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 2021-08-01 to 2025-08-01.)
ArticleCitations
Blow-up phenomena for an inhomogeneous p -Laplacian parabolic differential inequality in the half-space21
The Bohr-type operator on analytic functions and sections17
Boundary conjugation problem for piecewise analytic functions in Besov spaces13
Polyanalytic Neumann-n problem in the unit disk12
A generalization of squeezing function11
The pointwise limit of holomorphic functions8
Arbitrary order Mittag-Leffler function with four parameters: properties and fractional operators8
Cauchy problem in Gevrey spaces8
Solutions of linear differential equations in Bergman–Morrey type spaces8
Sign-changing solitary waves for a quasilinear Schrödinger equation with general nonlinearity7
Toeplitz operators on Bergman spaces with exponential weights7
Positive solution for a class of Choquard equations with Hardy–Littlewood–Sobolev critical exponent in exterior domains7
Existence of solutions for fractional Kirchhoff–Schrödinger–Poisson equations via Morse theory7
Bound states for fractional Kirchhoff equations with critical growth7
The nonlinear superposition operator on harmonic fock spaces7
Multiplicity result for a critical biharmonic elliptic equation with logarithmic-type perturbation6
Multiple solutions for the fractional Schrödinger–Poisson system with concave–convex nonlinearities6
Regularity results for an anisotropic nonlinear Dirichlet problem6
Some uncertainty principles for the continuous voice transform6
Sign-changing solutions for a weighted Kirchhoff problem with exponential growth non-linearity6
A necessary and sufficient condition for a TM system to be an unconditional basis6
A moment generalization of some classical second-order differential equations generating classical polynomials6
Weak-type regularity of the Bergman projection on generalized Hartogs triangles in ℂ 35
On a biharmonic choquard equation involving critical exponential growth5
Existence of solution for a nonlocal elliptic problem with a Robin-type data5
Quasilinear nonlocal elliptic problems with a prescribed norm in the L p -subcritical and L 5
On existence and concentration of positive solutions for a fractional Kirchhoff equation with critical exponential growth5
Dirichlet series satisfying a Riemann type functional equation and sharing one set5
The Nehari manifold approach for singular equations involving the p(x)-Laplace operator5
Spectral analysis of the impulsive quadratic pencil of Schrödinger operators with spectral singularities4
A singular Trudinger–Moser inequality on compact Riemann surface with smooth boundary4
Least energy sign-changing solutions of fractional Kirchhoff–Schrödinger–Poisson system with critical and logarithmic nonlinearity4
Embedding weighted Hardy spaces into Lebesgue spaces and generalized area operators4
Trudinger's inequality for Riesz potentials on Musielak-Orlicz spaces over metric measure spaces4
Existence and multiplicity of solutions for a quasilinear double phase problem on the whole space4
Berezin transform and Toeplitz operators on polygonal domains4
Existence and non-existence of maximizers for a class of weighted variational problems under equivalent constraints4
Sign-changing solutions for a modified quasilinear Kirchhoff–Schrödinger–Poisson system via perturbation method4
Singular Trudinger–Moser inequality with Lp norm and the existence of extremals4
Solutions for nonhomogeneous singular fractional p-Laplacian equations via fixed point theorem4
Quasiconformal extension of integral transforms of analytic and harmonic mappings4
Calderón–Zygmund theory for asymptotically regular nonlinear elliptic problems with double obstacles3
Volterra integral operator on Dirichlet-Morrey type spaces3
Existence of least energy sign-changing solution for a class of fractional p & q -Laplacian problems with potentials vanishing at infi3
A free boundary problem for discontinuous semilinear elliptic equations in convex ring3
Sharp critical exponents for nonlinear equations with the fractional Laplacian3
Direct method of solution for a class of singular integral equations based on meromorphism of solution3
On the critical and supercritical Kirchhoff type problems with lower perturbations and steep potential well: existence and asymptotic behaviour of solutions3
A Hopf type lemma for nonlocal pseudo-relativistic equations and its applications3
Riemann boundary value problems on the Archimedean spiral3
Riemann boundary value problems for multiplicative doubly quasi-periodic meta-analytic functions3
On the maximizing problem associated with critical Sobolev inequality under inhomogeneous constraints3
Exact solutions for some classes of non-elliptic Cauchy–Riemann type systems with singular coefficients3
Spectrum of the Hilbert transform on Lorentz spaces L p,q 3
Mountain-pass type solutions for the Chern-Simons-Schrödinger equation with critical exponential growth3
Embedding model and de Branges-Rovnyak spaces in Dirichlet spaces2
The Taylor expansion of weighted monogenic functions2
Existence of solution for magnetic Schrödinger equation with the Neumann boundary condition2
Solvability of nonlocal Dirichlet problem for generalized Helmholtz equation in a unit ball2
On the Choquard equation with double critical Sobolev exponents in ℝN2
Riemann–Hilbert problems for dual-type singular integro-differential equations2
Holomorphic Lie group actions on Danielewski surfaces2
Narasimhan–Simha-type metrics on strongly pseudoconvex domains in ℂn2
The Schwarz inequalities at the boundary point of the Hartogs triangles2
Competing Kohn–Spencer Laplacian systems with convection in non-isotropic Folland–Stein space2
Improved Bohr inequalities for certain class of harmonic univalent functions2
Asymptotics of eigenvalues for Toeplitz matrices with rational symbols that have a minimum of the 4th order2
A class of fourth-order problems with Leray–Lion operators and two control parameters2
Analytic continuation of one variable power series by interpolating its coefficients2
Riemann problem for bianalytic functions on h-summable curves2
Positive solutions to quasilinear p(y )-Laplacian equation with Robin boundary condition2
Liouville-type results for fully nonlinear subelliptic equations on the Heisenberg group2
Coefficient bounds for class of g -starlike mappings of complex order γ in2
On a left-α-ψ-hyperholomorphic Bergman space2
Lp-bounds for Fourier integral operators on the torus2
Existence and nonexistence of positive solutions for fractional p -logistic equation2
Bifurcation analysis of fractional Kirchhoff problems with singular exponential nonlinearity2
Indefinite Schrödinger equation with nonlinearity sublinear at zero2
Rayleigh–Faber–Krahn and Hong–Krahn–Szegö-type inequalities for the absolute value of the heat operator2
Compressive stress relaxation behavior of articular cartilage with MHD effects2
Conformal mappings on the Grushin plane2
Complete Nevanlinna–Pick kernels and the Schwarz lemma2
W1,γ(·)-estimate to non-uniformly elliptic obstacle problems with borderline growth2
Existence of nontrivial solutions for fractional Klein–Gordon equation coupled with Born–Infeld theory with critical exponents2
Composition operators over weighted Bergman spaces of Dirichlet series2
Multi-sublinear operators and their commutators on product generalized mixed Morrey spaces2
The Ptolemy–Alhazen problem and quadric surface mirror reflection1
Multiple solutions for the logarithmic fractional Kirchhoff equation with critical or supercritical nonlinearity1
The effects of toxin and mutual interference among zooplankton on a diffusive plankton–fish model with Crowley–Martin functional response1
Polyharmonic Kirchhoff-type problem without Ambrosetti–Rabinowitz condition1
Extremal problems of Turán-type involving the location of all zeros of a polynomial1
Compact embeddings for Sobolev spaces of two variable exponents1
On fractional Choquard–Kirchhoff equations with subcritical or critical nonlinearities1
Analyticity of parametric elliptic eigenvalue problems and applications to quasi-Monte Carlo methods1
Bohr's phenomenon for certain classes of analytic functions1
Unbounded components of positive radial solutions for semilinear indefinite Neumann problems1
Frequent hypercyclicity of the tensor products of composition operators on weighted Dirichlet spaces1
On the theory of generalized analytic Vekua functions with a singular point1
-selfadjoint product of a composition operator and a maximal differential operator on the Fock space1
Lipschitz type characterizations for Bergman-Orlicz spaces of eigenfunctions on hyperbolic space1
The Fekete and Szegö inequality for a class of holomorphic mappings on the unit polydisk in and its application1
A lower estimate for weak-type Fourier multipliers1
Normalized solutions for the fractional P -Laplacian equation with exponential critical growth1
Toeplitz and Cesàro-type operators on homogeneous Siegel domains1
The nonlinear Riemann boundary value problem with square roots for Lyapunov open curve in variable exponent spaces1
Multiplicity and concentration of positive solutions for generalized quasilinear Schrödinger equation with critical exponent in ℝ N 1
On a weak solutions for a singular problems involving the fractional p(·) -Laplacian type operators1
Existence and local uniqueness of solutions for hénon problems with bi-parameters perturbation1
Optimal Liouville type theorems for porous medium systems with sources1
Conjugacy classification of bicomplex Möbius transformations1
Approximation of monogenic functions by hypercomplex Ruscheweyh derivative bases1
Existence results for an anisotropic variable exponent Kirchhoff-type problem1
Instability of algebraic standing waves for nonlinear Schrödinger equations with triple power nonlinearities1
Global structure of positive solutions for a singular quasilinear elliptic problem1
Mountain pass solution to a perturbated Hardy–Sobolev equation involving p-Laplacian on compact Riemannian manifolds1
On holomorphic curves into complex projective varieties1
Localization of Forelli's theorem1
Entire function and its linear C-shift operator sharing a set of small functions CM1
Nonhomogeneous singular problems with convection1
p-harmonic 1-forms on totally real submanifolds in complex space forms1
Families of homomorphic mappings in the polydisk1
Noetherian solvability and explicit solution of a singular integral equation with weighted Carleman shift in Besov spaces1
Existence of solutions to some quasilinear degenerate elliptic systems when the datum has an intermediate degree of integrability1
Existence and multiplicity of sign-changing solutions for quasilinear Schrödinger–Poisson system1
Series representations for generalized harmonic functions in the case of three parameters1
Multiple solutions for an equation with weights and a nonlinearity with arbitrary growth1
Improvement of non-integrated defect relation for meromorphic maps from Kähler manifolds1
Riemann boundary value problems for poly-analytic functions with unknowns on real axis1
Boundedness of weighted Bergman projection with several complex variables1
Orthogonal projections in the local Dirichlet spaces1
Some Malmquist type theorems on higher-order partial differential equations with delays1
On Fredholm solvability and on the index of the generalized Neumann problem for an elliptic equation1
Composition operators on Dirichlet spaces over the half-plane1
Iterated Robin problem, the case of various parameters1
Eigenvalues associated with the Khon-Spencer p (⋅)-biharmonic operator on the Heisenberg group1
Nonlocal Dirichlet problems for anisotropic Schrödinger-type potential systems with variable exponents and critical nonlinearities1
The corona theorem for bounded analytic functions in QK type spaces1
Symmetry dynamics in singular Hénon-type p -Laplacian systems1
Some refinements of the Fekete–Szegö inequalities for a class of biholomorphic mappings1
On a piecewise psi-Hilfer fractional differential equation1
Boundedness of intrinsic square functions and commutators on generalized central Morrey spaces1
Existence and nonexistence results of polyharmonic boundary value problems with supercritical growth1
Hardy-complementary local Morrey spaces1
Composition operator on F(p,q,s) spaces in the unit ball of1
Liouville theorem for Hénon-type bi-harmonic Choquard equation in ℝ 51
Hölder continuity of solutions of the Dirichlet problem in pseudoconvex domains1
Weighted composition operators on harmonic Fock spaces0
Existence of solution for the ( p, q )-fractional Laplacian equation with nonlocal Choquard reaction and exponential growth0
Multiplicity of solutions for a scalar field equation involving a fractional p -Laplacian with general nonlinearity0
Nonexistence of solutions to higher order evolution inequalities with nonlocal source term on Riemannian manifolds0
Homogenization of a boundary optimal control problem governed by Stokes equations0
Generalized Riesz transforms related to uniformly elliptic operators with nonnegative potentials0
Oblique derivative problem in a plane sector for strong quasi-linear elliptic equation with p -Laplacian0
On a fractional (p,q) -Laplacian equation with critical nonlinearities0
On continuous solutions of the homogeneous Beltrami equation with a polar singularity0
Singular elliptic problem with super-quadratic growth in the gradient0
Nehari manifold for singular fractionalp(x,.)-Laplacian problem0
Riemann boundary value problem on a spiral0
Existence results for Schrödinger–Poisson–Slater equation with Coulomb critical exponent0
Harmonic Green functions for finite parqueting-reflection domains0
Multiple solutions for Kirchhoff–Schrödinger problems of fractional p -Laplacian involving Sobolev–Hardy critical exponent0
A new property of arbitrary complex polynomials0
Existence of solution for a supercritical nonlinear Schrödinger equation0
p ( x )-biharmonic equations involving Leray–Lions type operators with Hardy potentials0
Normalized solutions for L 2 -subcritical Choquard equation with different types of potentials0
On the solvability of some systems of integro-differential equations with transport and concentrated sources0
On Clifford multivector-valued actions, generalized Dirac equation and quantization of branes0
g −Loewner chain associated with Muir-type extension operator0
Existence of ground state solution for semilinear -Laplace equation0
New multiplicity results for a class of nonlocal equation with steep potential well0
Biharmonic Steklov problem in half-space0
On factorization of multivectors in Cl(3,0), Cl(1,2) and Cl(0,3), by exponentials and idempotents0
A study of a critical hypoelliptic problem in a stratified Lie group0
Normalized bound state solutions of fractional Schrödinger equations with general potential0
Existence and multiplicity of solutions for a class Kirchhoff–Boussinesq equations with nonlocal term in ℝ N 0
Green's function of one problem for the 3-harmonic equation in a ball0
A class of quasilinear elliptic equations with singular and exponential terms0
On degenerate fractional Schrödinger–Kirchhoff–Poisson equations with upper critical nonlinearity and electromagnetic fields0
Refined Bohr inequality for functions in and in complex Banach spaces0
Plemelj formula of inframonogenic functions and their boundary value problems0
Nonlinear polyharmonic boundary value problems in the punctured unit ball0
Weak solutions for a ( p ,  q )-Laplacian systems with two parameters on PCF-fractal domain0
Ground state solution for a quasi-linear Schrödinger system with logarithmic perturbation0
The dipolar Schramm-Loewner equation for finitely many slits0
A note on the Brody curves0
Partial regularity for a nonlinear discontinuous sub-elliptic system with drift on the Heisenberg group: the superquadratic case0
The size of the set on which an entire function is large0
Infinitely many sign-changing solutions for a kind of planar Choquard equation with critical exponential growth0
Existence of solutions for a class of quasilinear elliptic equations involving the p -Laplacian0
Oversampling on a class of symmetric regular de Branges spaces0
On the best Sobolev inequalities on Riemannian manifolds with boundaries0
On the cohomologies of the de Rham complex over weighted isotropic and anisotropic Hölder spaces0
Complex coupled dispersionless equations in Minkowski 3-space0
The *-product of domains in several complex variables0
Strongly elliptic differential-difference equations with mixed boundary conditions in a bounded domain0
Boundary behavior of the squeezing function near a global extreme point0
Bounds for zeros of Collatz polynomials, with necessary and sufficient strictness conditions0
Degenerate elliptic problem with a singular nonlinearity0
Symmetry of positive solutions for a weighted multilinear integral system0
Positive weak solutions of uniformly elliptic inequalities and applications to population models0
The double obstacle problem in generalized Sobolev spaces with Hardy potential0
Second main theorem for holomorphic maps from complex disks with moving hyperplanes0
Curvature estimates for minimal surfaces associated with harmonic mappings having nonzero pole0
Non-radial weights and polynomial approximation in spaces of analytic functions0
Normalized solutions of planar Schrödinger–Poisson systems involving Moser–Trudinger critical growth0
On the higher order Kobayashi pseudometric0
An existence result for a fractional elliptic system involving (p,q)-Laplacian and critical exponent0
On the delay differential variational inequalities of parabolic–elliptic type0
Liouville theorem of the regional fractional Lane–Emden equations0
A note on the boundedness of the local index of quasiregular mappings0
A note on unique continuation of eigenfunctions for p -Laplacian operator in a bounded domain Ω in ℝ n 0
Infinitely many solutions for problems involving -Laplacian and -biharmonic operators0
Existence of positive solutions to the fractional Kirchhoff-type problems involving steep potential well0
The uniqueness solution for a fractional φ -Laplacian Dirichlet problem and its spectrum0
On the Hadamard multiplication theorem in ℂ n 0
Correction0
Ground state solutions for some Schrödinger–Bopp–Podolsky systems with asymptotically periodic potential0
Functions with no unbounded Fatou components0
Holomorphic maps from complex discs intersecting hypersurfaces of projective varieties0
On the singular problem involving fractional g -Laplacian0
A Hörmander–Fock space0
Ground states of the inhomogeneous nonlinear fractional Schrödinger-Poisson equations0
Complex boundary value problems on a circular triangle0
Some existence results of solitary waves for coupled Klein–Gordon and Born–Infeld equations0
Multiplicity and concentration results for fractional Kirchhoff equation with magnetic field0
On cylindric homeomorphisms in space0
Ground states solutions for a modified generalized Choquard fractional Schrödinger equation0
A parametric singular (p,q) -equation with convection0
A different modelling of complex Hasimoto map for pseudo-null curves via Bishop frame0
Homogenization and corrector result of optimal control problem for Stokes system0
A new explicit complete Kähler metric on ℂ n 0
Existence of positive solutions to nonlinear integral equations on the Heisenberg group0
Symmetry and monotonicity of positive solutions for a system involving fractional p&q-Laplacian in a ball0
On compact classes of Beltrami solutions and Dirichlet problem0
Ground states for nonlinear Schrödinger equation with sign-changing and vanishing potential0
Improvements to the Montel–Carathéodory theorem for families of -valued holomorphic curves0
Existence of nontrivial solitary wave for a generalized Kadomtsev–Petviashvili equation with the potential0
Ground state solutions for Choquard equations with Bessel potential0
On a case of -linear conjugation problem on the unit circle0
Riemann-Hilbert problem associated with an integrable generalized mixed nonlinear Schrödinger equation0
Multiplicity of normalized solutions for nonautonomous fractional Schrödinger equations with critical nonlinearities0
Solvability in the sense of sequences for some linear and nonlinear Fredholm operators with the logarithmic Laplacian0
Three boundary value problems of the Cauchy–Riemann equation in the Eclipse domain0
Harmonic approximations of analytic functions0
One solution for Steklov problems involving nonstandard growth conditions of Kirchhoff type0
The d-boundedness of the Bergman metric on a kind of Hartogs domain0
Existence and multiplicity of solutions to N-Kirchhoff equations with critical exponential growth and a perturbation term0
The concentration-compactness principle for fractional Orlicz-Sobolev spaces0
Dirichlet problem for higher-order equations in a ring domain0
Special issue in honour of Vladimir S. Rabinovich0
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