Complex Variables and Elliptic Equations

Papers
(The median citation count of Complex Variables and Elliptic Equations is 0. 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 2022-01-01 to 2026-01-01.)
ArticleCitations
Polyanalytic Neumann-n problem in the unit disk12
Boundary conjugation problem for piecewise analytic functions in Besov spaces12
The pointwise limit of holomorphic functions10
Bound states for fractional Kirchhoff equations with critical growth9
Riesz potentials and fractional maximal operators associated with the index Whittaker transform9
Cauchy problem in Gevrey spaces8
Nonexistence results for Steklov biharmonic problems in exterior domains8
Positive solution for a class of Choquard equations with Hardy–Littlewood–Sobolev critical exponent in exterior domains8
A generalization of squeezing function7
Existence of solutions for fractional Kirchhoff–Schrödinger–Poisson equations via Morse theory7
Solutions of linear differential equations in Bergman–Morrey type spaces7
Sign-changing solitary waves for a quasilinear Schrödinger equation with general nonlinearity7
Blow-up phenomena for an inhomogeneous p -Laplacian parabolic differential inequality in the half-space6
A moment generalization of some classical second-order differential equations generating classical polynomials6
Estimates for the sum of eigenvalues to the fractional logarithmic Schrödinger operator6
Multiple solutions for the fractional Schrödinger–Poisson system with concave–convex nonlinearities6
Arbitrary order Mittag-Leffler function with four parameters: properties and fractional operators6
Quasilinear nonlocal elliptic problems with a prescribed norm in the L p -subcritical and L 5
Some uncertainty principles for the continuous voice transform5
Sign-changing solutions for a weighted Kirchhoff problem with exponential growth non-linearity5
On a biharmonic choquard equation involving critical exponential growth4
The nonlinear superposition operator on harmonic fock spaces4
A necessary and sufficient condition for a TM system to be an unconditional basis4
Toeplitz operators on Bergman spaces with exponential weights4
Regularity results for an anisotropic nonlinear Dirichlet problem4
Multiplicity result for a critical biharmonic elliptic equation with logarithmic-type perturbation4
Green's functions for certain biharmonic boundary-value problems3
Quasiconformal extension of integral transforms of analytic and harmonic mappings3
Fractional p -Kirchhoff equation with Sobolev and Choquard singular nonlinearities3
On Trudinger-type inequalities in Musielak-Orlicz-Morrey spaces of an integral form3
Solutions for nonhomogeneous singular fractional p-Laplacian equations via fixed point theorem3
Existence of solution for a nonlocal elliptic problem with a Robin-type data3
Trudinger's inequality for Riesz potentials on Musielak-Orlicz spaces over metric measure spaces3
Existence and non-existence of maximizers for a class of weighted variational problems under equivalent constraints3
On the critical and supercritical Kirchhoff type problems with lower perturbations and steep potential well: existence and asymptotic behaviour of solutions3
Volterra integral operator on Dirichlet-Morrey type spaces3
On the maximizing problem associated with critical Sobolev inequality under inhomogeneous constraints3
Calderón–Zygmund theory for asymptotically regular nonlinear elliptic problems with double obstacles3
Sign-changing solutions for a modified quasilinear Kirchhoff–Schrödinger–Poisson system via perturbation method3
Weak-type regularity of the Bergman projection on generalized Hartogs triangles in ℂ 33
Direct method of solution for a class of singular integral equations based on meromorphism of solution3
Exact solutions for some classes of non-elliptic Cauchy–Riemann type systems with singular coefficients3
Qualitative properties for solutions of fractional Ginzburg-Landau systems3
Riemann boundary value problems for multiplicative doubly quasi-periodic meta-analytic functions3
Dirichlet series satisfying a Riemann type functional equation and sharing one set3
On existence and concentration of positive solutions for a fractional Kirchhoff equation with critical exponential growth3
Riemann boundary value problems on the Archimedean spiral2
Sharp critical exponents for nonlinear equations with the fractional Laplacian2
W1,γ(·)-estimate to non-uniformly elliptic obstacle problems with borderline growth2
A free boundary problem for discontinuous semilinear elliptic equations in convex ring2
Existence of solution for magnetic Schrödinger equation with the Neumann boundary condition2
Stability and boundedness of weak solutions for fractional sub-Laplace equations2
Competing Kohn–Spencer Laplacian systems with convection in non-isotropic Folland–Stein space2
Conformal mappings on the Grushin plane2
Multi-sublinear operators and their commutators on product generalized mixed Morrey spaces2
Existence and shape of solutions for a class of elliptic systems on the critical hyperbola2
Liouville-type results for fully nonlinear subelliptic equations on the Heisenberg group2
Composition operators over weighted Bergman spaces of Dirichlet series2
Mountain-pass type solutions for the Chern-Simons-Schrödinger equation with critical exponential growth2
Spectrum of the Hilbert transform on Lorentz spaces L p,q 2
Analytic continuation of one variable power series by interpolating its coefficients2
Coefficient bounds for class of g -starlike mappings of complex order γ in2
Existence and nonexistence of positive solutions for fractional p -logistic equation2
Solvability of nonlocal Dirichlet problem for generalized Helmholtz equation in a unit ball2
Bifurcation analysis of fractional Kirchhoff problems with singular exponential nonlinearity2
Holomorphic Lie group actions on Danielewski surfaces2
Existence of nontrivial solutions for fractional Klein–Gordon equation coupled with Born–Infeld theory with critical exponents2
Lp-bounds for Fourier integral operators on the torus2
A Hopf type lemma for nonlocal pseudo-relativistic equations and its applications2
Existence of least energy sign-changing solution for a class of fractional p & q -Laplacian problems with potentials vanishing at infi2
Univalence of T -symmetric Suffridge type polynomials of degree 3 T  + 12
Existence of normalized solutions for a class of Schrödinger-Poisson-Slater equations with general nonlinearities2
Riemann–Hilbert problems for dual-type singular integro-differential equations2
Complete Nevanlinna–Pick kernels and the Schwarz lemma2
Asymptotic behavior of solutions of degenerate elliptic equations in half spaces2
On the Choquard equation with double critical Sobolev exponents in ℝN2
Narasimhan–Simha-type metrics on strongly pseudoconvex domains in ℂn2
The Schwarz inequalities at the boundary point of the Hartogs triangles2
p-harmonic 1-forms on totally real submanifolds in complex space forms1
Improvement of non-integrated defect relation for meromorphic maps from Kähler manifolds1
Residues and currents from singular forms on complex manifolds1
The Ptolemy–Alhazen problem and quadric surface mirror reflection1
Frequent hypercyclicity of the tensor products of composition operators on weighted Dirichlet spaces1
Approximation of monogenic functions by hypercomplex Ruscheweyh derivative bases1
On a class of fourth order bi-nonlocal problems governed by degenerate q (.)-biharmonic operator involving critical growth1
Riemann boundary value problems for poly-analytic functions with unknowns on real axis1
On the theory of generalized analytic Vekua functions with a singular point1
Some refinements of the Fekete–Szegö inequalities for a class of biholomorphic mappings1
Series representations for generalized harmonic functions in the case of three parameters1
Multiplicity and concentration of positive solutions for generalized quasilinear Schrödinger equation with critical exponent in ℝ N 1
On Hankel operators between Fock-Sobolev type spaces1
The effects of toxin and mutual interference among zooplankton on a diffusive plankton–fish model with Crowley–Martin functional response1
Instability of algebraic standing waves for nonlinear Schrödinger equations with triple power nonlinearities1
Extremal problems of Turán-type involving the location of all zeros of a polynomial1
Compressive stress relaxation behavior of articular cartilage with MHD effects1
Indefinite Schrödinger equation with nonlinearity sublinear at zero1
Rayleigh–Faber–Krahn and Hong–Krahn–Szegö-type inequalities for the absolute value of the heat operator1
On the existence and multiplicity of solutions to a singular boundary value problem driven by the p(x) -triharmonic operator in Ω1
Noetherian solvability and explicit solution of a singular integral equation with weighted Carleman shift in Besov spaces1
Normalized solutions for the fractional P -Laplacian equation with exponential critical growth1
Existence and local uniqueness of solutions for hénon problems with bi-parameters perturbation1
Fundamental solutions of a multidimensional degenerate elliptic equation1
Polyharmonic Kirchhoff-type problem without Ambrosetti–Rabinowitz condition1
Unbounded components of positive radial solutions for semilinear indefinite Neumann problems1
Entire function and its linear C-shift operator sharing a set of small functions CM1
The corona theorem for bounded analytic functions in QK type spaces1
Nonhomogeneous singular problems with convection1
Multiple solutions for the logarithmic fractional Kirchhoff equation with critical or supercritical nonlinearity1
Localization of Forelli's theorem1
Existence results for an anisotropic variable exponent Kirchhoff-type problem1
Composition operators on Dirichlet spaces over the half-plane1
Nonlocal Dirichlet problems for anisotropic Schrödinger-type potential systems with variable exponents and critical nonlinearities1
Iterated Robin problem, the case of various parameters1
Embedding model and de Branges-Rovnyak spaces in Dirichlet spaces1
An atomic representation for bicomplex Hardy classes1
Ground state solution for a class of fractional Schrödinger–Poisson system with strong singularity1
Boundedness of intrinsic square functions and commutators on generalized central Morrey spaces1
Composition operator on F(p,q,s) spaces in the unit ball of1
On a class of unilateral L M -elliptic problems with non-standard conditions and L 1
Boundedness of weighted Bergman projection with several complex variables1
Orthogonal projections in the local Dirichlet spaces1
Conjugacy classification of bicomplex Möbius transformations1
Eigenvalues associated with the Khon-Spencer p (⋅)-biharmonic operator on the Heisenberg group1
Some Malmquist type theorems on higher-order partial differential equations with delays1
On holomorphic curves into complex projective varieties1
Hölder continuity of solutions of the Dirichlet problem in pseudoconvex domains1
Bohr's phenomenon for certain classes of analytic functions1
Normalized solutions of ( p , q )-Laplacian equations with mass subcritical growth1
A class of fourth-order problems with Leray–Lion operators and two control parameters1
Global structure of positive solutions for a singular quasilinear elliptic problem1
Analyticity of parametric elliptic eigenvalue problems and applications to quasi-Monte Carlo methods1
Fractional elliptic reaction-diffusion systems with coupled gradient terms and different diffusion1
Positive solutions to quasilinear p(y )-Laplacian equation with Robin boundary condition1
The Taylor expansion of weighted monogenic functions1
The concentration-compactness principle for fractional Orlicz-Sobolev spaces0
g −Loewner chain associated with Muir-type extension operator0
Integral representations for hyperbolic harmonic function in the clifford algebra Cln+1,00
Weak solutions in anisotropic (α→(z),β→(z))-Laplacian Kirchhoff models0
Complex boundary value problems on a circular triangle0
The double obstacle problem in generalized Sobolev spaces with Hardy potential0
Ground states of the inhomogeneous nonlinear fractional Schrödinger-Poisson equations0
Heat coefficients for magnetic Laplacians on the complex projective space P n (ℂ)0
Nonexistence of solutions to higher order evolution inequalities with nonlocal source term on Riemannian manifolds0
Green's function of one problem for the 3-harmonic equation in a ball0
A variant of symmetric mountain pass theorem and its applications for generalized quasi-linear elliptic equations0
Normalized solutions of planar Schrödinger–Poisson systems involving Moser–Trudinger critical growth0
Oblique derivative problem in a plane sector for strong quasi-linear elliptic equation with p -Laplacian0
Liouville theorem of the regional fractional Lane–Emden equations0
Infinitely many nodal solutions for a modified Kirchhoff type equation0
Solutions of Pascali systems attached to convex boundaries0
Solutions for fractional Kirchhoff–Schrödinger–Poisson systems with indefinite potentials0
A new property of arbitrary complex polynomials0
On continuous solutions of the homogeneous Beltrami equation with a polar singularity0
Riemann–Hilbert problem for variable exponent poly-Smirnov space on a piecewise Lyapunov boundary0
An existence result for a fractional elliptic system involving (p,q)-Laplacian and critical exponent0
Generalized Riesz transforms related to uniformly elliptic operators with nonnegative potentials0
Ground state for the magnetic Choquard equation with the Riesz fractional Poisson0
Nodal solutions for a class of anisotropic elliptic problems with indefinite nonlinearities0
Harmonic approximations of analytic functions0
A Hörmander–Fock space0
Nonexistence of anti-symmetric solutions for an elliptic system involving fractional Laplacian0
Curvature estimates for minimal surfaces associated with harmonic mappings having nonzero pole0
A new explicit complete Kähler metric on ℂ n 0
A note on the Brody curves0
On Clifford multivector-valued actions, generalized Dirac equation and quantization of branes0
On the solvability of some systems of integro-differential equations with transport and concentrated sources0
Singular elliptic problem with super-quadratic growth in the gradient0
Normalized bound state solutions of fractional Schrödinger equations with general potential0
Refined Bohr inequality for functions in and in complex Banach spaces0
Existence of nontrivial solitary wave for a generalized Kadomtsev–Petviashvili equation with the potential0
Ground state solutions for Choquard equations with Bessel potential0
Nonlinear polyharmonic boundary value problems in the punctured unit ball0
Improvements to the Montel–Carathéodory theorem for families of -valued holomorphic curves0
Zero distribution of hybrid differential difference polynomials and solutions to related equations0
The uniqueness solution for a fractional φ -Laplacian Dirichlet problem and its spectrum0
Existence and multiplicity of solutions for a class Kirchhoff–Boussinesq equations with nonlocal term in ℝ N 0
Factorization of the Fock–Sobolev space0
Harmonic Green functions for finite parqueting-reflection domains0
Complex coupled dispersionless equations in Minkowski 3-space0
Strongly elliptic differential-difference equations with mixed boundary conditions in a bounded domain0
Solvability in the sense of sequences for some linear and nonlinear Fredholm operators with the logarithmic Laplacian0
Normalized solutions of two-component nonlinear Schrödinger equations with linear couples0
Correction0
On the singular problem involving fractional g -Laplacian0
Functions with no unbounded Fatou components0
On the Hadamard multiplication theorem in ℂ n 0
On compact classes of Beltrami solutions and Dirichlet problem0
Ground state solution for a quasi-linear Schrödinger system with logarithmic perturbation0
Whitney approximation: domains and bounds0
Infinitely many solutions for problems involving -Laplacian and -biharmonic operators0
Bounds for zeros of Collatz polynomials, with necessary and sufficient strictness conditions0
Existence of normalized solutions to Choquard equation with general mixed nonlinearities0
Fractional Musielak spaces: study of nonlocal elliptic problem with Choquard-logarithmic nonlinearity0
Ground state solutions for some Schrödinger–Bopp–Podolsky systems with asymptotically periodic potential0
Ground states solutions for a modified generalized Choquard fractional Schrödinger equation0
L -functions and meromorphic functions satisfying the same Riemann-type functional equation and sharing sets0
A different modelling of complex Hasimoto map for pseudo-null curves via Bishop frame0
A class of quasilinear elliptic equations with singular and exponential terms0
Tangential convergence of solutions of the Schrödinger equation on Damek-Ricci spaces0
Integral problem for abstract elliptic equations and applications0
Dominating sets and reverse Carleson measures on exponentially weighted Bergman spaces0
A parametric singular (p,q) -equation with convection0
Normalized solutions for L 2 -subcritical Choquard equation with different types of potentials0
New multiplicity results for a class of nonlocal equation with steep potential well0
On the best Sobolev inequalities on Riemannian manifolds with boundaries0
Homogenization and corrector result of optimal control problem for Stokes system0
A note on the boundedness of the local index of quasiregular mappings0
Riemann-Hilbert problem associated with an integrable generalized mixed nonlinear Schrödinger equation0
Holomorphic maps from complex discs intersecting hypersurfaces of projective varieties0
On degenerate fractional Schrödinger–Kirchhoff–Poisson equations with upper critical nonlinearity and electromagnetic fields0
A note on unique continuation of eigenfunctions for p -Laplacian operator in a bounded domain Ω in ℝ n 0
Non-radial weights and polynomial approximation in spaces of analytic functions0
One solution for Steklov problems involving nonstandard growth conditions of Kirchhoff type0
Existence results for Schrödinger–Poisson–Slater equation with Coulomb critical exponent0
Biharmonic Steklov problem in half-space0
The dipolar Schramm-Loewner equation for finitely many slits0
The *-product of domains in several complex variables0
A study of a critical hypoelliptic problem in a stratified Lie group0
On a fractional (p,q) -Laplacian equation with critical nonlinearities0
Composition operators between Bergman spaces on infinite type convex domains in ℂ 20
On cylindric homeomorphisms in space0
Existence of ground state solution for semilinear -Laplace equation0
Symmetry of positive solutions for a weighted multilinear integral system0
Multiplicity of solutions for a scalar field equation involving a fractional p -Laplacian with general nonlinearity0
The sharp refined Bohr–Rogosinski inequalities for certain classes of harmonic mappings0
A class of elliptic inclusion in fractional Orlicz–Sobolev spaces0
Three boundary value problems of the Cauchy–Riemann equation in the Eclipse domain0
Existence of solutions for a class of quasilinear elliptic equations involving the p -Laplacian0
A nonlocal elliptic system with nonlinear singular terms0
Infinitely many sign-changing solutions for a kind of planar Choquard equation with critical exponential growth0
Partial regularity for a nonlinear discontinuous sub-elliptic system with drift on the Heisenberg group: the superquadratic case0
Existence results for a class of singular p ( x )-Kirchhoff equations0
Existence of positive solution for a class of generalised Schrödinger equation with supercritical growth0
Dirichlet problem for higher-order equations in a ring domain0
Riemann boundary value problem on a spiral0
Oversampling on a class of symmetric regular de Branges spaces0
Some existence results of solitary waves for coupled Klein–Gordon and Born–Infeld equations0
The Landau-type theorem of α-harmonic mapping with a given boundary function in Lebesgue space0
Positive weak solutions of uniformly elliptic inequalities and applications to population models0
Localization operators associated with the windowed Opdam–Cherednik transform on modulation spaces0
On the solvability of some systems of integro-differential equations with and without a drift0
Nehari manifold for singular fractionalp(x,.)-Laplacian problem0
Multiplicity and concentration results for fractional Kirchhoff equation with magnetic field0
On the higher order Kobayashi pseudometric0
Weighted composition operators on harmonic Fock spaces0
Generalized integration operators on analytic tent spaces ATp∞(α)0
Multiplicity of normalized solutions for nonautonomous fractional Schrödinger equations with critical nonlinearities0
The d-boundedness of the Bergman metric on a kind of Hartogs domain0
Multiple solutions for Kirchhoff–Schrödinger problems of fractional p -Laplacian involving Sobolev–Hardy critical exponent0
The size of the set on which an entire function is large0
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