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
Analysis of a delayed spatiotemporal model of HBV infection with logistic growth	24
Existence of a weak solution to a generalized Riemann-type hydrodynamical equation	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
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
Synchronization phenomena in thermoelastic waves connected in parallel	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
Exploring the nonlocal thermistor problem in the Musielak-Orlicz spaces	10
Shock wave interactions for a rate-type material model	10
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
Long wavelength limit of the KP-type equation for the ion dynamics system	9
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
Infinitely many high energy solutions for nonlocal fourth-order equation with sigh-changing potential	8
Inversion of the exponential X-ray transform of symmetric 2-tensors	8

Fourth-order nonlinear Schrödinger equations in an exterior domain	8
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 new refinement of the Jensen inequality using uniformly convex functions with applications	7
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
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
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
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
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
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
An inverse problem for the system modeling nonhomogeneous asymmetric fluids	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
Asymptotic stability for stochastic elastic systems with damping	3
Quadratic coupled Schrödinger systems with sign-changing potential	3
Blow-up time analysis of parabolic equations with variable nonlinearities	3

On the space-time analyticity of the inhomogeneous heat equation on the half space with Neumann boundary conditions	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
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
Nonexistence of global solutions for a Euler–Poisson–Darboux–Tricomi equation with combined nonlinearity	3
Null controllability of some stochastic complex parabolic equations with singular potentials	3
Attractors for partially damped systems of binary mixtures of solids	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
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
H 2 -solutions for an Ostrosky–Hunter type equation	3
Inversion formula for the windowed linear canonical transform	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
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
Riemann-Hilbert Problems for biaxial symmetric solutions to iterated Dirac equations with α -weight	2
Well-posedness and dynamical properties for a class of plate equation	2
Blow-up of positive solutions for the semilinear heat equation with a potential	2
Nonexistence of global weak solutions for strongly damped p –Laplacian wave equations with logarithmic source terms	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
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
Existence results of singular Toda system with several critical parameters	2
Asymptotically almost periodic solutions of discrete dynamical systems and applications	2
Uniqueness and stabilized algorithm for an inverse problem of identifying space-time dependent diffusion coefficients	2
Quantitative unique continuation property for Baouendi–Grushin type subelliptic operators	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
Radially symmetric solutions of the nonlinear Neumann problem for the prescribed mean curvature equation in standard static spacetime	2
Reducible–KAM torus for two dimensional completely resonant reversible quintic Schrödinger systems	2
New concentrated solutions for the nonlinear Schrödinger–Newton system	2
High-frequency homogenization of multidimensional hyperbolic equations	2
Global unique solutions for 3D inhomogeneous incompressible MHD equations with discontinuous density	2
Constant sign and nodal solutions for singular Gierer–Meinhardt-type system	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
Optimal control of Gao beam contact with double Signorini conditions	2
Necessary conditions of the occurrence of chaotic vibrations in the wave equations	2
New stability result for bresse system with dual-phase-lag thermoelasticity	2
Analysis and computation of a nonlinear variable-exponent Caputo-Hadamard stochastic differential equation	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
Pressure behavior and wave height estimates for steady periodic equatorial water waves	2
On an inhomogeneous slip-inflow boundary value problem for a steady viscous compressible channel flow	2
Global well-posedness of fourth-order Petrovsky equation with weak and strong damping terms	2
Weak solutions for double phase Schrödinger–Kirchhoff problems with Neumann conditions	2
On the absence of global weak solutions for a nonlinear time-fractional Schrödinger equation	2
Synchronization of Kuramoto oscillators with the distributed time-delays and inertia effect	2
Monotone iterative technique for delay elastic systems in ordered Banach space	2
Qualitative behavior of solutions for a chemotaxis-haptotaxis system with gradient-dependent flux-limitation	2
Fibre homogenisation for time-dependent problems	2
Quasi-periodic solutions for a class of wave equation system	2
Asymptotic profile and optimal decay of solutions for the wave equation with rotational inertia and logarithmic-Laplacian term	2

Uniform stability of a semilinear coupled Timoshenko beam and an elastodynamic system in an inhomogeneous medium	2
Finite time stability and relative controllability of fractional oscillation systems with pure delay	2
The local well-posedness for the dispersion generalized Camassa–Holm equation	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