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 2021-06-01 to 2025-06-01.)
ArticleCitations
An inverse problem for an elliptic equation in a spherical domain20
Blow-up phenomena for an inhomogeneous p -Laplacian parabolic differential inequality in the half-space14
Boundary conjugation problem for piecewise analytic functions in Besov spaces13
The Bohr-type operator on analytic functions and sections13
Polyanalytic Neumann-n problem in the unit disk12
Cauchy problem in Gevrey spaces9
A generalization of squeezing function9
The pointwise limit of holomorphic functions8
Solutions of linear differential equations in Bergman–Morrey type spaces8
Existence of solutions for fractional Kirchhoff–Schrödinger–Poisson equations via Morse theory7
Bound states for fractional Kirchhoff equations with critical growth7
Chirality notions and electromagnetic scattering: a mini review7
Positive solution for a class of Choquard equations with Hardy–Littlewood–Sobolev critical exponent in exterior domains7
Arbitrary order Mittag-Leffler function with four parameters: properties and fractional operators7
The Nehari manifold approach for singular equations involving the p(x)-Laplace operator6
Toeplitz operators on Bergman spaces with exponential weights6
Some uncertainty principles for the continuous voice transform6
A necessary and sufficient condition for a TM system to be an unconditional basis6
On a class of degenerate quasilinear elliptic equations with zero mass6
Multiple solutions for the fractional Schrödinger–Poisson system with concave–convex nonlinearities6
Pohozaev-type identities for a pseudo-relativistic Schrödinger operator and applications6
Sign-changing solitary waves for a quasilinear Schrödinger equation with general nonlinearity6
The nonlinear superposition operator on harmonic fock spaces6
Dirichlet series satisfying a Riemann type functional equation and sharing one set5
Sign-changing solutions for a weighted Kirchhoff problem with exponential growth non-linearity5
Weak-type regularity of the Bergman projection on generalized Hartogs triangles in ℂ 35
On C*-algebras of singular integral operators with PQC coefficients and shifts with fixed points5
Regularity results for an anisotropic nonlinear Dirichlet problem5
Existence of solution for a nonlocal elliptic problem with a Robin-type data5
On a biharmonic choquard equation involving critical exponential growth5
Quasiconformal extension of integral transforms of analytic and harmonic mappings4
On existence and concentration of positive solutions for a fractional Kirchhoff equation with critical exponential growth4
Singular Trudinger–Moser inequality with Lp norm and the existence of extremals4
Trudinger's inequality for Riesz potentials on Musielak-Orlicz spaces over metric measure spaces4
Embedding weighted Hardy spaces into Lebesgue spaces and generalized area operators4
Spectral analysis of the impulsive quadratic pencil of Schrödinger operators with spectral singularities4
Berezin transform and Toeplitz operators on polygonal domains4
Sign-changing solutions for a modified quasilinear Kirchhoff–Schrödinger–Poisson system via perturbation method4
Liouville-type theorems for a system of fractional Laplacian equations4
Existence and non-existence of maximizers for a class of weighted variational problems under equivalent constraints4
A singular Trudinger–Moser inequality on compact Riemann surface with smooth boundary4
A Hopf type lemma for nonlocal pseudo-relativistic equations and its applications3
Riemann boundary value problems on the Archimedean spiral3
On a left-α-ψ-hyperholomorphic Bergman space3
Multiple solutions for a quasilinear Schrödinger equation involving critical Hardy–Sobolev exponent with Robin boundary condition3
Least energy sign-changing solutions of fractional Kirchhoff–Schrödinger–Poisson system with critical and logarithmic nonlinearity3
On the maximizing problem associated with critical Sobolev inequality under inhomogeneous constraints3
Sharp critical exponents for nonlinear equations with the fractional Laplacian3
Spectrum of the Hilbert transform on Lorentz spaces L p,q 3
Composition operators over weighted Bergman spaces of Dirichlet series3
Existence of least energy sign-changing solution for a class of fractional p & q -Laplacian problems with potentials vanishing at infi3
Existence and multiplicity of solutions for a quasilinear double phase problem on the whole space3
Riemann boundary value problems for multiplicative doubly quasi-periodic meta-analytic functions3
Volterra integral operator on Dirichlet-Morrey type spaces3
Mountain-pass type solutions for the Chern-Simons-Schrödinger equation with critical exponential growth3
A free boundary problem for discontinuous semilinear elliptic equations in convex ring3
G-monogenic mappings in a three-dimensional noncommutative algebra3
On the critical and supercritical Kirchhoff type problems with lower perturbations and steep potential well: existence and asymptotic behaviour of solutions3
Solutions for nonhomogeneous singular fractional p-Laplacian equations via fixed point theorem3
Calderón–Zygmund theory for asymptotically regular nonlinear elliptic problems with double obstacles3
Exact solutions for some classes of non-elliptic Cauchy–Riemann type systems with singular coefficients3
The Schwarz inequalities at the boundary point of the Hartogs triangles2
Liouville-type results for fully nonlinear subelliptic equations on the Heisenberg group2
On the Choquard equation with double critical Sobolev exponents in ℝN2
A class of fourth-order problems with Leray–Lion operators and two control parameters2
Riemann–Hilbert problems for dual-type singular integro-differential equations2
Positive solutions to quasilinear p(y )-Laplacian equation with Robin boundary condition2
Asymptotics of eigenvalues for Toeplitz matrices with rational symbols that have a minimum of the 4th order2
Riemann problem for bianalytic functions on h-summable curves2
Coefficient bounds for class of g -starlike mappings of complex order γ in2
Narasimhan–Simha-type metrics on strongly pseudoconvex domains in ℂn2
Improved Bohr inequalities for certain class of harmonic univalent functions2
Analytic continuation of one variable power series by interpolating its coefficients2
Bifurcation analysis of fractional Kirchhoff problems with singular exponential nonlinearity2
Rayleigh–Faber–Krahn and Hong–Krahn–Szegö-type inequalities for the absolute value of the heat operator2
The Taylor expansion of weighted monogenic functions2
Solvability of nonlocal Dirichlet problem for generalized Helmholtz equation in a unit ball2
Compressive stress relaxation behavior of articular cartilage with MHD effects2
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
Multi-sublinear operators and their commutators on product generalized mixed Morrey spaces2
Lp-bounds for Fourier integral operators on the torus2
Embedding model and de Branges-Rovnyak spaces in Dirichlet spaces2
Competing Kohn–Spencer Laplacian systems with convection in non-isotropic Folland–Stein space2
Existence of solution for magnetic Schrödinger equation with the Neumann boundary condition2
Indefinite Schrödinger equation with nonlinearity sublinear at zero2
Conformal mappings on the Grushin plane2
Holomorphic Lie group actions on Danielewski surfaces2
Existence and nonexistence of positive solutions for fractional p -logistic equation2
The corona theorem for bounded analytic functions in QK type spaces1
Existence results for an anisotropic variable exponent Kirchhoff-type problem1
Some Malmquist type theorems on higher-order partial differential equations with delays1
Unbounded components of positive radial solutions for semilinear indefinite Neumann problems1
-selfadjoint product of a composition operator and a maximal differential operator on the Fock space1
On fractional Choquard–Kirchhoff equations with subcritical or critical nonlinearities1
The second Hankel determinant for starlike and convex functions of order alpha1
Entire function and its linear C-shift operator sharing a set of small functions CM1
Orthogonal projections in the local Dirichlet spaces1
The Ptolemy–Alhazen problem and quadric surface mirror reflection1
On the theory of generalized analytic Vekua functions with a singular point1
Existence of solutions to some quasilinear degenerate elliptic systems when the datum has an intermediate degree of integrability1
Toeplitz and Cesàro-type operators on homogeneous Siegel domains1
Existence and nonexistence results of polyharmonic boundary value problems with supercritical growth1
Frequent hypercyclicity of the tensor products of composition operators on weighted Dirichlet spaces1
Lipschitz type characterizations for Bergman-Orlicz spaces of eigenfunctions on hyperbolic space1
On Fredholm solvability and on the index of the generalized Neumann problem for an elliptic equation1
On Bergman-Orlicz and Campanato-Orlicz spaces of hyperbolic harmonic functions on the real unit ball1
Intersection properties for singular radial solutions of quasilinear elliptic equations with Hardy type potentials1
Maximal ideals in a bicomplex algebra and bicomplex Gelfand–Mazur theorem1
Multiple solutions for an equation with weights and a nonlinearity with arbitrary growth1
Bohr's phenomenon for certain classes of analytic functions1
Approximation of monogenic functions by hypercomplex Ruscheweyh derivative bases1
Polyharmonic Kirchhoff-type problem without Ambrosetti–Rabinowitz condition1
Global structure of positive solutions for a singular quasilinear elliptic problem1
Iterated Robin problem, the case of various parameters1
Boundedness of intrinsic square functions and commutators on generalized central Morrey spaces1
Multiple solutions for the logarithmic fractional Kirchhoff equation with critical or supercritical nonlinearity1
Analyticity of parametric elliptic eigenvalue problems and applications to quasi-Monte Carlo methods1
Nonlocal Dirichlet problems for anisotropic Schrödinger-type potential systems with variable exponents and critical nonlinearities1
Nonhomogeneous singular problems with convection1
Liouville theorem for Hénon-type bi-harmonic Choquard equation in1
Some refinements of the Fekete–Szegö inequalities for a class of biholomorphic mappings1
Hardy-complementary local Morrey spaces1
On holomorphic curves into complex projective varieties1
Composition operator on F(p,q,s) spaces in the unit ball of1
Solutions for a nonlinear equation with competing operators and supercritical exponential growth1
Series representations for generalized harmonic functions in the case of three parameters1
Existence and multiplicity of sign-changing solutions for quasilinear Schrödinger–Poisson system1
Improvement of non-integrated defect relation for meromorphic maps from Kähler manifolds1
On a piecewise psi-Hilfer fractional differential equation1
Corona and Wolff theorems for the multiplier algebra of Besov–Morrey spaces1
Conjugacy classification of bicomplex Möbius transformations1
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
Extremal problems of Turán-type involving the location of all zeros of a polynomial1
Surjectivity of the ̄∂-operator between weighted spaces of smooth vector-valued functions1
Composition operators on Dirichlet spaces over the half-plane1
A mean value criterion for plurisubharmonic functions1
Eigenvalues associated with the Khon-Spencer p (⋅)-biharmonic operator on the Heisenberg group1
Compact embeddings for Sobolev spaces of two variable exponents1
p-harmonic 1-forms on totally real submanifolds in complex space forms1
Riemann–Hilbert problem on a torus and a vortex patch in a wedge1
Riemann boundary value problems for poly-analytic functions with unknowns on real axis1
Multiplicity and concentration of positive solutions for generalized quasilinear Schrödinger equation with critical exponent in ℝ N 1
A lower estimate for weak-type Fourier multipliers1
Optimal Liouville type theorems for porous medium systems with sources1
The Fekete and Szegö inequality for a class of holomorphic mappings on the unit polydisk in and its application1
Submanifolds of some Hartogs domain and the complex Euclidean space1
Noetherian solvability and explicit solution of a singular integral equation with weighted Carleman shift in Besov spaces1
Finite zero-based invariant subspaces of the shift operator on reproducing kernel spaces1
Hölder continuity of solutions of the Dirichlet problem in pseudoconvex domains1
Families of homomorphic mappings in the polydisk1
Boundedness of weighted Bergman projection with several complex variables1
Complex manifolds of Sobolev mappings and a Hartogs-type theorem in loop spaces1
The effects of toxin and mutual interference among zooplankton on a diffusive plankton–fish model with Crowley–Martin functional response1
Localization of Forelli's theorem1
Quaternionic slice regular functions with some sphere bundles1
Mountain pass solution to a perturbated Hardy–Sobolev equation involving p-Laplacian on compact Riemannian manifolds1
The nonlinear Riemann boundary value problem with square roots for Lyapunov open curve in variable exponent spaces1
Instability of algebraic standing waves for nonlinear Schrödinger equations with triple power nonlinearities1
Infinitely many sign-changing solutions for a kind of planar Choquard equation with critical exponential growth0
Ground states solutions for a modified generalized Choquard fractional Schrödinger equation0
Symmetry and monotonicity of positive solutions for a system involving fractional p&q-Laplacian in a ball0
Symmetry of positive solutions for a weighted multilinear integral system0
Landau's theorem for harmonic Bloch functions on simply connected domains0
Nonexistence of solutions to higher order evolution inequalities with nonlocal source term on Riemannian manifolds0
An existence result for a fractional elliptic system involving (p,q)-Laplacian and critical exponent0
Multiple solutions for Kirchhoff–Schrödinger problems of fractional p -Laplacian involving Sobolev–Hardy critical exponent0
Complex boundary value problems on a circular triangle0
Nehari manifold for singular fractionalp(x,.)-Laplacian problem0
Publisher's note0
Harmonic approximations of analytic functions0
The uniqueness solution for a fractional φ -Laplacian Dirichlet problem and its spectrum0
Existence of solution for the ( p, q )-fractional Laplacian equation with nonlocal Choquard reaction and exponential growth0
Normalized solutions of planar Schrödinger–Poisson systems involving Moser–Trudinger critical growth0
Plemelj formula of inframonogenic functions and their boundary value problems0
A Hörmander–Fock space0
g −Loewner chain associated with Muir-type extension operator0
On a case of -linear conjugation problem on the unit circle0
Boundary behavior of the squeezing function near a global extreme point0
On continuous solutions of the homogeneous Beltrami equation with a polar singularity0
Monotonicity of solutions for a class of uniformly elliptic nonlocal Bellman systems0
A note on the Brody curves0
A parametric singular (p,q) -equation with convection0
On the solvability of some systems of integro-differential equations with and without a drift0
A new explicit complete Kähler metric on ℂ n 0
The *-product of domains in several complex variables0
Singular elliptic problem with super-quadratic growth in the gradient0
On compact classes of Beltrami solutions and Dirichlet problem0
Harmonic Green functions for finite parqueting-reflection domains0
Improvements to the Montel–Carathéodory theorem for families of -valued holomorphic curves0
Green's function of one problem for the 3-harmonic equation in a ball0
Existence and multiplicity of solutions for m -polyharmonic Kirchhoff problems without Ambrosetti–Rabinowitz conditions0
Second main theorem for holomorphic maps from complex disks with moving hyperplanes0
The double obstacle problem in generalized Sobolev spaces with Hardy potential0
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
Complex coupled dispersionless equations in Minkowski 3-space0
Weighted composition operators on harmonic Fock spaces0
Homogenization of a boundary optimal control problem governed by Stokes equations0
Refined Bohr inequality for functions in and in complex Banach spaces0
A class of quasilinear elliptic equations with singular and exponential terms0
Nonlinear polyharmonic boundary value problems in the punctured unit ball0
On the delay differential variational inequalities of parabolic–elliptic type0
The d-boundedness of the Bergman metric on a kind of Hartogs domain0
Dirichlet problem for higher-order equations in a ring domain0
Generalized Riesz transforms related to uniformly elliptic operators with nonnegative potentials0
Existence and multiplicity of solutions for a class Kirchhoff–Boussinesq equations with nonlocal term in ℝ N 0
On factorization of multivectors in Cl(3,0), Cl(1,2) and Cl(0,3), by exponentials and idempotents0
On the singular problem involving fractional g -Laplacian0
Schwarz boundary value problem on Reuleaux triangle0
Oversampling on a class of symmetric regular de Branges spaces0
Infinitely many solutions for problems involving -Laplacian and -biharmonic operators0
On the solvability of some systems of integro-differential equations with transport and concentrated sources0
On the cohomologies of the de Rham complex over weighted isotropic and anisotropic Hölder spaces0
The concentration-compactness principle for fractional Orlicz-Sobolev spaces0
Infinitely many solutions for a doubly nonlocal fractional problem involving two critical nonlinearities0
Homogenization and corrector result of optimal control problem for Stokes system0
Three boundary value problems of the Cauchy–Riemann equation in the Eclipse domain0
Some existence results of solitary waves for coupled Klein–Gordon and Born–Infeld equations0
Two remarks on the Poincaré metric on a singular Riemann surface foliation0
On a fractional (p,q) -Laplacian equation with critical nonlinearities0
The central role of Montel's theorem in complex function theory0
Existence of nontrivial solitary wave for a generalized Kadomtsev–Petviashvili equation with the potential0
Biharmonic Steklov problem in half-space0
Holomorphic maps from complex discs intersecting hypersurfaces of projective varieties0
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
The perturbation method for the skew-symmetric strongly elliptic systems of PDEs0
Correction0
Riemann-Hilbert problem associated with an integrable generalized mixed nonlinear Schrödinger equation0
Existence and multiplicity of solutions to N-Kirchhoff equations with critical exponential growth and a perturbation term0
Correction0
On the Hadamard multiplication theorem in ℂ n 0
Existence of solution for a supercritical nonlinear Schrödinger equation0
A study of a critical hypoelliptic problem in a stratified Lie group0
Weak solutions for a ( p ,  q )-Laplacian systems with two parameters on PCF-fractal domain0
Existence of solutions for a class of quasilinear elliptic equations involving the p -Laplacian0
Oblique derivative problem in a plane sector for strong quasi-linear elliptic equation with p -Laplacian0
Existence of positive solutions to nonlinear integral equations on the Heisenberg group0
Liouville theorem of the regional fractional Lane–Emden equations0
Bounds for zeros of Collatz polynomials, with necessary and sufficient strictness conditions0
Approximation theorems for Pascali systems0
The dipolar Schramm-Loewner equation for finitely many slits0
Riemann boundary value problem on a spiral0
Multiplicity and concentration results for fractional Kirchhoff equation with magnetic field0
A new property of arbitrary complex polynomials0
A different modelling of complex Hasimoto map for pseudo-null curves via Bishop frame0
Existence of ground state solution for semilinear -Laplace equation0
0.16000509262085