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 2021-09-01 to 2025-09-01.)
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
Cauchy problem in Gevrey spaces8
Solutions of linear differential equations in Bergman–Morrey type spaces8
The pointwise limit of holomorphic functions8
Arbitrary order Mittag-Leffler function with four parameters: properties and fractional operators8
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
Sign-changing solitary waves for a quasilinear Schrödinger equation with general nonlinearity7
Existence of solutions for fractional Kirchhoff–Schrödinger–Poisson equations via Morse theory7
Bound states for fractional Kirchhoff equations with critical growth7
Some uncertainty principles for the continuous voice transform6
Regularity results for an anisotropic nonlinear Dirichlet problem6
Multiple solutions for the fractional Schrödinger–Poisson system with concave–convex nonlinearities6
On a biharmonic choquard equation involving critical exponential growth6
The nonlinear superposition operator on harmonic fock spaces6
Multiplicity result for a critical biharmonic elliptic equation with logarithmic-type perturbation6
A necessary and sufficient condition for a TM system to be an unconditional basis6
Dirichlet series satisfying a Riemann type functional equation and sharing one set5
A moment generalization of some classical second-order differential equations generating classical polynomials5
Quasilinear nonlocal elliptic problems with a prescribed norm in the L p -subcritical and L 5
Sign-changing solutions for a weighted Kirchhoff problem with exponential growth non-linearity5
The Nehari manifold approach for singular equations involving the p(x)-Laplace operator5
Existence of solution for a nonlocal elliptic problem with a Robin-type data4
Quasiconformal extension of integral transforms of analytic and harmonic mappings4
Trudinger's inequality for Riesz potentials on Musielak-Orlicz spaces over metric measure spaces4
Berezin transform and Toeplitz operators on polygonal domains4
Weak-type regularity of the Bergman projection on generalized Hartogs triangles in ℂ 34
Embedding weighted Hardy spaces into Lebesgue spaces and generalized area operators4
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
On existence and concentration of positive solutions for a fractional Kirchhoff equation with critical exponential growth4
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
Spectral analysis of the impulsive quadratic pencil of Schrödinger operators with spectral singularities4
Mountain-pass type solutions for the Chern-Simons-Schrödinger equation with critical exponential growth3
On the maximizing problem associated with critical Sobolev inequality under inhomogeneous constraints3
Least energy sign-changing solutions of fractional Kirchhoff–Schrödinger–Poisson system with critical and logarithmic nonlinearity3
Volterra integral operator on Dirichlet-Morrey type spaces3
Direct method of solution for a class of singular integral equations based on meromorphism of solution3
A Hopf type lemma for nonlocal pseudo-relativistic equations and its applications3
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
Existence of least energy sign-changing solution for a class of fractional p & q -Laplacian problems with potentials vanishing at infi3
Fractional p -Kirchhoff equation with Sobolev and Choquard singular nonlinearities3
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
Sharp critical exponents for nonlinear equations with the fractional Laplacian2
Lp-bounds for Fourier integral operators on the torus2
Competing Kohn–Spencer Laplacian systems with convection in non-isotropic Folland–Stein space2
Rayleigh–Faber–Krahn and Hong–Krahn–Szegö-type inequalities for the absolute value of the heat operator2
Stability and boundedness of weak solutions for fractional sub-Laplace equations2
Bifurcation analysis of fractional Kirchhoff problems with singular exponential nonlinearity2
Asymptotic behavior of solutions of degenerate elliptic equations in half spaces2
Existence of nontrivial solutions for fractional Klein–Gordon equation coupled with Born–Infeld theory with critical exponents2
Narasimhan–Simha-type metrics on strongly pseudoconvex domains in ℂn2
The Schwarz inequalities at the boundary point of the Hartogs triangles2
On a left-α-ψ-hyperholomorphic Bergman space2
Spectrum of the Hilbert transform on Lorentz spaces L p,q 2
Complete Nevanlinna–Pick kernels and the Schwarz lemma2
Riemann–Hilbert problems for dual-type singular integro-differential equations2
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
Analytic continuation of one variable power series by interpolating its coefficients2
Multi-sublinear operators and their commutators on product generalized mixed Morrey spaces2
W1,γ(·)-estimate to non-uniformly elliptic obstacle problems with borderline growth2
Existence and nonexistence of positive solutions for fractional p -logistic equation2
A free boundary problem for discontinuous semilinear elliptic equations in convex ring2
Composition operators over weighted Bergman spaces of Dirichlet series2
Holomorphic Lie group actions on Danielewski surfaces2
Riemann boundary value problems on the Archimedean spiral2
The Taylor expansion of weighted monogenic functions2
Compressive stress relaxation behavior of articular cartilage with MHD effects2
Positive solutions to quasilinear p(y )-Laplacian equation with Robin boundary condition2
Conformal mappings on the Grushin plane2
On the Choquard equation with double critical Sobolev exponents in ℝN2
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
Improved Bohr inequalities for certain class of harmonic univalent functions2
Toeplitz and Cesàro-type operators on homogeneous Siegel domains1
Liouville theorem for Hénon-type bi-harmonic Choquard equation in ℝ 51
Improvement of non-integrated defect relation for meromorphic maps from Kähler manifolds1
Optimal Liouville type theorems for porous medium systems with sources1
Entire function and its linear C-shift operator sharing a set of small functions CM1
Unbounded components of positive radial solutions for semilinear indefinite Neumann problems1
Frequent hypercyclicity of the tensor products of composition operators on weighted Dirichlet spaces1
Multiple solutions for an equation with weights and a nonlinearity with arbitrary growth1
Conjugacy classification of bicomplex Möbius transformations1
The corona theorem for bounded analytic functions in QK type spaces1
Existence results for an anisotropic variable exponent Kirchhoff-type problem1
On the theory of generalized analytic Vekua functions with a singular point1
Extremal problems of Turán-type involving the location of all zeros of a polynomial1
Iterated Robin problem, the case of various parameters1
Ground state solution for a class of fractional Schrödinger–Poisson system with strong singularity1
Composition operator on F(p,q,s) spaces in the unit ball of1
p-harmonic 1-forms on totally real submanifolds in complex space forms1
Normalized solutions for the fractional P -Laplacian equation with exponential critical growth1
The Fekete and Szegö inequality for a class of holomorphic mappings on the unit polydisk in and its application1
The nonlinear Riemann boundary value problem with square roots for Lyapunov open curve in variable exponent spaces1
-selfadjoint product of a composition operator and a maximal differential operator on the Fock space1
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
Eigenvalues associated with the Khon-Spencer p (⋅)-biharmonic operator on the Heisenberg group1
Boundedness of weighted Bergman projection with several complex variables1
Composition operators on Dirichlet spaces over the half-plane1
A class of fourth-order problems with Leray–Lion operators and two control parameters1
Nonlocal Dirichlet problems for anisotropic Schrödinger-type potential systems with variable exponents and critical nonlinearities1
Localization of Forelli's theorem1
Analyticity of parametric elliptic eigenvalue problems and applications to quasi-Monte Carlo methods1
On fractional Choquard–Kirchhoff equations with subcritical or critical nonlinearities1
Bohr's phenomenon for certain classes of analytic functions1
Embedding model and de Branges-Rovnyak spaces in Dirichlet spaces1
Some Malmquist type theorems on higher-order partial differential equations with delays1
Series representations for generalized harmonic functions in the case of three parameters1
Existence and multiplicity of sign-changing solutions for quasilinear Schrödinger–Poisson system1
Boundedness of intrinsic square functions and commutators on generalized central Morrey spaces1
The Ptolemy–Alhazen problem and quadric surface mirror reflection1
Some refinements of the Fekete–Szegö inequalities for a class of biholomorphic mappings1
On holomorphic curves into complex projective varieties1
Multiple solutions for the logarithmic fractional Kirchhoff equation with critical or supercritical nonlinearity1
Global structure of positive solutions for a singular quasilinear elliptic problem1
Polyharmonic Kirchhoff-type problem without Ambrosetti–Rabinowitz condition1
Hölder continuity of solutions of the Dirichlet problem in pseudoconvex domains1
Fractional elliptic reaction-diffusion systems with coupled gradient terms and different diffusion1
Nonhomogeneous singular problems with convection1
Orthogonal projections in the local Dirichlet spaces1
The effects of toxin and mutual interference among zooplankton on a diffusive plankton–fish model with Crowley–Martin functional response1
Approximation of monogenic functions by hypercomplex Ruscheweyh derivative bases1
Instability of algebraic standing waves for nonlinear Schrödinger equations with triple power nonlinearities1
Existence and local uniqueness of solutions for hénon problems with bi-parameters perturbation1
Indefinite Schrödinger equation with nonlinearity sublinear at zero1
Noetherian solvability and explicit solution of a singular integral equation with weighted Carleman shift in Besov spaces1
Homogenization and corrector result of optimal control problem for Stokes system0
Existence and multiplicity of solutions for a class Kirchhoff–Boussinesq equations with nonlocal term in ℝ N 0
A parametric singular (p,q) -equation with convection0
Ground states for nonlinear Schrödinger equation with sign-changing and vanishing potential0
Second main theorem for holomorphic maps from complex disks with moving hyperplanes0
Infinitely many sign-changing solutions for a kind of planar Choquard equation with critical exponential growth0
On the best Sobolev inequalities on Riemannian manifolds with boundaries0
On degenerate fractional Schrödinger–Kirchhoff–Poisson equations with upper critical nonlinearity and electromagnetic fields0
Strongly elliptic differential-difference equations with mixed boundary conditions in a bounded domain0
A note on the boundedness of the local index of quasiregular mappings0
g −Loewner chain associated with Muir-type extension operator0
Green's function of one problem for the 3-harmonic equation in a ball0
Nonexistence of anti-symmetric solutions for an elliptic system involving fractional Laplacian0
Non-radial weights and polynomial approximation in spaces of analytic functions0
Symmetry of positive solutions for a weighted multilinear integral system0
A different modelling of complex Hasimoto map for pseudo-null curves via Bishop frame0
A note on unique continuation of eigenfunctions for p -Laplacian operator in a bounded domain Ω in ℝ n 0
Existence and multiplicity of solutions to N-Kirchhoff equations with critical exponential growth and a perturbation term0
A variant of symmetric mountain pass theorem and its applications for generalized quasi-linear elliptic equations0
Biharmonic Steklov problem in half-space0
On the Hadamard multiplication theorem in ℂ n 0
Partial regularity for a nonlinear discontinuous sub-elliptic system with drift on the Heisenberg group: the superquadratic case0
Multiple solutions for Kirchhoff–Schrödinger problems of fractional p -Laplacian involving Sobolev–Hardy critical exponent0
A new property of arbitrary complex polynomials0
On Nirenberg's non-embeddable CR structure0
Nehari manifold for singular fractionalp(x,.)-Laplacian problem0
Generalized Riesz transforms related to uniformly elliptic operators with nonnegative potentials0
Integral problem for abstract elliptic equations and applications0
A new explicit complete Kähler metric on ℂ n 0
Infinitely many nodal solutions for a modified Kirchhoff type equation0
On the cohomologies of the de Rham complex over weighted isotropic and anisotropic Hölder spaces0
The size of the set on which an entire function is large0
A study of a critical hypoelliptic problem in a stratified Lie group0
Curvature estimates for minimal surfaces associated with harmonic mappings having nonzero pole0
The *-product of domains in several complex variables0
Multiplicity and concentration results for fractional Kirchhoff equation with magnetic field0
Ground states of the inhomogeneous nonlinear fractional Schrödinger-Poisson equations0
Existence results for Schrödinger–Poisson–Slater equation with Coulomb critical exponent0
On the solvability of some systems of integro-differential equations with and without a drift0
Ground state solutions for Choquard equations with Bessel potential0
The concentration-compactness principle for fractional Orlicz-Sobolev spaces0
On cylindric homeomorphisms in space0
Some existence results of solitary waves for coupled Klein–Gordon and Born–Infeld equations0
Existence of nontrivial solitary wave for a generalized Kadomtsev–Petviashvili equation with the potential0
On a fractional (p,q) -Laplacian equation with critical nonlinearities0
New multiplicity results for a class of nonlocal equation with steep potential well0
Holomorphic maps from complex discs intersecting hypersurfaces of projective varieties0
Nonexistence, existence and symmetry of normalized ground states to Choquard equations with a local perturbation0
Normalized solutions for L 2 -subcritical Choquard equation with different types of potentials0
Liouville theorem of the regional fractional Lane–Emden equations0
Heat coefficients for magnetic Laplacians on the complex projective space P n (ℂ)0
An existence result for a fractional elliptic system involving (p,q)-Laplacian and critical exponent0
Harmonic approximations of analytic functions0
Composition operators between Bergman spaces on infinite type convex domains in ℂ 20
Weighted composition operators on harmonic Fock spaces0
A note on the Brody curves0
Functions with no unbounded Fatou components0
Refined Bohr inequality for functions in and in complex Banach spaces0
Existence of solution for the ( p, q )-fractional Laplacian equation with nonlocal Choquard reaction and exponential growth0
A Hörmander–Fock space0
Weak solutions for a ( p ,  q )-Laplacian systems with two parameters on PCF-fractal domain0
On the singular problem involving fractional g -Laplacian0
Integral representations for hyperbolic harmonic function in the clifford algebra Cln+1,00
Complex coupled dispersionless equations in Minkowski 3-space0
On continuous solutions of the homogeneous Beltrami equation with a polar singularity0
Localization operators associated with the windowed Opdam–Cherednik transform on modulation spaces0
The dipolar Schramm-Loewner equation for finitely many slits0
Normalized solutions of two-component nonlinear Schrödinger equations with linear couples0
Ground states solutions for a modified generalized Choquard fractional Schrödinger equation0
Oblique derivative problem in a plane sector for strong quasi-linear elliptic equation with p -Laplacian0
On factorization of multivectors in Cl(3,0), Cl(1,2) and Cl(0,3), by exponentials and idempotents0
Fractional Musielak spaces: study of nonlocal elliptic problem with Choquard-logarithmic nonlinearity0
Existence of solutions for a class of quasilinear elliptic equations involving the p -Laplacian0
Singular elliptic problem with super-quadratic growth in the gradient0
Riemann-Hilbert problem associated with an integrable generalized mixed nonlinear Schrödinger equation0
Complex boundary value problems on a circular triangle0
Positive weak solutions of uniformly elliptic inequalities and applications to population models0
Dirichlet problem for higher-order equations in a ring domain0
On compact classes of Beltrami solutions and Dirichlet problem0
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
Nonexistence of solutions to higher order evolution inequalities with nonlocal source term on Riemannian manifolds0
On the higher order Kobayashi pseudometric0
Improvements to the Montel–Carathéodory theorem for families of -valued holomorphic curves0
Infinitely many solutions for problems involving -Laplacian and -biharmonic operators0
Multiplicity of normalized solutions for nonautonomous fractional Schrödinger equations with critical nonlinearities0
The double obstacle problem in generalized Sobolev spaces with Hardy potential0
Three boundary value problems of the Cauchy–Riemann equation in the Eclipse domain0
Ground state solution for a quasi-linear Schrödinger system with logarithmic perturbation0
Solvability in the sense of sequences for some linear and nonlinear Fredholm operators with the logarithmic Laplacian0
The uniqueness solution for a fractional φ -Laplacian Dirichlet problem and its spectrum0
Existence of positive solutions to the fractional Kirchhoff-type problems involving steep potential well0
The d-boundedness of the Bergman metric on a kind of Hartogs domain0
Plemelj formula of inframonogenic functions and their boundary value problems0
Multiplicity of solutions for a scalar field equation involving a fractional p -Laplacian with general nonlinearity0
Symmetry and monotonicity of positive solutions for a system involving fractional p&q-Laplacian in a ball0
A class of quasilinear elliptic equations with singular and exponential terms0
Harmonic Green functions for finite parqueting-reflection domains0
Singular solutions of a characteristic Goursat problem with discontinuous data0
Boundary behavior of the squeezing function near a global extreme point0
One solution for Steklov problems involving nonstandard growth conditions of Kirchhoff type0
Nonlinear polyharmonic boundary value problems in the punctured unit ball0
On a case of -linear conjugation problem on the unit circle0
Bounds for zeros of Collatz polynomials, with necessary and sufficient strictness conditions0
Degenerate elliptic problem with a singular nonlinearity0
Normalized solutions of planar Schrödinger–Poisson systems involving Moser–Trudinger critical growth0
Special issue in honour of Vladimir S. Rabinovich0
Riemann boundary value problem on a spiral0
Oversampling on a class of symmetric regular de Branges spaces0
Existence of ground state solution for semilinear -Laplace equation0
Correction0
Existence of positive solution for a class of generalised Schrödinger equation with supercritical growth0
Ground state solutions for some Schrödinger–Bopp–Podolsky systems with asymptotically periodic potential0
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