitative properties for some integral systems involving Riesz potentials	1
Pattern formation from homogeneous states for an elliptic system with mixed interactions	1
Radial solutions for a Neumann problem with mean curvature on exterior domain	1
Semilinear parabolic equations in Herz spaces	1
Boundary output tracking for a flexible beam with tip payload and boundary nonlinear disturbance	1
Random potentials for Markov processes	1
A global in time existence and uniqueness result of a multidimensional inverse problem	1
Almost periodic solutions of Boussinesq systems in the whole space	1
Homogenization results for a Landau–Lifshitz–Gilbert equation in composite materials with transmission defects	1
Long-time behavior of solutions to free boundary problems modeling tumor evolution	1
Stability of a kind of periodic welding problems under perturbations	1
Lack of differentiability of semigroups associated to delayed abstract thermoelastic systems	1
Infinitely many solutions for nonlinear fourth-order Schrödinger equations with mixed dispersion	1
Variable exponents anisotropic nonlinear elliptic systems with Lp′→(⋅)-data	1
Long-time dynamics of a problem of strain gradient porous elastic theory with nonlinear damping and source terms	1
Two nonlinear models for stratified flows of the Antarctic Circumpolar Current	1
Convergence results of nonlinear problems based on Tikhonov regularization method	1
On the conjugate gradient subspace pursuit algorithm	1
Decay property of regularity-loss type for the Euler–Cattaneo–Maxwell system	1
Existence, uniqueness and asymptotic behavior of solutions for a nonsmooth producer-grazer system with stoichiometric constraints	1
The heat semigroup associated with the Jacobi–Cherednik operator and its applications	1
Dynamics of periodic fractional discrete NLS in the continuum limit	1
Extragradient methods with dual inertial steps for solving equilibrium problems	1
Gevrey regularity for the Euler–Bernoulli beam equation with localized structural damping	1
Anisotropic elliptic system with variable exponents and degenerate coercivity withLmdata	1
Concentrated solution of Kirchhoff-type equations	1
Existence and non-existence of minimizers for Hardy-Sobolev type inequality with Hardy potentials	1
Non-coercive differential inclusions problems in anisotropic Sobolev spaces with variable exponents	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