Applicable Analysis

Article	Citations
On solvability in the small and Schauder-type estimates for higher order elliptic equations in grand Sobolev spaces (nonseparable case)	44
Existence of a weak solution to a generalized Riemann-type hydrodynamical equation	38
Uniform convergence of the LDG method for singularly perturbed problems	28
Periodic solutions of a fractional Schrödinger equation	23
Inertial subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces	22
Analysis of a delayed spatiotemporal model of HBV infection with logistic growth	21
On an optimal control problem describing lactate production inhibition	18
Gaps in the spectrum of two-dimensional square packing of stiff disks	17
Uniform attractors for 3D MHD equations with nonlinear damping	13
Space-time fractional diffusion equation associated with Jacobi expansions	13
Shock wave interactions for a rate-type material model	12
Synchronization phenomena in thermoelastic waves connected in parallel	12
Inertial self-adaptive parallel extragradient-type method for common solution of variational inequality problems	12
Global well-posedness and large time behavior for the 3D magneto-micropolar equations	12
Blow-up phenomenon for a semilinear pseudo-parabolic equation involving variable source	11
Reciprocity gap functional for potentials/sources with small-volume support for two elliptic equations	11
Hamiltonian systems with several space variables: dressing, explicit solutions and energy relations	10
A novel two-point gradient method for regularization of inverse problems in Banach spaces	10
On new refinement of the Jensen inequality using uniformly convex functions with applications	10
Inversion of the exponential X-ray transform of symmetric 2-tensors	9
Dipolar Komatu–Loewner differential equation	9
A resolvent criterion approach to strong decay of a multilayered Lamé-heat system	9
The shearlet transform and asymptotic behavior of Lizorkin distributions	9
Smooth traveling waves for doubly nonlinear degenerate diffusion equations with time delay	8
Infinitely many high energy solutions for nonlocal fourth-order equation with sigh-changing potential	8

Solution properties of convex sweeping processes with velocity constraints	8
Fourth-order nonlinear Schrödinger equations in an exterior domain	8
Orbital stability of solitary wave for the Zakharov equation with cubic-quintic nonlinearity	7
Uniform convergence of the one-dimensional cubic Schrödinger equation	7
On the propagation of acoustic waves in a thermo-electro-magneto-elastic solid	7
Long wavelength limit of the KP-type equation for the ion dynamics system	7
Ground state solutions for weighted biharmonic Kirchhoff problem via the Nehari manifold approach	7
The perturbed Riemann problem for the Chaplygin pressure Aw–Rascle model with Coulomb-like friction	7
Propagation of transient acoustic waves in a cancellous bone revisited	7
General decay of the Cauchy problem for α -evolution models with β -memory term	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
Existence of solutions for a class of quasilinear equations with vanishing potentials	7
The local characterizations of the singularity formation for the MHD equations	6
Existence and stability of weakly Pareto-Nash equilibria for discontinuous multiobjective games	6
Derivation of Stokes-plate-equations modeling fluid flow interaction with thin porous elastic layers	6
On the fractional P – Q laplace operator with weights	6
An inverse source problem for linearly anisotropic radiative sources in absorbing and scattering medium	6
The backward problem of a stochastic PDE with bi-harmonic operator driven by fractional Brownian motion	6
Uniqueness and generic regularity of global weak conservative solutions to the Constantin-Lannes equation	6
Blowup property of solutions in the parabolic equation with p-Laplacian operator and multi-nonlinearities	6
Heisenberg–Pauli–Weyl uncertainty principle for ambiguity function	6
Large-time behavior of solutions to the time-dependent damped bipolar Euler-Poisson system	6
Stabilization of a thermoelastic diffusion system of type II damped and delayed	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
Hilbert expansion of Boltzmann equations for gas mixture	6
Multiplicity of solutions for Kirchhoff type equations with critical growth in ℝ N	6
On limit connection between two problems of complex heat exchange	6
Non-degeneracy of single-peak solutions to a Kirchhoff equation	5
Uniqueness of non-negative solutions to an integral equation of the Choquard type	5
A study on a class of weighted elliptic problems with indefinite nonlinearities	5
Remarks on the inverse problem for an energy-dependent hamiltonian	5
On initial-boundary value problem for the Burgers equation in nonlinearly degenerating domain	5
Asymptotic analysis for non-local problems in composites with different imperfect contact conditions	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
Semilinear elliptic problems via the nonlinear Rayleigh quotient with two nonlocal nonlinearities	5
A stochastic primal-dual splitting algorithm with variance reduction for composite optimization problems	5
On the Cauchy problem of the MGT-viscoelastic plate with heat conduction of Fourier law	5
Attractors of Ginzburg–Landau equations with oscillating terms in porous media: homogenization procedure	5
Limiting dynamics of stochastic heat equations with memory on thin domains	5
Discrete-time state observations control to synchronization of hybrid-impulses complex-valued multi-links coupled systems	5
The first 50 years for applicable analysis	5
An inverse problem for the system modeling nonhomogeneous asymmetric fluids	5
Turing instabilities in a glycolysis reaction-diffusion system	5
Finite-time blow-up on a volume-filling attraction–repulsion system	4
Bilinear boundary optimal control with final observation for the heat equation	4
A homogenization approach to the effect of surfactant concentration and interfacial slip on the flow past viscous drops	4
A Nekhoroshev-type theorem for the nonlinear Schrödinger equations on the d -dimensional torus	4

Existence results for a nonlinear neutron transport equation with elastic and inelastic collision operators in L p	4
Null controllability of some stochastic complex parabolic equations with singular potentials	4
Estimates on blow-up time of a parabolic system with nonlinear boundary flux	4
Well-posedness and exponential stability of coupled non-degenerate Kirchhoff and heat equations	4
Qualitative analysis of a stock-effort parabolic model incorporating marine reserve	4
Optimal control for a fully parabolic singular chemotaxis model with indirect signal consumption in two space dimensions	4
On the univalence of certain polyharmonic mappings under differential operator	4
Fully decoupled, linear and unconditional stability implicit/explicit scheme for the natural convection problem	4
Optimal convergence rate to nonlinear diffusion waves for bipolar Euler–Poisson equations with critical overdamping	4
Positive and sign-changing solutions for nonlinear equations with rapid growing weights	4
The multidimensional coagulation and collisional breakage equation with unbounded kernel	4
On the space-time analyticity of the inhomogeneous heat equation on the half space with Neumann boundary conditions	4
Asymptotic stability for stochastic elastic systems with damping	4
Attractors for partially damped systems of binary mixtures of solids	4
Focusing intercritical NLS with inverse-square potential	4
Inversion formula for the windowed linear canonical transform	4
Delta-shock waves and Riemann solutions to the generalized pressureless Euler equations with a composite source term	3
Nonexistence of global solutions for a Euler–Poisson–Darboux–Tricomi equation with combined nonlinearity	3
The existence of continuous weak solutions with compact support for degenerate parabolic systems with exchange-type source	3
On an incompressible inertial nematic electrolyte model of liquid crystal flow	3
Spreading speed of a lattice time-periodic Lotka–Volterra competition system with bistable nonlinearity	3
Fast computation of the multidimensional fractional Laplacian	3
Integral type Cauchy problem for abstract wave equations and applications	3
Generalized approach for stability numbers of shear-damped Bresse systems with Cattaneo couplings	3
Synchronization of Kuramoto oscillators with the distributed time-delays and inertia effect	3
New results concerning a singular biharmonic equations with p -Laplacian and Hardy potential	3
Energy decay of nonlocal viscoelastic equations with nonlinear damping and polynomial nonlinearity	3
H 2 -solutions for an Ostrosky–Hunter type equation	3
Qualitative behavior of solutions for a chemotaxis-haptotaxis system with gradient-dependent flux-limitation	3
Implicit fractional sweeping process with application to unilateral contact problem	3
Blow-up of a quasi-linear pseudo-parabolic equation with critical initial energy	3
Homogenization of a mixed boundary condition	3
Biparametric identification for a free boundary of ductal carcinoma in situ	3
Upscaling a Navier-Stokes-Cahn-Hilliard model for two-phase porous-media flow with solute-dependent surface tension effects	3
Fibonacci and Lucas Riordan arrays and construction of pseudo-involutions	3
Mathematical model of cancer with radiotherapy and chemotherapy treatments	3
An open mapping theorem for nonlinear operator equations associated with elliptic complexes	3
A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term	3
Efficient numerical pricing of American options based on multiple shooting method: a PDE approach	3
Blow-up time analysis of parabolic equations with variable nonlinearities	3
Constant sign and nodal solutions for singular Gierer–Meinhardt-type system	3
Quasi-periodic solutions for a class of wave equation system	3
Probabilistic global well-posedness for a viscous nonlinear wave equation modeling fluid–structure interaction	3
Semiconductor full quantum hydrodynamic model with non-flat doping profile: (II) semi-classical limit	3
A novel outlook to the mKdV equation using the advantages of a mixed method	3
High-frequency homogenization of multidimensional hyperbolic equations	3
Constant vorticity equatorial flows beneath surface solitary waves with centripetal forces	3
Superconvergence analysis for nonlinear viscoelastic wave equation with strong damping	3
Resonance frequencies of arbitrarily shaped dielectric cylinders	3
The Fourier–Bessel method for the inverse scattering problem of cavities	3
Well-posedness and finite element approximation for the Landau–Lifshitz–Gilbert equation with spin torques	2
Uniform stability of a semilinear coupled Timoshenko beam and an elastodynamic system in an inhomogeneous medium	2
Random potentials for Markov processes	2
Viscoelasticity versus nonlinear feedback in plate systems: optimal decay	2
Local and global analyticity for theμ-Novikov equation	2
On the absence of global weak solutions for a nonlinear time-fractional Schrödinger equation	2
Inertial primal-dual dynamics with damping and scaling for linearly constrained convex optimization problems	2
Singular solutions to the Riemann problem for the pressureless Euler equations with discontinuous source term	2
Constant vorticity two-layer flows over variable bottom at arbitrary latitude	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
Non-linear boundary condition for non-ideal electrokinetic equations in porous media	2
A partially degenerate reaction–diffusion cholera model with temporal and spatial heterogeneity	2
Multiple tsunami waves of the fractional geophysical KdV equation	2
Global well-posedness of fourth-order Petrovsky equation with weak and strong damping terms	2
Reducible–KAM torus for two dimensional completely resonant reversible quintic Schrödinger systems	2
Riemann-Hilbert Problems for biaxial symmetric solutions to iterated Dirac equations with α -weight	2
Uniqueness and stabilized algorithm for an inverse problem of identifying space-time dependent diffusion coefficients	2
The fractional p(.,.)-Neumann boundary conditions for the nonlocal p(.,.)-Laplacian operator	2
Delta shock wave for ternary nonlinear chromatography equations as self-similar viscosity limit	2
Almost periodic solutions of Boussinesq systems in the whole space	2
Semi-analytic PINN methods for singularly perturbed boundary value problems	2
Estimates for coderivative of solution map in bilevel program	2
Spectral stability of periodic traveling wave solutions for a double dispersion equation	2
Global smooth solutions to the 3D generalized Hall-magnetohydrodynamic equations with large data	2
Energy decay for coupled wave-plate system with one Kelvin-Voigt or structural damping	2
Special affine multiresolution analysis and the construction of orthonormal wavelets in L2(ℝ)	2
Flocking under hierarchical leadership with symmetrical and asymmetrical delays	2
Global and blow-up solutions for a heat equation with variable reaction	2
Variational inequalities governed by strongly pseudomonotone vector fields on Hadamard manifolds	2

Relative Morse index and multiple homoclinic orbits for a nonperiodic Hamiltonian system	2
Monotone iterative technique for delay elastic systems in ordered Banach space	2
Local error estimates and post processing for the Galerkin BEM on polygons	2
On the Cauchy problem for the two-component Novikov system with peakons	2
On an inhomogeneous slip-inflow boundary value problem for a steady viscous compressible channel flow	2
Ground states for fractional Schrödinger equations involving critical or supercritical exponent	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
Multiplicity of solutions for a non-local problem with indefinite weights	2
Pressure behavior and wave height estimates for steady periodic equatorial water waves	2
The Cauchy problem and continuation of periodic solutions for a generalized Camassa–Holm equation	2
Anisotropic elliptic system with variable exponents and degenerate coercivity withLmdata	2
Pattern formation from homogeneous states for an elliptic system with mixed interactions	2
The local well-posedness for the dispersion generalized Camassa–Holm equation	2
Inertial proximal point algorithm for variational inclusion in Hadamard manifolds	2
Limiting profile of solutions for sublinear elliptic equations with shrinking self-focusing core	2
Effect of the Coriolis force on bounded traveling waves of the rotation-two-component Camassa–Holm system	2
Pseudo-almost periodic C0 solutions to the evolution equations with nonlocal initial conditions	2
Exponential decay and blow-up results for a viscoelastic equation with variable sources	2
New stability result for bresse system with dual-phase-lag thermoelasticity	2
Blow-up of positive solutions for the semilinear heat equation with a potential	2
Multi-valued variational inequalities in unbounded domains: existence, comparison and extremal solutions	2
Riemann problem of (λ,k) bi-analytic functions	2
Multiplicity results for a system involving the p(x)- Laplacian operator	2
Recovering density for the Mindlin–Timoshenko system by means of a single boundary measurement	2
On some singular problems involving the fractionalp(x,.) -Laplace operator	2
A multi level linearized Crank–Nicolson scheme for Richards equation under variable flux boundary conditions	2
Asymptotic behavior of solutions of some stochastic integro-differential equations with infinite delay	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
Domain truncation methods for the wave equation in a homogenization limit	2
Strongly convergent inertial extragradient type methods for equilibrium problems	2
Modeling and mathematical analysis of root water uptake in the rhizosphere	2
Traveling waves for a nonlocal dispersal SIR model with renewal and spatio-temporal delay	2