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 2021-04-01 to 2025-04-01.)
ArticleCitations
On dual transform of fractional Hankel transform20
The size of the set on which an entire function is large15
Compressive stress relaxation behavior of articular cartilage with MHD effects13
An inverse scattering problem for eigenparameter-dependent discrete Dirac system with Levinson formula12
Integral representations for hyperbolic harmonic function in the clifford algebra Cln+1,012
An inverse problem for an elliptic equation in a spherical domain11
Finite zero-based invariant subspaces of the shift operator on reproducing kernel spaces9
Hardy-complementary local Morrey spaces8
Sign-changing solitary waves for a quasilinear Schrödinger equation with general nonlinearity8
Arbitrary order Mittag-Leffler function with four parameters: properties and fractional operators7
Solutions of linear differential equations in Bergman–Morrey type spaces7
Rayleigh–Faber–Krahn and Hong–Krahn–Szegö-type inequalities for the absolute value of the heat operator7
Bound states for fractional Kirchhoff equations with critical growth6
Toeplitz operators on the Hardy space with generalized pseudo-homogeneous symbols6
On Hölder continuity to a function class with nonstandard growth condition6
Singular solutions of a characteristic Goursat problem with discontinuous data6
Norm estimates for a class of operators related to the Bergman projection6
Existence of positive solutions to nonlinear integral equations on the Heisenberg group6
On Nirenberg's non-embeddable CR structure6
Embedding model and de Branges-Rovnyak spaces in Dirichlet spaces5
Polyanalytic Neumann-n problem in the unit disk5
Existence of solution for magnetic Schrödinger equation with the Neumann boundary condition5
Cauchy problem in Gevrey spaces5
Solutions for a nonlinear equation with competing operators and supercritical exponential growth5
The Cauchy integral formula for ( p , q )-monogenic functions with α -weight in superspace5
Quaternionic slice regular functions with some sphere bundles5
Multiplicity of solutions for the stationary quantum Zakharov system with combined nonlinearities5
Submanifolds of some Hartogs domain and the complex Euclidean space4
Chirality notions and electromagnetic scattering: a mini review4
Existence of solutions for fractional Kirchhoff–Schrödinger–Poisson equations via Morse theory4
Nonexistence of anti-symmetric solutions for an elliptic system involving fractional Laplacian4
Landau's theorem for harmonic Bloch functions on simply connected domains4
One solution for Steklov problems involving nonstandard growth conditions of Kirchhoff type4
Blow-up phenomena for an inhomogeneous p -Laplacian parabolic differential inequality in the half-space4
Existence of positive solution for the Choquard equation in exterior domain4
Positive solutions to quasilinear p(y )-Laplacian equation with Robin boundary condition4
Positive solution for a class of Choquard equations with Hardy–Littlewood–Sobolev critical exponent in exterior domains4
A generalization of squeezing function4
Localization operators associated with the windowed Opdam–Cherednik transform on modulation spaces4
Indefinite Schrödinger equation with nonlinearity sublinear at zero4
Characterizations of self-adjointness, normality of pseudo-differential operators on homogeneous space of compact groups3
The Nehari manifold approach for Fractional a (.)-Laplacian problem: the Nehari manifold approach3
Intersection properties for singular radial solutions of quasilinear elliptic equations with Hardy type potentials3
The Bohr-type operator on analytic functions and sections3
Elliptic equations involving supercritical Sobolev growth with mixed Dirichlet-Neumann boundary conditions3
Existence and concentration of positive solutions for a fractional Schrödinger logarithmic equation3
Multiple positive solutions for Kirchhoff-type equations involving critical-concave nonlinearities3
Factorization of the Fock–Sobolev space3
Existence of solutions to some quasilinear degenerate elliptic systems when the datum has an intermediate degree of integrability3
Critical fractional p -Kirchhoff type problem with a generalized Choquard nonlinearity and magnetic field3
Existence and nonexistence results of polyharmonic boundary value problems with supercritical growth3
Asymptotics of eigenvalues for Toeplitz matrices with rational symbols that have a minimum of the 4th order3
A lower estimate for weak-type Fourier multipliers3
Existence and multiplicity of solutions for m -polyharmonic Kirchhoff problems without Ambrosetti–Rabinowitz conditions3
Sign-changing solutions for modified Schrödinger–Poisson system with general nonlinearity3
The perturbation method for the skew-symmetric strongly elliptic systems of PDEs3
The Taylor expansion of weighted monogenic functions3
Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains3
The pointwise limit of holomorphic functions3
On Fermat-type complex equations concerning extended Hahn difference operator3
Nonexistence of positive solutions to a system of elliptic inequalities involving the Grushin operator3
Lipschitz type characterizations for Bergman-Orlicz spaces of eigenfunctions on hyperbolic space3
On the total length of Gamma-lines for rational functions3
A class of fourth-order problems with Leray–Lion operators and two control parameters3
Boundary conjugation problem for piecewise analytic functions in Besov spaces3
Families of homomorphic mappings in the polydisk3
L -functions and meromorphic functions satisfying the same Riemann-type functional equation and sharing sets2
Existence of three weak solutions for fourth-order Leray–Lions problem with indefinite weights2
Existence results for an anisotropic variable exponent Kirchhoff-type problem2
Patterns with prescribed numbers of critical points on topological tori2
On the generalized Farwig problem for a polyharmonic equation2
Existence and local uniqueness of solutions for hénon problems with bi-parameters perturbation2
On fractional Choquard–Kirchhoff equations with subcritical or critical nonlinearities2
A mean value criterion for plurisubharmonic functions2
Maximal ideals in a bicomplex algebra and bicomplex Gelfand–Mazur theorem2
On a biharmonic choquard equation involving critical exponential growth2
d-balanced squeezing function2
Monotonicity of solutions for a class of uniformly elliptic nonlocal Bellman systems2
Existence and multiplicity of solutions for resonant-superlinear problems2
Existence results for variable-order fractional Kirchhoff equations with variable exponents2
On Bergman-Orlicz and Campanato-Orlicz spaces of hyperbolic harmonic functions on the real unit ball2
Oblique derivative problem in a plane sector for strong quasi-linear elliptic equation with p -Laplacian2
Closed range integral operators on Hardy, BMOA and Besov spaces2
Complex manifolds of Sobolev mappings and a Hartogs-type theorem in loop spaces2
Nonlinear Riemann type problems associated to Hermitian Helmholtz equations2
The Dirichlet condition for the conformable fractional sub-elliptic equation on the Heisenberg group2
The nonlinear superposition operator on harmonic fock spaces2
Generalized elementary functions2
Existence of solutions to Kirchhoff type equations involving the nonlocal p1& … &pm fractional Laplacian with critical Sobolev-Hardy exponent2
Systems of simultaneous differential containments and superordinations in the complex plane2
A nonvariational form of the Neumann problem for the Poisson equation2
Surjectivity of the ̄∂-operator between weighted spaces of smooth vector-valued functions2
Instability of algebraic standing waves for nonlinear Schrödinger equations with triple power nonlinearities2
Existence of solutions for anisotropic parabolic Ni-Serrin type equations originated from a capillary phenomena with nonstandard growth nonlinearity1
Spectral analysis of the impulsive quadratic pencil of Schrödinger operators with spectral singularities1
Degenerate elliptic problem with a singular nonlinearity1
Two remarks on the Poincaré metric on a singular Riemann surface foliation1
Some uncertainty principles for the continuous voice transform1
Regularity results for an anisotropic nonlinear Dirichlet problem1
Corona and Wolff theorems for the multiplier algebra of Besov–Morrey spaces1
A class of elliptic inclusion in fractional Orlicz–Sobolev spaces1
A nonlocal elliptic system with nonlinear singular terms1
Existence of ground state solution for semilinear -Laplace equation1
Positive solution to singular semilinear elliptic problems1
Mixed local and nonlocal elliptic equation with singular and critical Choquard nonlinearity1
A non-local scalar field problem: existence, multiplicity and asymptotic behavior1
Multiple solutions for Kirchhoff–Schrödinger problems of fractional p -Laplacian involving Sobolev–Hardy critical exponent1
A generalized CR equation with isolated singularities1
Singular elliptic problem with super-quadratic growth in the gradient1
Liouville-type theorems for a system of fractional Laplacian equations1
Invariance and existence analysis of viscoelastic equations with nonlinear damping and source terms on corner singularity1
A sufficient condition for Lp regularity of the Berezin transform1
Sign-changing solutions for a modified quasilinear Kirchhoff–Schrödinger–Poisson system via perturbation method1
Multiplicity of normalized solutions to biharmonic Schrödinger equation with mixed nonlinearities1
Slice quaternionic analysis in two variables1
Bohr's phenomenon for certain classes of analytic functions1
Tikhonov regularisation for the Weierstrass transform associated with the Kontorovich–Lebedev transform1
Generalized uncertainty principles associated with the quaternionic offset linear canonical transform1
Runge property and approximation by complete systems of solutions for strongly elliptic equations1
Existence of solutions for singular elliptic equations with mixed boundary conditions1
Toeplitz operators on Bergman spaces with exponential weights1
Symmetry and monotonicity of positive solutions for a system involving fractional p&q-Laplacian in a ball1
p ( x )-biharmonic equations involving Leray–Lions type operators with Hardy potentials1
Product-type operators on Banach spaces of analytic functions on the upper half-plane1
On a class of degenerate quasilinear elliptic equations with zero mass1
Compact embeddings for Sobolev spaces of two variable exponents1
Homogenization and corrector result of optimal control problem for Stokes system1
Existence of solution for a nonlocal elliptic problem with a Robin-type data1
Growth of meromorphic solution related to linear difference equations and value sharing1
Multiple solutions for the fractional Schrödinger–Poisson system with concave–convex nonlinearities1
Trudinger's inequality for Riesz potentials on Musielak-Orlicz spaces over metric measure spaces1
Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups1
The double obstacle problem in generalized Sobolev spaces with Hardy potential1
Embedding and Volterra integral operators from Dirichlet-Morrey spaces into general function spaces1
Riemann–Hilbert problem on a torus and a vortex patch in a wedge1
Mountain pass solution to a perturbated Hardy–Sobolev equation involving p-Laplacian on compact Riemannian manifolds1
On products of inner radii of non-overlapping domains containing certain segment points1
Strongly elliptic differential-difference equations with mixed boundary conditions in a bounded domain1
Nonlinear concave-convex problems with indefinite weight1
Super-rigidity for holomorphic Segre maps1
Iterated Robin problem, the case of various parameters1
Multiplicity and concentration results for fractional Kirchhoff equation with magnetic field1
Estimating potential functions with applications to elliptic problems in half space1
Two-sided fractional Clifford–Fourier transformation1
The central role of Montel's theorem in complex function theory1
The Nehari manifold approach for singular equations involving the p(x)-Laplace operator1
The weighted reproducing kernels of the Reinhardt domain1
Sign-changing solutions for a weighted Kirchhoff problem with exponential growth non-linearity1
On critical nonlinear boundary problems for p-harmonic functions on Riemannian manifolds1
p -harmonic functions with nonlinear Neumann conditions on the sphere and measure data1
Second main theorem for holomorphic maps from complex disks with moving hyperplanes1
Existence and multiplicity of solutions for generalized quasilinear Schrödinger equations1
On universal quotient Blaschke products1
Solutions for quasilinear Schrödinger equation on involving indefinite potentials1
Nonexistence of solutions to higher order evolution inequalities with nonlocal source term on Riemannian manifolds1
Oversampling on a class of symmetric regular de Branges spaces1
Conjugacy classification of bicomplex Möbius transformations1
Weighted estimates for θ-type Calderón-Zygmund operator and its commutator on metric measure spaces1
A necessary and sufficient condition for a TM system to be an unconditional basis1
Meromorphic solutions of one certain type of non-linear complex differential equation1
On Fredholm solvability and on the index of the generalized Neumann problem for an elliptic equation1
Pohozaev-type identities for a pseudo-relativistic Schrödinger operator and applications1
Ground states of the inhomogeneous nonlinear fractional Schrödinger-Poisson equations1
Clark measures and de Branges–Rovnyak spaces in several variables1
Ground states of nonlinear Schrödinger systems with mixed couplings: the critical case0
The *-product of domains in several complex variables0
Closed-form solutions for several classes of singular integral equations with convolution and Cauchy operator0
Weinstein-type Segal–Bargmann transform and its applications to partial differential equations0
On mixed norm holomorphic grand and small spaces0
An extension theorem for multi-regular function in high dimensional Clifford analysis0
Existence of positive solution for a class of generalised Schrödinger equation with supercritical growth0
Existence of solutions for a class of quasilinear Schrödinger equation with a Kirchhoff-type0
Correction0
Liouville-type results for semilinear inequalities involving the Dunkl Laplacian operator0
Pointwise multiplication operators with closed range on the Bergman spaces Lap, H∞ and weighted Banach spaces0
Improved Hardy inequalities on Riemannian manifolds0
The Schwarz inequalities at the boundary point of the Hartogs triangles0
Infinitely many sign-changing solutions for a kind of planar Choquard equation with critical exponential growth0
Existence of normalized solutions for a fractional Kirchhoff system0
Spectrum of the Hilbert transform on Lorentz spaces L p,q 0
Positive solutions for a relativistic nonlinear Schrödinger equation with critical exponent and Hardy potential0
Infinitely many solutions for a doubly nonlocal fractional problem involving two critical nonlinearities0
Green's function of one problem for the 3-harmonic equation in a ball0
Eigenoscillations of the Maxwell equation in a domain with oscillating boundary0
Bounded variation solution to 1-Laplacian Kirchhoff type problem in ℝN0
Riemann boundary value problem on a spiral0
Harmonic approximations of analytic functions0
Improved Bohr inequalities for certain class of harmonic univalent functions0
On the solvability of some systems of integro-differential equations with transport and concentrated sources0
Boundary behavior of the squeezing function near a global extreme point0
The sharp refined Bohr–Rogosinski inequalities for certain classes of harmonic mappings0
Liouville theorem of the regional fractional Lane–Emden equations0
Global bifurcation for N-dimensional p-Laplacian problem and its applications0
A parametric singular (p,q) -equation with convection0
Liouville theorem for Hénon-type bi-harmonic Choquard equation in0
Homogenization of the parabolic equation with periodic coefficients at the edge of a spectral gap0
Dominating sets and reverse Carleson measures on exponentially weighted Bergman spaces0
Oscillation criteria of Kamenev-type for non-linear partial differential equations0
Existence of solution for a supercritical nonlinear Schrödinger equation0
Existence results for a class of fourth-order elliptic equations of p ( x )-Kirchhoff type0
Bohr's phenomenon for holomorphic and harmonic functions with lacunary series in complex Banach spaces0
Some existence results of solitary waves for coupled Klein–Gordon and Born–Infeld equations0
Ground states solutions for a modified generalized Choquard fractional Schrödinger equation0
Eigenvalues associated with the Khon-Spencer p (⋅)-biharmonic operator on the Heisenberg group0
Extremal problems of Turán-type involving the location of all zeros of a polynomial0
Harmonic Green functions for finite parqueting-reflection domains0
Lp-bounds for Fourier integral operators on the torus0
Infinitely many solutions for problems involving -Laplacian and -biharmonic operators0
Symmetry of positive solutions for a weighted multilinear integral system0
Mountain-pass type solutions for the Chern-Simons-Schrödinger equation with critical exponential growth0
Sharp critical exponents for nonlinear equations with the fractional Laplacian0
Analyticity of parametric elliptic eigenvalue problems and applications to quasi-Monte Carlo methods0
A free boundary problem for discontinuous semilinear elliptic equations in convex ring0
Regularity of complexified hyperbolic equations with integral conditions0
Global structure of positive solutions for a singular quasilinear elliptic problem0
New multiplicity results for a class of nonlocal equation with steep potential well0
Special issue in honour of Vladimir S. Rabinovich0
Existence of least energy sign-changing solution for a class of fractional p & q -Laplacian problems with potentials vanishing at infi0
Existence of nontrivial solutions for fractional Klein–Gordon equation coupled with Born–Infeld theory with critical exponents0
Liouville-type results for fully nonlinear subelliptic equations on the Heisenberg group0
Composition operators on Dirichlet spaces over the half-plane0
On the inverse problem and Sobolev estimates of the generalized X-ray transform0
Solvability of nonlocal Dirichlet problem for generalized Helmholtz equation in a unit ball0
Composition operators over weighted Bergman spaces of Dirichlet series0
The second Hankel determinant for starlike and convex functions of order alpha0
Homogenization of a boundary optimal control problem governed by Stokes equations0
Orthogonal projections in the local Dirichlet spaces0
A Hopf type lemma for nonlocal pseudo-relativistic equations and its applications0
Unbounded components of positive radial solutions for semilinear indefinite Neumann problems0
A different modelling of complex Hasimoto map for pseudo-null curves via Bishop frame0
Existence of solutions for anisotropic Kirchhoff–Boussinesq equations with exponential growth0
On a left-α-ψ-hyperholomorphic Bergman space0
The corona theorem for bounded analytic functions in QK type spaces0
Viscosity solutions to complex first eigenvalue equations0
On the solvability of some systems of integro-differential equations with and without a drift0
Three boundary value problems of the Cauchy–Riemann equation in the Eclipse domain0
A new property of arbitrary complex polynomials0
A uniqueness theorem for holomorphic curves on annulus sharing hypersurfaces0
Approximation of monogenic functions by hypercomplex Ruscheweyh derivative bases0
Riemann boundary value problems on the Archimedean spiral0
On compact classes of Beltrami solutions and Dirichlet problem0
Existence of solutions to a critical Kirchhoff equation with logarithmic perturbation0
Quasiconformal harmonic graphs0
Radial solutions for a p-Laplace equation involving nonlinearity terms0
On the singular problem involving fractional g -Laplacian0
W1,γ(·)-estimate to non-uniformly elliptic obstacle problems with borderline growth0
Fractional Musielak spaces: study of nonlocal elliptic problem with Choquard-logarithmic nonlinearity0
A new explicit complete Kähler metric on ℂ n 0
Small Hankel operators between Bergman-type spaces in the unit ball0
Approximation theorems for Pascali systems0
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