Analysis and Mathematical Physics

Article	Citations
Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the $$(3+1)$$-dimensional generalized Kadomtsev–Petviashvili equation	74
Optical solitons and other solutions to Kaup–Newell equation with Jacobi elliptic function expansion method	49
A binary Darboux transformation for multicomponent NLS equations and their reductions	42
Characterizations of the Lorentzian manifolds admitting a type of semi-symmetric metric connection	34
Study on dynamic characteristics of a rotating cylindrical shell with uncertain parameters	24
New subclasses of analytic and bi-univalent functions endowed with coefficient estimate problems	20
New auxiliary equation approach to derive solutions of fractional resonant Schrödinger equation	19
Exact periodic cross-kink wave solutions for the (2+1)-dimensional Korteweg-de Vries equation	19
Characterization of statistical convergence of complex uncertain double sequence	18
Regularity of solutions of elliptic equations in divergence form in modified local generalized Morrey spaces	18
A cardioid domain and starlike functions	17
A note on Fisher information hypocoercive decay for the linear Boltzmann equation	17
Existence of solutions for singular double phase problems via the Nehari manifold method	16
Generalized Kantorovich forms of exponential sampling series	16
The Riemann-Hilbert approach for the focusing Hirota equation with single and double poles	15
Conjugations in $$L^2$$ and their invariants	15
Least-energy nodal solutions of critical Kirchhoff problems with logarithmic nonlinearity	15
Refined Bohr-type inequalities with area measure for bounded analytic functions	15
The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces	14
Boas-type theorems for the q-Bessel Fourier transform	13
Boundedness of Calderón–Zygmund operators on special John–Nirenberg–Campanato and Hardy-type spaces via congruent cubes	13
The spectral theorem for normal operators on a Clifford module	13
Bohr radius for certain classes of close-to-convex harmonic mappings	13
Transcendental entire solutions for several quadratic binomial and trinomial PDEs with constant coefficients	12
Liouvillian integrability of the generalized Duffing oscillators	12

On Hilbert and Riemann problems for generalized analytic functions and applications	11
On fractional Orlicz–Sobolev spaces	11
Dynamical behavior of analytical soliton solutions, bifurcation analysis, and quasi-periodic solution to the (2+1)-dimensional Konopelchenko–Dubrovsky (KD) system	11
Logarithmic Hölder continuous mappings and Beltrami equation	11
Spectral properties of the logarithmic Laplacian	11
A note on almost Ricci solitons	11
Soliton solutions of generalized $$(3+1)$$-dimensional Yu–Toda–Sasa–Fukuyama equation using Lie symmetry analysis	11
Interpolative gap bounds for nonautonomous integrals	11
Localized John–Nirenberg–Campanato spaces	10
Ground state solutions of the non-autonomous Schrödinger–Bopp–Podolsky system	10
Delta shocks and vacuum states for the isentropic magnetogasdynamics equations for Chaplygin gas as pressure and magnetic field vanish	10
Multiple orthogonal polynomials: Pearson equations and Christoffel formulas	9
Extension of isometries from the unit sphere of a rank-2 Cartan factor	9
Korovkin type theorem for Bernstein–Kantorovich operators via power summability method	9
Regularity of Fourier integral operators with amplitudes in general Hörmander classes	9
Systems of simultaneous differential inequalities, inclusions and subordinations in the complex plane	9
The nonlinear Schrödinger equation on the half-line with a Robin boundary condition	8
Double-periodic soliton solutions for the new (2 + 1)-dimensional KdV equation in fluid flows and plasma physics	8
Anisotropic double-phase problems with indefinite potential: multiplicity of solutions	8
On synchronization in Kuramoto models on spheres	8
On boundary confinements for the Coulomb gas	8
Recursion operators in the cotangent covering of the rdDym equation	8
On matrix-valued wave packet frames in $$L^2({\mathbb {R}}^d, {\mathbb {C}}^{s\times r})$$	8
N-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation	8
Inverse spectral problems for Hill-type operators with frozen argument	7
Fractional Choquard-Kirchhoff problems with critical nonlinearity and Hardy potential	7
Riemann–Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation	7
Approximation by exponential sampling type neural network operators	7
Inverse problem solution and spectral data characterization for the matrix Sturm–Liouville operator with singular potential	7
Solving the modified complex short pulse equation of focusing type: a Riemann–Hilbert approach	7
On the behaviour of analytic representation of the generalized Pascal snail	7
The fourth-order Hermitian Toeplitz determinant for convex functions	7
Teichmüller spaces and coefficient problems for univalent holomorphic functions	7
Topological mappings of finite area distortion	7
Spectral data characterization for the Sturm–Liouville operator on the star-shaped graph	7
Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: vanishing limit	7
Cesàro-like operators acting on spaces of analytic functions	7
Finitely bi-Lipschitz homeomorphisms between Finsler manifolds	6
Hausdorff operator and commutator on weighted Morrey–Herz spaces on p-adic fields	6
Local regularity of axisymmetric solutions to the Navier–Stokes equations	6
Fractional multiresolution analysis and associated scaling functions in $$L^{2}({\mathbb {R}})$$	6
Carleson measures and the range of a Cesàro-like operator acting on $$H^\infty $$	6
On a Schrödinger system arizing in nonlinear optics	6
The Funk–Radon transform for hyperplane sections through a common point	6
Polyanalytic boundary value problems for planar domains with harmonic Green function	6
Higher order difference operators and uniqueness of meromorphic functions	6
$$C^*$$-fermi systems and detailed balance	5
Existence of solutions for some systems of integro-differential equations with transport and superdiffusion	5
Lower bounds on the radius of spatial analyticity for the Kawahara equation	5
Threshold condensation to singular support for a Riesz equilibrium problem	5

Variable order fractional integrals in variable generalized Hölder spaces of holomorphic functions	5
Algebraic approach to the Dunkl–Coulomb problem and Dunkl oscillator in arbitrary dimensions	5
On Mellin transforms of solutions of differential equation $$\chi ^{(n)}(x)+\gamma _{n}x\chi (x)=0$$	5
The initial-boundary value problems of the new two-component generalized Sasa–Satsuma equation with a $$4\times 4$$ matrix Lax pair	5
Positive definiteness for 4th order symmetric tensors and applications	5
Inverse resonance scattering for Dirac operators on the half-line	5
Padé approximants on Riemann surfaces and KP tau functions	5
Entire solutions of several quadratic binomial and trinomial partial differential-difference equations in $$ {\mathbb {C}}^2 $$	5
Riesz bases of normalized reproducing kernels in Fock type spaces	5
Characterization of the boundedness of fractional maximal operator and its commutators in Orlicz and generalized Orlicz–Morrey spaces on spaces of homogeneous type	5
Dynamics and synchronization of complex neural networks with boundary coupling	5
Harmonic conjugates on Bergman spaces induced by doubling weights	5
Well-posedness and exponential stability results for a nonlinear Kuramoto-Sivashinsky equation with a boundary time-delay	5
A series expansion for generalized harmonic functions	5
Selected results and open problems on Hardy–Rellich and Poincaré–Friedrichs inequalities	5
Ground state solution for the nonlinear Klein–Gordon equation coupled with Born–Infeld theory with critical exponents	5
Starlike functions associated with the generalized Koebe function	5
Fractional glassy relaxation and convolution modules of distributions	5
Semiclassical spectral analysis of the Bochner–Schrödinger operator on symplectic manifolds of bounded geometry	5
On the number of concentrating solutions of a fractional Schrödinger–Poisson system with doubly critical growth	5
Liouville theorems for nonnegative solutions to static weighted Schrödinger–Hartree–Maxwell type equations with combined nonlinearities	4
A Liouville type theorem for the stationary compressible Navier–Stokes equations	4
Boundedness of multilinear fractional type operators on Hardy spaces with variable exponents	4
Coupled discrete Sawada–Kotera equations and their explicit quasi-periodic solutions	4
$${\mathbb {L}}^p$$-solutions of deterministic and stochastic convective Brinkman–Forchheimer equations	4
Starlikeness of certain non-univalent functions	4
A concept of weak Riesz energy with application to condensers with touching plates	4
Fekete–Szegö problem for Bavrin’s functions and close-to-starlike mappings in $${\mathbb {C}}^{n}$$	4
Solvability of some integro-differential equations with anomalous diffusion and transport	4
On solutions for several systems of complex nonlinear partial differential equations with two variables	4
Successive coefficients of functions in classes defined by subordination	4
Periodic solutions to Navier-Stokes equations on non-compact Einstein manifolds with negative curvature	4
Realizations of Lie algebras on the line and the new group classification of (1+1)-dimensional generalized nonlinear Klein–Gordon equations	4
Well-posedness for Hardy–Hénon parabolic equations with fractional Brownian noise	4
Approximation of discontinuous functions by Kantorovich exponential sampling series	4
Exact solutions and conservation laws of multi Kaup–Boussinesq system with fractional order	4
Fischer–Marsden conjecture on real hypersurfaces in the complex hyperbolic two-plane Grassmannians	4
An interior inverse Sturm–Liouville problem on a time scale	4
Bernstein spaces on Siegel CR manifolds	3
Singular integral operators and a $${\overline{\partial }}$$-problem for $$(\varphi ,\psi )$$-harmonic functions	3
Dispersion for Schrödinger operators on regular trees	3
Complex symmetric weighted composition operators on Bergman spaces and Lebesgue spaces	3
Some Liouville theorems for Hénon type equations in half-space with nonlinear boundary value conditions and finite Morse indices	3
Fast computation of elastic and hydrodynamic potentials using approximate approximations	3
Infinite order $$\Psi $$DOs: composition with entire functions, new Shubin-Sobolev spaces, and index theorem	3
A geometric construction of isospectral magnetic graphs	3
On the Koebe Quarter Theorem for certain polynomials	3
On the role of the point at infinity in Deny’s principle of positivity of mass for Riesz potentials	3
Integrability structures of the generalized Hunter–Saxton equation	3
On spectral asymptotic of quasi-exactly solvable quartic potential	3
Holomorphic functions, relativistic sum, Blaschke products and superoscillations	3
Harmonic cubic homogeneous polynomials such that the norm-squared of the Hessian is a multiple of the Euclidean quadratic form	3
Modified constrained KP hierarchy and bi-Hamiltonian structures	3
A new application of almost increasing sequences to factored infinite series	3
KP integrability of triple Hodge integrals. II. Generalized Kontsevich matrix model	3
A sequence of Appell polynomials and the associated Jakimovski–Leviatan operators	3
Two forms of the discrete equations and the Noether theorems for nonautonomous Birkhoffian systems	3
Nehari manifold and fractional Dirichlet boundary value problem	3
Kowalewski top and complex Lie algebras	3
On semi-exponential Gauss–Weierstrass operators	3
Positive energy representations of Sobolev diffeomorphism groups of the circle	3
Spectral and soliton structures of the Sasa–Satsuma higher-order nonlinear Schrödinger equation	3
Positivity of certain classes of functions related to the Fox H-functions with applications	3
On perturbations of dynamical semigroups defined by covariant completely positive measures on the semi-axis	3
Normalized solutions to fractional mass supercritical NLS systems with Sobolev critical nonlinearities	3
Ground state solutions for a class of elliptic Dirichlet problems involving the p(x)-Laplacian	3
RKH spaces of Brownian type defined by Cesàro–Hardy operators	3
Almost-Hermitian random matrices and bandlimited point processes	3
Positive Liouville theorem and asymptotic behaviour for (p, A)-Laplacian type elliptic equations with Fuchsian potentials in Morrey space	3
On two families of Funk-type transforms	3
Multiple solutions for Robin (p, q)-equations plus an indefinite potential and a reaction concave near the origin	3
Nonexistence for nonlinear hyperbolic inequalities in an annulus	3
Envelope of plurisubharmonic functions in Cegrell’s classes	3
Kinky breather-wave and lump solutions to the (2 + 1)-dimensional Burgers equations	3
Non-commutative integrability, exact solvability and the Hamilton–Jacobi theory	3
Bidiagonal factorization of tetradiagonal matrices and Darboux transformations	3
Weighted integrability of Fourier-Dunkl transforms and generalized Lipschitz classes	3
Fractional supersymmetric quantum mechanics and lacunary Hermite polynomials	3
Functional equations related to Appell polynomials and Heun functions	2
Uniform approximation by multivariate quasi-projection operators	2

A review of some new results in the theory of linear elliptic equations with drift in $$L_{d}$$	2
Singular subelliptic equations and Sobolev inequalities on Carnot groups	2
Effect of density dependence on coinfection dynamics	2
Inner functions in weighted Hardy spaces	2
Avkhadiev–Backer type p-valent conditions for biharmonic functions	2
On the eigenvalues of the Robin Laplacian with a complex parameter	2
A family of non-modular covariant AQFTs	2
Symmetry and monotonicity of positive solutions for a system involving fractional p&q-Laplacian in $${\mathbb {R}}^{n}$$	2
Nonlinear splittings on fibre bundles	2
h-transform of Doob and nonlocal branching processes	2
Phase constants in the Fock–Goncharov quantum cluster varieties	2
Geometric quantization via cotangent models	2
Zalcman functions and similarity between the Mandelbrot set, Julia sets, and the tricorn	2
Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizon	2
Lagrangian extensions of multi-dimensional integrable equations. I. The five-dimensional Martínez Alonso–Shabat equation	2
Existence and multiplicity for fractional p-Kirchhoff problem with competitive nonlinearities and critical growth	2
Jointly convex mappings related to Lieb’s theorem and Minkowski type operator inequalities	2
Estimates for the operators $$V^\alpha (-\Delta +V)^{-\beta }$$ with nonnegative potentials V	2
An upper bound for the number of gravitationally lensed images in a multiplane point-mass ensemble	2
Level sets of potential functions bisecting unbounded quadrilaterals	2
Constructive description of analytic Besov spaces in strictly pseudoconvex domains	2
A different approach for study some fractional evolution equations	2
Semi-classical Jacobi polynomials, Hankel determinants and asymptotics	2
Existence and non-existence results for fractional Kirchhoff Laplacian problems	2
Weighted Bergman spaces induced by doubling weights in the unit ball of $$\mathbb {C}^n$$	2
Logarithmically completely monotonic functions related to the q-gamma function and its applications	2
Boundedness of commutators of $$\theta $$-type Calderón–Zygmund operators on generalized weighted Morrey spaces over RD-spaces	2
Classes of meromorphic harmonic functions and duality principle	2
Countable additivity of Henstock–Dunford integrable functions and Orlicz Space	2
Differential geometry of $${\mathsf {SO}}^*(2n)$$-type structures-integrability	2
Holomorphic solutions and solvability theory for a class of linear complete singular integro-differential equations with convolution by Riemann–Hilbert method	2
Uniqueness theorems for the impulsive Dirac operator with discontinuity	2
Non-variational weakly coupled elliptic systems	2
Boundedness of Calderón–Zygmund operators on ball Campanato-type function spaces	2
Combined effects of logarithmic and superlinear nonlinearities in fractional Laplacian systems	2
P-summability method applied to multivariate (p, q)-Lagrange polynomial operators	2
Spectral data of conformable Sturm–Liouville direct problems	2
Space quasiconformal composition operators with applications to Neumann eigenvalues	2
Spectral stability estimates of Dirichlet divergence form elliptic operators	2
A class of Hausdorff-Zhu operators	2
Heating long pipes	2
Some properties of certain close-to-convex harmonic mappings	2
On Fatou’s theorem	2
The dispersionless Veselov–Novikov equation: symmetries, exact solutions, and conservation laws	2
Characterizations for the fractional maximal operator and its commutators in generalized weighted Morrey spaces on Carnot groups	2
Riemann–Hilbert approach and long-time asymptotics for the three-component derivative nonlinear Schrödinger equation	2
Perturbed Bernstein-type operators	2
The Cheeger cut and Cheeger problem in metric graphs	2
Critical Kirchhoff $$ p(\cdot ) \& q(\cdot )$$-fractional variable-order systems with variable exponent growth	2
$$L^1$$ convergence of Fourier transforms	2
Lightlike manifolds and Cartan geometries	2
Eigenvalues of Witten-Laplacian on the cigar metric measure spaces	2
A unified construction of product formulas and convolutions for Sturm–Liouville operators	2
Octonion Offset Linear Canonical Transform	2
Casimir pistons with generalized boundary conditions: a step forward	2
Coercive inequalities in higher-dimensional anisotropic heisenberg group	2
Modified inertial projection and contraction algorithms for solving variational inequality problems with non-Lipschitz continuous operators	2
Evaluation of nonterminating $$_3F_2(\frac{1}{4})$$-series perturbed by three integer parameters	2
Domains with algebraic X-ray transform	1
On the recovery of a time dependent diffusion coefficient for a space fractional diffusion equation	1
Liouville’s theorem for generalized harmonic function	1
Extensions on two-component BKP and D type Drinfeld–Sokolov hierarchies	1
A regularity criterion for three-dimensional micropolar fluid equations in Besov spaces of negative regular indices	1
Multiplicity of semiclassical solutions for fractional Choquard equations with critical growth	1
Ruminations on Hejhal’s theorem about the Bergman and Szegő kernels	1
New multipliers of the barotropic vorticity equations	1
Nonlinear Schrödinger equation with nonzero boundary conditions revisited: Dbar approach	1
Bounded weak solutions to superlinear Dirichlet double phase problems	1
New blow-up criterion for the Degasperis–Procesi equation with weak dissipation	1
Existence, uniqueness, and relaxation results in initial value type problems for nonlinear fractional differential equations	1
A de Rham decomposition type theorem for contact sub-Riemannian manifolds	1
Torrential forced KdV equation: soliton solutions over a hole	1
On an extension of Nunokawa’s lemma	1
A note on the avoidance criterion for normal functions	1
On uniqueness of a meromorphic function and its higher difference operators sharing two sets	1
On the Lie Algebra of polarizable Carnot groups	1
Determinant for positive operators and operator geometric means	1
On the existence of solutions of semi-hyperbolic patches to two-dimensional Euler equations for a class of pressure laws	1
On Riemann problems for monogenic functions in lower dimensional non-commutative Clifford algebras	1
Positive ground state solutions for the Chern–Simons–Schrödinger system	1
Riemann theta function solutions to the coupled long wave–short wave resonance equations	1
The complex Hamiltonian system in the Gerdjikov-Ivanov equation and its applications	1
Equidistribution of zeros of some polynomials related to cyclic functions	1
Static perfect fluid spacetimes on GRW spacetimes	1
Perturbed eigenvalue problems for the Robin p-Laplacian plus an indefinite potential	1
Fischer decompositions for entire functions and the Dirichlet problem for parabolas	1
Representation of symmetry transformations on the sets of tripotents of spin and Cartan factors	1
The Cauchy problem for nonlocal abstract Schrödinger equations and applications	1
Variations of real and imaginary parts of eigenvalues of compact operators under perturbations	1
Classification of initial energy in a pseudo-parabolic equation with variable exponents	1
Existence of solutions for a class of heat equations involving the mean curvature operator	1
Boundedness of the fractional Hardy-Littlewood maximal operator on weighted Morrey spaces	1
Symmetric and strongly symmetric homeomorphisms on the real line with non-symmetric inversion	1
Introduction to coherent quantization	1
The scientific work of Vladimir Maz’ya	1