Complex Variables and Elliptic Equations

Papers
(The TQCC of Complex Variables and Elliptic Equations is 1. 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
Bound states for fractional Kirchhoff equations with critical growth7
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
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
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 Nehari manifold approach for singular equations involving the p(x)-Laplace operator5
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
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
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
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
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
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
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
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
Orthogonal projections in the local Dirichlet spaces1
Nonhomogeneous singular problems with convection1
Instability of algebraic standing waves for nonlinear Schrödinger equations with triple power nonlinearities1
Approximation of monogenic functions by hypercomplex Ruscheweyh derivative bases1
The effects of toxin and mutual interference among zooplankton on a diffusive plankton–fish model with Crowley–Martin functional response1
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
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
Extremal problems of Turán-type involving the location of all zeros of a polynomial1
On the theory of generalized analytic Vekua functions with a singular point1
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
On fractional Choquard–Kirchhoff equations with subcritical or critical nonlinearities1
Analyticity of parametric elliptic eigenvalue problems and applications to quasi-Monte Carlo methods1
Localization of Forelli's theorem1
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
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