Applicable Analysis

Article	Citations
On solvability in the small and Schauder-type estimates for higher order elliptic equations in grand Sobolev spaces (nonseparable case)	45
Existence of a weak solution to a generalized Riemann-type hydrodynamical equation	39
Uniform convergence of the LDG method for singularly perturbed problems	28
Periodic solutions of a fractional Schrödinger equation	24
Inertial subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces	21
On an optimal control problem describing lactate production inhibition	19
Gaps in the spectrum of two-dimensional square packing of stiff disks	16
Analysis of a delayed spatiotemporal model of HBV infection with logistic growth	14
Shock wave interactions for a rate-type material model	14
Uniform attractors for 3D MHD equations with nonlinear damping	13
Global well-posedness and large time behavior for the 3D magneto-micropolar equations	13
Reciprocity gap functional for potentials/sources with small-volume support for two elliptic equations	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
On new refinement of the Jensen inequality using uniformly convex functions with applications	11
Inversion of the exponential X-ray transform of symmetric 2-tensors	11
Hamiltonian systems with several space variables: dressing, explicit solutions and energy relations	11
Fourth-order nonlinear Schrödinger equations in an exterior domain	11
Dipolar Komatu–Loewner differential equation	10
The shearlet transform and asymptotic behavior of Lizorkin distributions	9
Solution properties of convex sweeping processes with velocity constraints	9
Infinitely many high energy solutions for nonlocal fourth-order equation with sigh-changing potential	9
General decay of the Cauchy problem for α -evolution models with β -memory term	8
Non-existence of stationary solutions for a cross-diffusion food web model with cycle	8
Long wavelength limit of the KP-type equation for the ion dynamics system	8

Ground state solutions for weighted biharmonic Kirchhoff problem via the Nehari manifold approach	8
Existence of solutions for a class of quasilinear equations with vanishing potentials	8
Smooth traveling waves for doubly nonlinear degenerate diffusion equations with time delay	8
Orbital stability of solitary wave for the Zakharov equation with cubic-quintic nonlinearity	8
Propagation of transient acoustic waves in a cancellous bone revisited	7
Global Lipschitz stability for an inverse source problem for the Navier–Stokes equations	7
Turing instabilities in a glycolysis reaction-diffusion system	7
Degenerate parabolic equations with partial boundary value conditions	7
The perturbed Riemann problem for the Chaplygin pressure Aw–Rascle model with Coulomb-like friction	7
The local characterizations of the singularity formation for the MHD equations	7
Uniqueness and generic regularity of global weak conservative solutions to the Constantin-Lannes equation	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
On concentration of solutions for quasilinear Schrödinger equations with critical growth in the plane	7
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
Existence and stability of weakly Pareto-Nash equilibria for discontinuous multiobjective games	6
On the Cauchy problem of the MGT-viscoelastic plate with heat conduction of Fourier law	6
Large-time behavior of solutions to the time-dependent damped bipolar Euler-Poisson system	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
Derivation of Stokes-plate-equations modeling fluid flow interaction with thin porous elastic layers	6
Blowup property of solutions in the parabolic equation with p-Laplacian operator and multi-nonlinearities	6
Stabilization of a thermoelastic diffusion system of type II damped and delayed	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
A Neumann problem for the polyanalytic operator in planar domains with harmonic Green function	6
Normalized solutions to the Sobolev critical Kirchhoff-type equation with non-trapping potential	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
Necessary optimality conditions for nonsmooth multiobjective bilevel programs using the Drummond-Svaiter functional	5
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
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
On initial-boundary value problem for the Burgers equation in nonlinearly degenerating domain	4
Well-posedness and exponential stability of coupled non-degenerate Kirchhoff and heat equations	4
A study on a class of weighted elliptic problems with indefinite nonlinearities	4
A homogenization approach to the effect of surfactant concentration and interfacial slip on the flow past viscous drops	4
Optimal convergence rate to nonlinear diffusion waves for bipolar Euler–Poisson equations with critical overdamping	4
On the space-time analyticity of the inhomogeneous heat equation on the half space with Neumann boundary conditions	4
Qualitative analysis of a stock-effort parabolic model incorporating marine reserve	4
The multidimensional coagulation and collisional breakage equation with unbounded kernel	4
Semilinear elliptic problems via the nonlinear Rayleigh quotient with two nonlocal nonlinearities	4
Remarks on the inverse problem for an energy-dependent hamiltonian	4
Positive and sign-changing solutions for nonlinear equations with rapid growing weights	4
Existence results for a nonlinear neutron transport equation with elastic and inelastic collision operators in L p	4
Optimal control for a fully parabolic singular chemotaxis model with indirect signal consumption in two space dimensions	4

A stochastic primal-dual splitting algorithm with variance reduction for composite optimization problems	4
An inverse problem for the system modeling nonhomogeneous asymmetric fluids	4
The first 50 years for applicable analysis	4
Finite-time blow-up on a volume-filling attraction–repulsion system	4
Inversion formula for the windowed linear canonical transform	4
Bilinear boundary optimal control with final observation for the heat equation	4
Focusing intercritical NLS with inverse-square potential	4
Fibonacci and Lucas Riordan arrays and construction of pseudo-involutions	3
Blow-up time analysis of parabolic equations with variable nonlinearities	3
Efficient numerical pricing of American options based on multiple shooting method: a PDE approach	3
Qualitative behavior of solutions for a chemotaxis-haptotaxis system with gradient-dependent flux-limitation	3
Bernstein polynomial for solving third kind VIEs with nonlinear vanishing delays	3
A Nekhoroshev-type theorem for the nonlinear Schrödinger equations on the d -dimensional torus	3
H 2 -solutions for an Ostrosky–Hunter type equation	3
Superconvergence analysis for nonlinear viscoelastic wave equation with strong damping	3
Quasi-periodic solutions for a class of wave equation system	3
Fast computation of the multidimensional fractional Laplacian	3
High-frequency homogenization of multidimensional hyperbolic equations	3
Constant sign and nodal solutions for singular Gierer–Meinhardt-type system	3
On an incompressible inertial nematic electrolyte model of liquid crystal flow	3
Nonexistence of global solutions for a Euler–Poisson–Darboux–Tricomi equation with combined nonlinearity	3
On the univalence of certain polyharmonic mappings under differential operator	3
Upscaling a Navier-Stokes-Cahn-Hilliard model for two-phase porous-media flow with solute-dependent surface tension effects	3
Estimates on blow-up time of a parabolic system with nonlinear boundary flux	3
Attractors for partially damped systems of binary mixtures of solids	3
An open mapping theorem for nonlinear operator equations associated with elliptic complexes	3
Spreading speed of a lattice time-periodic Lotka–Volterra competition system with bistable nonlinearity	3
Synchronization of Kuramoto oscillators with the distributed time-delays and inertia effect	3
On the L 2 -boundedness of semiclassical Fourier integral operators with rough amplitude and phase functions	3
Energy decay of nonlocal viscoelastic equations with nonlinear damping and polynomial nonlinearity	3
Generalized approach for stability numbers of shear-damped Bresse systems with Cattaneo couplings	3
Asymptotic stability for stochastic elastic systems with damping	3
New results concerning a singular biharmonic equations with p -Laplacian and Hardy potential	3
The existence of continuous weak solutions with compact support for degenerate parabolic systems with exchange-type source	3
Null controllability of some stochastic complex parabolic equations with singular potentials	3
Fully decoupled, linear and unconditional stability implicit/explicit scheme for the natural convection problem	3
Resonance frequencies of arbitrarily shaped dielectric cylinders	3
Integral type Cauchy problem for abstract wave equations and applications	3
Homogenization of a mixed boundary condition	3
Properties of minimizers for mass critical Kirchhoff energy functionals in bounded domains	3
The Fourier–Bessel method for the inverse scattering problem of cavities	3
Mathematical model of cancer with radiotherapy and chemotherapy treatments	3
Singular solutions to the Riemann problem for the pressureless Euler equations with discontinuous source term	2
Pattern formation from homogeneous states for an elliptic system with mixed interactions	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
Weak solutions to the full MHD system with non-homogeneous boundary conditions	2
Pseudo-almost periodic C0 solutions to the evolution equations with nonlocal initial conditions	2
Uniqueness and stabilized algorithm for an inverse problem of identifying space-time dependent diffusion coefficients	2
Riemann problem of (λ,k) bi-analytic functions	2
Blow-up of positive solutions for the semilinear heat equation with a potential	2
Refined criteria toward boundedness in an attraction–repulsion chemotaxis system with nonlinear productions	2
Global well-posedness of fourth-order Petrovsky equation with weak and strong damping terms	2
On the Cauchy problem for the two-component Novikov system with peakons	2
Special affine multiresolution analysis and the construction of orthonormal wavelets in L2(ℝ)	2
Existence and regularity of global solutions to a Cauchy problem for a square phase-field crystal model	2
Local error estimates and post processing for the Galerkin BEM on polygons	2
Probabilistic global well-posedness for a viscous nonlinear wave equation modeling fluid–structure interaction	2
New concentrated solutions for the nonlinear Schrödinger–Newton system	2
Variational inequalities governed by strongly pseudomonotone vector fields on Hadamard manifolds	2
The asymptotic behavior of Riemann solutions for the Aw-Rascle-Zhang traffic flow model with the polytropic and logarithmic combined pressure term	2
Monotone iterative technique for delay elastic systems in ordered Banach space	2
Singular p(x) -Laplacian equation with application to boundary layer theory	2
Traveling waves for a nonlocal dispersal SIR model with renewal and spatio-temporal delay	2
Viscoelasticity versus nonlinear feedback in plate systems: optimal decay	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
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
Effect of the Coriolis force on bounded traveling waves of the rotation-two-component Camassa–Holm system	2
Strong waves for epidemic model with time-space delay and multiple infectious stages	2
Limiting profile of solutions for sublinear elliptic equations with shrinking self-focusing core	2
The local well-posedness for the dispersion generalized Camassa–Holm equation	2
Uniform stability of a semilinear coupled Timoshenko beam and an elastodynamic system in an inhomogeneous medium	2
Non-linear boundary condition for non-ideal electrokinetic equations in porous media	2
Exponential decay and blow-up results for a viscoelastic equation with variable sources	2
Asymptotic behavior of solutions of some stochastic integro-differential equations with infinite delay	2
Recovering density for the Mindlin–Timoshenko system by means of a single boundary measurement	2

Biparametric identification for a free boundary of ductal carcinoma in situ	2
A multi level linearized Crank–Nicolson scheme for Richards equation under variable flux boundary conditions	2
Implicit fractional sweeping process with application to unilateral contact problem	2
Reducible–KAM torus for two dimensional completely resonant reversible quintic Schrödinger systems	2
Modeling and mathematical analysis of root water uptake in the rhizosphere	2
Flocking under hierarchical leadership with symmetrical and asymmetrical delays	2
Semi-analytic PINN methods for singularly perturbed boundary value problems	2
Inertial proximal point algorithm for variational inclusion in Hadamard manifolds	2
Random potentials for Markov processes	2
Local and global analyticity for theμ-Novikov equation	2
Domain truncation methods for the wave equation in a homogenization limit	2
Multiplicity of solutions for a non-local problem with indefinite weights	2
New stability result for bresse system with dual-phase-lag thermoelasticity	2
Constant vorticity two-layer flows over variable bottom at arbitrary latitude	2
Multiplicity results for a system involving the p(x)- Laplacian operator	2
On the absence of global weak solutions for a nonlinear time-fractional Schrödinger equation	2
Semiconductor full quantum hydrodynamic model with non-flat doping profile: (II) semi-classical limit	2
Strongly convergent inertial extragradient type methods for equilibrium problems	2
On an inhomogeneous slip-inflow boundary value problem for a steady viscous compressible channel flow	2
Inertial primal-dual dynamics with damping and scaling for linearly constrained convex optimization problems	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
Multiple tsunami waves of the fractional geophysical KdV equation	2
The fractional p(.,.)-Neumann boundary conditions for the nonlocal p(.,.)-Laplacian operator	2
Multi-valued variational inequalities in unbounded domains: existence, comparison and extremal solutions	2