Complex Variables and Elliptic Equations

Papers
(The TQCC of Complex Variables and Elliptic Equations is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-03-01 to 2025-03-01.)
ArticleCitations
On dual transform of fractional Hankel transform17
The size of the set on which an entire function is large15
Integral representations for hyperbolic harmonic function in the clifford algebra Cln+1,012
A regularity result via fractional maximal operators for p-Laplace equations in weighted Lorentz spaces11
Hardy-complementary local Morrey spaces11
Critical fractional p -Kirchhoff type problem with a generalized Choquard nonlinearity and magnetic field9
Arbitrary order Mittag-Leffler function with four parameters: properties and fractional operators8
L -functions and meromorphic functions satisfying the same Riemann-type functional equation and sharing sets8
On Nirenberg's non-embeddable CR structure7
Rayleigh–Faber–Krahn and Hong–Krahn–Szegö-type inequalities for the absolute value of the heat operator7
Solutions of linear differential equations in Bergman–Morrey type spaces7
An inverse problem for an elliptic equation in a spherical domain6
The pointwise limit of holomorphic functions6
Finite zero-based invariant subspaces of the shift operator on reproducing kernel spaces6
Norm estimates for a class of operators related to the Bergman projection6
Sign-changing solitary waves for a quasilinear Schrödinger equation with general nonlinearity6
On Hölder continuity to a function class with nonstandard growth condition5
Singular solutions of a characteristic Goursat problem with discontinuous data5
Cauchy problem in Gevrey spaces5
Existence of positive solutions to nonlinear integral equations on the Heisenberg group5
Green's functions of some boundary value problems for the biharmonic equation5
Bound states for fractional Kirchhoff equations with critical growth5
Toeplitz operators on the Hardy space with generalized pseudo-homogeneous symbols5
Quaternionic slice regular functions with some sphere bundles4
The Cauchy integral formula for ( p , q )-monogenic functions with α -weight in superspace4
Positive solution for a class of Choquard equations with Hardy–Littlewood–Sobolev critical exponent in exterior domains4
Positive solutions to quasilinear p(y )-Laplacian equation with Robin boundary condition4
Polyanalytic Neumann-n problem in the unit disk4
Solutions for a nonlinear equation with competing operators and supercritical exponential growth4
Chirality notions and electromagnetic scattering: a mini review4
Submanifolds of some Hartogs domain and the complex Euclidean space4
Multiplicity of solutions for the stationary quantum Zakharov system with combined nonlinearities4
Landau's theorem for harmonic Bloch functions on simply connected domains4
Embedding model and de Branges-Rovnyak spaces in Dirichlet spaces4
One solution for Steklov problems involving nonstandard growth conditions of Kirchhoff type4
Families of homomorphic mappings in the polydisk3
Existence of solutions for fractional Kirchhoff–Schrödinger–Poisson equations via Morse theory3
The Taylor expansion of weighted monogenic functions3
A lower estimate for weak-type Fourier multipliers3
Existence and nonexistence results of polyharmonic boundary value problems with supercritical growth3
A class of fourth-order problems with Leray–Lion operators and two control parameters3
Indefinite Schrödinger equation with nonlinearity sublinear at zero3
Localization operators associated with the windowed Opdam–Cherednik transform on modulation spaces3
Boundary conjugation problem for piecewise analytic functions in Besov spaces3
Existence of positive solution for the Choquard equation in exterior domain3
Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains3
Lipschitz type characterizations for Bergman-Orlicz spaces of eigenfunctions on hyperbolic space3
Factorization of the Fock–Sobolev space3
Asymptotics of eigenvalues for Toeplitz matrices with rational symbols that have a minimum of the 4th order3
Existence of solutions to some quasilinear degenerate elliptic systems when the datum has an intermediate degree of integrability3
The Bohr-type operator on analytic functions and sections3
Blow-up phenomena for an inhomogeneous p -Laplacian parabolic differential inequality in the half-space3
An inverse scattering problem for eigenparameter-dependent discrete Dirac system with Levinson formula3
Nonlinear Riemann type problems associated to Hermitian Helmholtz equations3
Existence and concentration of positive solutions for a fractional Schrödinger logarithmic equation3
Characterizations of self-adjointness, normality of pseudo-differential operators on homogeneous space of compact groups3
Nonexistence of anti-symmetric solutions for an elliptic system involving fractional Laplacian3
Sign-changing solutions for modified Schrödinger–Poisson system with general nonlinearity3
Intersection properties for singular radial solutions of quasilinear elliptic equations with Hardy type potentials3
Nonexistence of positive solutions to a system of elliptic inequalities involving the Grushin operator3
A generalization of squeezing function3
Existence of solution for magnetic Schrödinger equation with the Neumann boundary condition3
Existence and concentration of ground state solutions for critical Kirchhoff-type equation with steep potential well3
Multiple positive solutions for Kirchhoff-type equations involving critical-concave nonlinearities3
The perturbation method for the skew-symmetric strongly elliptic systems of PDEs3
Existence and multiplicity of solutions for resonant-superlinear problems2
Existence of three weak solutions for fourth-order Leray–Lions problem with indefinite weights2
A sufficient condition for Lp regularity of the Berezin transform2
Systems of simultaneous differential containments and superordinations in the complex plane2
On fractional Choquard–Kirchhoff equations with subcritical or critical nonlinearities2
Instability of algebraic standing waves for nonlinear Schrödinger equations with triple power nonlinearities2
Existence and multiplicity of solutions for m -polyharmonic Kirchhoff problems without Ambrosetti–Rabinowitz conditions2
Complex manifolds of Sobolev mappings and a Hartogs-type theorem in loop spaces2
Monotonicity of solutions for a class of uniformly elliptic nonlocal Bellman systems2
Regularity results for an anisotropic nonlinear Dirichlet problem2
The nonlinear superposition operator on harmonic fock spaces2
Ground states of the inhomogeneous nonlinear fractional Schrödinger-Poisson equations2
Oblique derivative problem in a plane sector for strong quasi-linear elliptic equation with p -Laplacian2
Maximal ideals in a bicomplex algebra and bicomplex Gelfand–Mazur theorem2
Elliptic equations involving supercritical Sobolev growth with mixed Dirichlet-Neumann boundary conditions2
On the total length of Gamma-lines for rational functions2
Patterns with prescribed numbers of critical points on topological tori2
Generalized elementary functions2
A mean value criterion for plurisubharmonic functions2
Surjectivity of the ̄∂-operator between weighted spaces of smooth vector-valued functions2
Existence results for variable-order fractional Kirchhoff equations with variable exponents2
Bohr's phenomenon for certain classes of analytic functions2
The Dirichlet condition for the conformable fractional sub-elliptic equation on the Heisenberg group2
Compressive stress relaxation behavior of articular cartilage with MHD effects2
d-balanced squeezing function2
Nonlinear concave-convex problems with indefinite weight2
Toeplitz operators on Bergman spaces with exponential weights1
Singular elliptic problem with super-quadratic growth in the gradient1
On Bergman-Orlicz and Campanato-Orlicz spaces of hyperbolic harmonic functions on the real unit ball1
Spectral analysis of the impulsive quadratic pencil of Schrödinger operators with spectral singularities1
Existence of ground state solution for semilinear -Laplace equation1
Clark measures and de Branges–Rovnyak spaces in several variables1
Dirichlet boundary value problem for linear polyanalytic equation in upper half plane1
Multiple solutions for the fractional Schrödinger–Poisson system with concave–convex nonlinearities1
Compact embeddings for Sobolev spaces of two variable exponents1
Homogenization and corrector result of optimal control problem for Stokes system1
Differential subordination of certain class of starlike functions1
Mixed local and nonlocal elliptic equation with singular and critical Choquard nonlinearity1
A nonlocal elliptic system with nonlinear singular terms1
p ( x )-biharmonic equations involving Leray–Lions type operators with Hardy potentials1
Liouville-type theorems for a system of fractional Laplacian equations1
Solutions for quasilinear Schrödinger equation on involving indefinite potentials1
Sign-changing solutions for a modified quasilinear Kirchhoff–Schrödinger–Poisson system via perturbation method1
Existence of solutions for anisotropic parabolic Ni-Serrin type equations originated from a capillary phenomena with nonstandard growth nonlinearity1
Finite Lipschitzness of regular solutions to nonlinear Beltrami equation1
Multiplicity of normalized solutions to biharmonic Schrödinger equation with mixed nonlinearities1
Oversampling on a class of symmetric regular de Branges spaces1
On a biharmonic choquard equation involving critical exponential growth1
Embedding and Volterra integral operators from Dirichlet-Morrey spaces into general function spaces1
Mountain pass solution to a perturbated Hardy–Sobolev equation involving p-Laplacian on compact Riemannian manifolds1
The Nehari manifold approach for singular equations involving the p(x)-Laplace operator1
Some uncertainty principles for the continuous voice transform1
On critical nonlinear boundary problems for p-harmonic functions on Riemannian manifolds1
On a class of degenerate quasilinear elliptic equations with zero mass1
Generalized uncertainty principles associated with the quaternionic offset linear canonical transform1
Perturbation analysis in a free boundary problem arising in tumour growth model1
Two-sided fractional Clifford–Fourier transformation1
Symmetry and monotonicity of positive solutions for a system involving fractional p&q-Laplacian in a ball1
Weighted composition operators and differences of composition operators between weighted Bergman spaces1
The weighted reproducing kernels of the Reinhardt domain1
Holomorphic maps from complex discs intersecting hypersurfaces of projective varieties1
Existence and multiplicity of solutions for generalized quasilinear Schrödinger equations1
Nonexistence of solutions to higher order evolution inequalities with nonlocal source term on Riemannian manifolds1
Sign-changing solutions for a weighted Kirchhoff problem with exponential growth non-linearity1
p -harmonic functions with nonlinear Neumann conditions on the sphere and measure data1
Iterated Robin problem, the case of various parameters1
Riemann–Hilbert problem on a torus and a vortex patch in a wedge1
Existence results for an anisotropic variable exponent Kirchhoff-type problem1
Multiple solutions for Kirchhoff–Schrödinger problems of fractional p -Laplacian involving Sobolev–Hardy critical exponent1
Estimating potential functions with applications to elliptic problems in half space1
Growth of meromorphic solution related to linear difference equations and value sharing1
Closed range integral operators on Hardy, BMOA and Besov spaces1
Two remarks on the Poincaré metric on a singular Riemann surface foliation1
Weighted estimates for θ-type Calderón-Zygmund operator and its commutator on metric measure spaces1
On products of inner radii of non-overlapping domains containing certain segment points1
On Fredholm solvability and on the index of the generalized Neumann problem for an elliptic equation1
Multiplicity and concentration results for fractional Kirchhoff equation with magnetic field1
On the generalized Farwig problem for a polyharmonic equation1
Cyclic behaviour of certain operators on the disc algebra1
Pohozaev-type identities for a pseudo-relativistic Schrödinger operator and applications1
Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups1
Second main theorem for holomorphic maps from complex disks with moving hyperplanes1
Product-type operators on Banach spaces of analytic functions on the upper half-plane1
Non-radial weights and polynomial approximation in spaces of analytic functions1
Corona and Wolff theorems for the multiplier algebra of Besov–Morrey spaces1
Trudinger's inequality for Riesz potentials on Musielak-Orlicz spaces over metric measure spaces1
Existence of solutions to Kirchhoff type equations involving the nonlocal p1& … &pm fractional Laplacian with critical Sobolev-Hardy exponent1
A generalized CR equation with isolated singularities1
Runge property and approximation by complete systems of solutions for strongly elliptic equations1
Slice quaternionic analysis in two variables1
A nonvariational form of the Neumann problem for the Poisson equation1
Meromorphic solutions of one certain type of non-linear complex differential equation1
Existence of solutions for singular elliptic equations with mixed boundary conditions1
Conjugacy classification of bicomplex Möbius transformations1
A class of elliptic inclusion in fractional Orlicz–Sobolev spaces1
Positive solution to singular semilinear elliptic problems1
Degenerate elliptic problem with a singular nonlinearity1
Some refinements of the Fekete–Szegö inequalities for a class of biholomorphic mappings1
Invariance and existence analysis of viscoelastic equations with nonlinear damping and source terms on corner singularity1
The central role of Montel's theorem in complex function theory1
0.12072610855103