Applicable Analysis

Article	Citations
On solvability in the small and Schauder-type estimates for higher order elliptic equations in grand Sobolev spaces (nonseparable case)	41
Existence of a weak solution to a generalized Riemann-type hydrodynamical equation	36
Uniform convergence of the LDG method for singularly perturbed problems	27
Reciprocity gap functional for potentials/sources with small-volume support for two elliptic equations	22
Periodic solutions of a fractional Schrödinger equation	22
Inertial subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces	20
Analysis of a delayed spatiotemporal model of HBV infection with logistic growth	16
On an optimal control problem describing lactate production inhibition	15
Blow-up phenomenon for a semilinear pseudo-parabolic equation involving variable source	12
Gaps in the spectrum of two-dimensional square packing of stiff disks	12
Inertial self-adaptive parallel extragradient-type method for common solution of variational inequality problems	12
Space-time fractional diffusion equation associated with Jacobi expansions	12
Uniform attractors for 3D MHD equations with nonlinear damping	11
Synchronization phenomena in thermoelastic waves connected in parallel	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	10
Shock wave interactions for a rate-type material model	10
Global well-posedness and large time behavior for the 3D magneto-micropolar equations	10
A novel two-point gradient method for regularization of inverse problems in Banach spaces	9
On new refinement of the Jensen inequality using uniformly convex functions with applications	9
A resolvent criterion approach to strong decay of a multilayered Lamé-heat system	8
Long wavelength limit of the KP-type equation for the ion dynamics system	8
Orbital stability of solitary wave for the Zakharov equation with cubic-quintic nonlinearity	8
The shearlet transform and asymptotic behavior of Lizorkin distributions	8
Dipolar Komatu–Loewner differential equation	8

Inversion of the exponential X-ray transform of symmetric 2-tensors	8
Infinitely many high energy solutions for nonlocal fourth-order equation with sigh-changing potential	7
Existence of solutions for a class of quasilinear equations with vanishing potentials	7
Uniform convergence of the one-dimensional cubic Schrödinger equation	7
Smooth traveling waves for doubly nonlinear degenerate diffusion equations with time delay	7
Solution properties of convex sweeping processes with velocity constraints	7
Propagation of transient acoustic waves in a cancellous bone revisited	7
Fourth-order nonlinear Schrödinger equations in an exterior domain	7
Orbital stability of periodic peakons for a generalized Camassa–Holm equation	7
Degenerate parabolic equations with partial boundary value conditions	7
A Neumann problem for the polyanalytic operator in planar domains with harmonic Green function	7
The local characterizations of the singularity formation for the MHD equations	6
On a problem for the nonlinear diffusion equation with conformable time derivative	6
Existence and stability of weakly Pareto-Nash equilibria for discontinuous multiobjective games	6
Stabilization of a thermoelastic diffusion system of type II damped and delayed	6
On the fractional P – Q laplace operator with weights	6
Global Lipschitz stability for an inverse source problem for the Navier–Stokes equations	6
On concentration of solutions for quasilinear Schrödinger equations with critical growth in the plane	6
The backward problem of a stochastic PDE with bi-harmonic operator driven by fractional Brownian motion	6
Heisenberg–Pauli–Weyl uncertainty principle for ambiguity function	6
Blowup property of solutions in the parabolic equation with p-Laplacian operator and multi-nonlinearities	6
Uniqueness and generic regularity of global weak conservative solutions to the Constantin-Lannes equation	6
On the propagation of acoustic waves in a thermo-electro-magneto-elastic solid	6
Periodic solutions for feedback control coupled systems on networks	6
Hilbert expansion of Boltzmann equations for gas mixture	6
Multiplicity of solutions for Kirchhoff type equations with critical growth in ℝ N	6
Remarks on the inverse problem for an energy-dependent hamiltonian	5
Non-degeneracy of single-peak solutions to a Kirchhoff equation	5
The perturbed Riemann problem for the Chaplygin pressure Aw–Rascle model with Coulomb-like friction	5
Asymptotic analysis for non-local problems in composites with different imperfect contact conditions	5
On limit connection between two problems of complex heat exchange	5
Discrete-time state observations control to synchronization of hybrid-impulses complex-valued multi-links coupled systems	5
Semilinear elliptic problems via the nonlinear Rayleigh quotient with two nonlocal nonlinearities	5
Limiting dynamics of stochastic heat equations with memory on thin domains	5
Large-time behavior of solutions to the time-dependent damped bipolar Euler-Poisson system	5
An inverse source problem for linearly anisotropic radiative sources in absorbing and scattering medium	5
Attractors of Ginzburg–Landau equations with oscillating terms in porous media: homogenization procedure	5
Uniqueness of non-negative solutions to an integral equation of the Choquard type	5
On initial-boundary value problem for the Burgers equation in nonlinearly degenerating domain	5
The first 50 years for applicable analysis	5
Derivation of Stokes-plate-equations modeling fluid flow interaction with thin porous elastic layers	5
Turing instabilities in a glycolysis reaction-diffusion system	5
Strong convergence of the forward–backward splitting algorithms via linesearches in Hilbert spaces	5
Normalized solutions to the Sobolev critical Kirchhoff-type equation with non-trapping potential	5
A study on a class of weighted elliptic problems with indefinite nonlinearities	5
A stochastic primal-dual splitting algorithm with variance reduction for composite optimization problems	4
Optimal convergence rate to nonlinear diffusion waves for bipolar Euler–Poisson equations with critical overdamping	4
Existence results for a nonlinear neutron transport equation with elastic and inelastic collision operators in L p	4
Fully decoupled, linear and unconditional stability implicit/explicit scheme for the natural convection problem	4
Asymptotic stability for stochastic elastic systems with damping	4

Positive and sign-changing solutions for nonlinear equations with rapid growing weights	4
An inverse problem for the system modeling nonhomogeneous asymmetric fluids	4
Inversion formula for the windowed linear canonical transform	4
On the space-time analyticity of the inhomogeneous heat equation on the half space with Neumann boundary conditions	4
Attractors for partially damped systems of binary mixtures of solids	4
Focusing intercritical NLS with inverse-square potential	4
Nonexistence of global solutions for a Euler–Poisson–Darboux–Tricomi equation with combined nonlinearity	4
A homogenization approach to the effect of surfactant concentration and interfacial slip on the flow past viscous drops	4
Qualitative analysis of a stock-effort parabolic model incorporating marine reserve	4
Well-posedness and exponential stability of coupled non-degenerate Kirchhoff and heat equations	4
The multidimensional coagulation and collisional breakage equation with unbounded kernel	4
Bilinear boundary optimal control with final observation for the heat equation	4
Estimates on blow-up time of a parabolic system with nonlinear boundary flux	4
On the univalence of certain polyharmonic mappings under differential operator	4
Optimal control for a fully parabolic singular chemotaxis model with indirect signal consumption in two space dimensions	4
Blow-up time analysis of parabolic equations with variable nonlinearities	4
Finite-time blow-up on a volume-filling attraction–repulsion system	4
Biparametric identification for a free boundary of ductal carcinoma in situ	3
Multiplicity results for a system involving the p(x)- Laplacian operator	3
Spreading speed of a lattice time-periodic Lotka–Volterra competition system with bistable nonlinearity	3
On an incompressible inertial nematic electrolyte model of liquid crystal flow	3
Mathematical model of cancer with radiotherapy and chemotherapy treatments	3
Fibonacci and Lucas Riordan arrays and construction of pseudo-involutions	3
High-frequency homogenization of multidimensional hyperbolic equations	3
A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term	3
Constant sign and nodal solutions for singular Gierer–Meinhardt-type system	3
H 2 -solutions for an Ostrosky–Hunter type equation	3
The Fourier–Bessel method for the inverse scattering problem of cavities	3
Superconvergence analysis for nonlinear viscoelastic wave equation with strong damping	3
Semiconductor full quantum hydrodynamic model with non-flat doping profile: (II) semi-classical limit	3
Upscaling a Navier-Stokes-Cahn-Hilliard model for two-phase porous-media flow with solute-dependent surface tension effects	3
Fast computation of the multidimensional fractional Laplacian	3
The existence of continuous weak solutions with compact support for degenerate parabolic systems with exchange-type source	3
Identification of a boundary influx condition in a one-phase Stefan problem	3
A novel outlook to the mKdV equation using the advantages of a mixed method	3
Integral type Cauchy problem for abstract wave equations and applications	3
Efficient numerical pricing of American options based on multiple shooting method: a PDE approach	3
A Nekhoroshev-type theorem for the nonlinear Schrödinger equations on the d -dimensional torus	3
An open mapping theorem for nonlinear operator equations associated with elliptic complexes	3
Synchronization of Kuramoto oscillators with the distributed time-delays and inertia effect	3
On an inhomogeneous slip-inflow boundary value problem for a steady viscous compressible channel flow	3
Generalized approach for stability numbers of shear-damped Bresse systems with Cattaneo couplings	3
Quasi-periodic solutions for a class of wave equation system	3
Qualitative behavior of solutions for a chemotaxis-haptotaxis system with gradient-dependent flux-limitation	3
New results concerning a singular biharmonic equations with p -Laplacian and Hardy potential	3
Constant vorticity equatorial flows beneath surface solitary waves with centripetal forces	3
Delta-shock waves and Riemann solutions to the generalized pressureless Euler equations with a composite source term	3
Null controllability of some stochastic complex parabolic equations with singular potentials	3
Resonance frequencies of arbitrarily shaped dielectric cylinders	3
Homogenization of a mixed boundary condition	3
Asymptotic behavior of solutions of some stochastic integro-differential equations with infinite delay	2
Uniqueness and stabilized algorithm for an inverse problem of identifying space-time dependent diffusion coefficients	2
Reducible–KAM torus for two dimensional completely resonant reversible quintic Schrödinger systems	2
Constant vorticity two-layer flows over variable bottom at arbitrary latitude	2
Implicit fractional sweeping process with application to unilateral contact problem	2
Recovering density for the Mindlin–Timoshenko system by means of a single boundary measurement	2
Global well-posedness of fourth-order Petrovsky equation with weak and strong damping terms	2
Probabilistic global well-posedness for a viscous nonlinear wave equation modeling fluid–structure interaction	2
Local and global analyticity for theμ-Novikov equation	2
Pattern formation from homogeneous states for an elliptic system with mixed interactions	2
Exponential decay and blow-up results for a viscoelastic equation with variable sources	2
Global and blow-up solutions for a heat equation with variable reaction	2
Flocking under hierarchical leadership with symmetrical and asymmetrical delays	2
Monotone iterative technique for delay elastic systems in ordered Banach space	2
Uniform stability of a semilinear coupled Timoshenko beam and an elastodynamic system in an inhomogeneous medium	2
Long-time behaviour of the solution to the Cauchy problem for degenerate parabolic equations with nonpower nonlinearities	2
Strongly convergent inertial extragradient type methods for equilibrium problems	2
Domain truncation methods for the wave equation in a homogenization limit	2
Refined criteria toward boundedness in an attraction–repulsion chemotaxis system with nonlinear productions	2
The fractional p(.,.)-Neumann boundary conditions for the nonlocal p(.,.)-Laplacian operator	2
On some singular problems involving the fractionalp(x,.) -Laplace operator	2
Inertial primal-dual dynamics with damping and scaling for linearly constrained convex optimization problems	2
On the Cauchy problem for the two-component Novikov system with peakons	2
On the absence of global weak solutions for a nonlinear time-fractional Schrödinger equation	2
Non-linear boundary condition for non-ideal electrokinetic equations in porous media	2
Ground states for fractional Schrödinger equations involving critical or supercritical exponent	2
Pseudo-almost periodic C0 solutions to the evolution equations with nonlocal initial conditions	2
Special affine multiresolution analysis and the construction of orthonormal wavelets in L2(ℝ)	2
Energy decay for coupled wave-plate system with one Kelvin-Voigt or structural damping	2
Inertial proximal point algorithm for variational inclusion in Hadamard manifolds	2

Semi-analytic PINN methods for singularly perturbed boundary value problems	2
Viscoelasticity versus nonlinear feedback in plate systems: optimal decay	2
Well-posedness and finite element approximation for the Landau–Lifshitz–Gilbert equation with spin torques	2
Multiplicity of solutions for a non-local problem with indefinite weights	2
The Cauchy problem and continuation of periodic solutions for a generalized Camassa–Holm equation	2
Estimates for coderivative of solution map in bilevel program	2
A stability result for viscoelastic piezoelectric system with nonlinear feedback	2
Multi-valued variational inequalities in unbounded domains: existence, comparison and extremal solutions	2
Singular solutions to the Riemann problem for the pressureless Euler equations with discontinuous source term	2
Pressure behavior and wave height estimates for steady periodic equatorial water waves	2
Multiple tsunami waves of the fractional geophysical KdV equation	2
The asymptotic behavior of Riemann solutions for the Aw-Rascle-Zhang traffic flow model with the polytropic and logarithmic combined pressure term	2
New stability result for bresse system with dual-phase-lag thermoelasticity	2
Variational inequalities governed by strongly pseudomonotone vector fields on Hadamard manifolds	2
Blow-up of a quasi-linear pseudo-parabolic equation with critical initial energy	2
A partially degenerate reaction–diffusion cholera model with temporal and spatial heterogeneity	2
A multi level linearized Crank–Nicolson scheme for Richards equation under variable flux boundary conditions	2
Existence and regularity of global solutions to a Cauchy problem for a square phase-field crystal model	2
New concentrated solutions for the nonlinear Schrödinger–Newton system	2
Relative Morse index and multiple homoclinic orbits for a nonperiodic Hamiltonian system	2
The local well-posedness for the dispersion generalized Camassa–Holm equation	2
Local error estimates and post processing for the Galerkin BEM on polygons	2
Traveling waves for a nonlocal dispersal SIR model with renewal and spatio-temporal delay	2
Weak solutions to the full MHD system with non-homogeneous boundary conditions	2
Spectral stability of periodic traveling wave solutions for a double dispersion equation	2
Effect of the Coriolis force on bounded traveling waves of the rotation-two-component Camassa–Holm system	2
Random potentials for Markov processes	2
Singular p(x) -Laplacian equation with application to boundary layer theory	2
Blow-up of positive solutions for the semilinear heat equation with a potential	2
Global smooth solutions to the 3D generalized Hall-magnetohydrodynamic equations with large data	2
Riemann problem of (λ,k) bi-analytic functions	2
Limiting profile of solutions for sublinear elliptic equations with shrinking self-focusing core	2
On some recently derived exact solutions to the Euler equations	1
A direct method for reconstructing inclusions and boundary conditions from electrostatic data	1
Connections between finite difference and finite element approximations	1
Existence and uniqueness of solutions to impulsive fractional differential equations via the deformable derivative	1
Variable exponents anisotropic nonlinear elliptic systems with Lp′→(⋅)-data	1
Concentrated solution of Kirchhoff-type equations	1
Orbital stability of the sum of N peakons for the mCH-Novikov equation	1
Stabilization of laminated beam with structural damping and a heat conduction of Gurtin–Pipkin's law	1
Existence and multiplicity of solutions for some Steklov problem involving (p1(x), p2(x))-Laplacian operator	1
Error bound analysis for split weak vector mixed quasi-variational inequality problems in fuzzy environment	1
Long-time behavior of solutions to free boundary problems modeling tumor evolution	1
Phase portraits of an SIR epidemic model	1
Viscosity solutions for doubly nonlinear evolution equations	1
Dispersive estimates for kinetic transport equation in Besov spaces	1
Semilinear parabolic equations in Herz spaces	1
On the open sea propagation of two-dimensional rotational water waves generated by a moving bed	1
Homogenization results for a Landau–Lifshitz–Gilbert equation in composite materials with transmission defects	1
A Kummer-type transformation for some k-hypergeometric functions	1
Kinetic equation for spatially averaged molecular dynamics	1
Qualitative properties for some integral systems involving Riesz potentials	1
Solvability of certain one-dimensional semilinear hyperbolic systems and hyperbolic Liouville equation	1
Global dynamics of two-species reaction–diffusion competition model with Gompertz growth	1
A global in time existence and uniqueness result of a multidimensional inverse problem	1
Global well-posedness and scattering for the coupled NLS in critical spaces	1
Lack of differentiability of semigroups associated to delayed abstract thermoelastic systems	1
Well-posedness, monotonicity, asymptotic translation of the Cauchy problem of delayed reaction–diffusion systems	1
A general stability result for swelling porous elastic media with nonlinear damping	1
Navier–Stokes–Fourier system with Dirichlet boundary conditions	1
A proximal iterative algorithm for system of generalized nonlinear variational-like inequalities and fixed point problems	1
Existence, uniqueness and asymptotic behavior of solutions for a nonsmooth producer-grazer system with stoichiometric constraints	1
A note on a modified Hilbert transform	1
Dirichlet-type problems for n-Poisson equation in Clifford analysis	1
Energy scattering of a modified Davey–Stewartson system in three dimensions	1
Unique local weak solutions of the non-resistive MHD equations in homogeneous Besov space	1
Complicate bifurcation behaviors of a discrete predator–prey model with group defense and nonlinear harvesting in prey	1
Lifespan estimates for local solutions to the semilinear wave equation in Einstein–de Sitter spacetime	1
Existence and non-existence of minimizers for Hardy-Sobolev type inequality with Hardy potentials	1
Well-posedness and exponential stability for Von Kármán delayed system with infinite memory	1
Discretization error estimates for discontinuous Galerkin isogeometric analysis	1
Robust duality for nonconvex uncertain vector optimization via a general scalarization	1
Well-posedness and exponential stability for the logarithmic Lamé system with a time delay	1
Convergence results of nonlinear problems based on Tikhonov regularization method	1
Normalized solutions to the fractional Kirchhoff equations with a perturbation	1
Global solutions to the bipolar non-isentropic Euler-Maxwell system in the Besov framework	1
Boundary output tracking for a flexible beam with tip payload and boundary nonlinear disturbance	1
Approximation of eigenvalues and eigenfunctions of the diffusion operator in a domain containing thin tubes by asymptotic domain decomposition method	1
Asymptotic profiles of solutions to the two-dimensional incompressible magneto-micropolar equations	1
A general egg-limited and search-limited host–parasitoid model with proportional host refuge	1
Extragradient methods with dual inertial steps for solving equilibrium problems	1
Eccentric penny-shaped crack in a long circular cylinder	1
A corrector result for an electrostatic model of interdigitated combs	1
Global well-posedness and large-time behavior of solutions to the 3D inviscid magneto-micropolar equations with damping	1
Asymptotic expansion of transmission eigenvalues for anisotropic thin layers	1
Inverse parabolic problem with the Heaviside function arising in finance	1
An efficient computational approach for solving two-dimensional extended Fisher–Kolmogorov equation	1
A blow-up result for a nonlinear wave equation on manifolds: the critical case	1
Coexistence states for a prey-predator model with self-diffusion and predator-taxis	1
On nonlinear impulsive differential systems with canonical and non-canonical operators	1
Steepest descent method for uncertain multiobjective optimization problems under finite uncertainty set	1
New stability result of a partially dissipative viscoelastic Timoshenko system with a wide class of relaxation function	1
Semi-classical solutions for generalized quasilinear Schrödinger equations with nonlocal term and upper critical exponent	1
Radial solutions for a Neumann problem with mean curvature on exterior domain	1
Analysis of a reaction–diffusion dengue model with vector bias on a growing domain	1