Complex Variables and Elliptic Equations

Article	Citations
Existence and multiplicity results forp(⋅)&q(⋅) fractional Choquard problems with variable order	20
Generalized uncertainty principles associated with the quaternionic offset linear canonical transform	17
Degenerate elliptic problem with a singular nonlinearity	15
Radial solutions for a p-Laplace equation involving nonlinearity terms	12
Half-plane differential-difference elliptic problems with general-kind nonlocal potentials	10
Triangular ratio metric in the unit disk	10
The Nehari manifold approach for singular equations involving the p(x)-Laplace operator	9
On compact classes of Beltrami solutions and Dirichlet problem	8
The second Hankel determinant for starlike and convex functions of order alpha	8
Fredholm property and essential spectrum of 3-D Dirac operators with regular and singular potentials	8
Improved Bohr inequalities for certain class of harmonic univalent functions	7
The Fekete and Szegö inequality for a class of holomorphic mappings on the unit polydisk in and its application	7
Correctness of the definition of the Laplace operator with delta-like potentials	6
On factorization of multivectors in Cl(3,0), Cl(1,2) and Cl(0,3), by exponentials and idempotents	6
On the comparison of the Fridman invariant and the squeezing function	6
Nonexistence, existence and symmetry of normalized ground states to Choquard equations with a local perturbation	6
Toeplitz and Cesàro-type operators on homogeneous Siegel domains	6
Nehari manifold for singular fractionalp(x,.)-Laplacian problem	6
Regularity results for degenerate parabolic equations with L m data	6
Least energy sign-changing solutions of fractional Kirchhoff–Schrödinger–Poisson system with critical and logarithmic nonlinearity	5
Variational eigenvalues of the fractional g-Laplacian	5
A different modelling of complex Hasimoto map for pseudo-null curves via Bishop frame	5
Fractional Klein-Gordon equation with singular mass. II: hypoelliptic case	5
Nonexistence of solutions to higher order evolution inequalities with nonlocal source term on Riemannian manifolds	5
Complex symmetric Toeplitz operators on the weighted Bergman space	5

An existence result for singular nonlocal fractional Kirchhoff–Schrödinger–Poisson system	5
Symmetry and monotonicity of positive solutions for a Choquard equation with the fractional Laplacian	5
Weighted estimates for θ-type Calderón-Zygmund operator and its commutator on metric measure spaces	5
An efficient method for singular integral equations of non-normal type with two convolution kernels	5
The sharp refined Bohr–Rogosinski inequalities for certain classes of harmonic mappings	4
Approximation of monogenic functions by hypercomplex Ruscheweyh derivative bases	4
On the delay differential variational inequalities of parabolic–elliptic type	4
Computation of eigenvalues and eigenfunctions of a non-local boundary value problem with retarded argument	4
Existence and concentration of ground state solutions for critical Kirchhoff-type equation with steep potential well	4
Solvability of nonlocal Dirichlet problem for generalized Helmholtz equation in a unit ball	4
Global bifurcation for N-dimensional p-Laplacian problem and its applications	4
Geometric estimates on weighted p-fundamental tone and applications to the first eigenvalue of submanifolds with bounded mean curvature	4
Symmetry and monotonicity of positive solutions for a system involving fractional p&q-Laplacian in a ball	4
Plemelj formula of inframonogenic functions and their boundary value problems	4
Existence of solution for a supercritical nonlinear Schrödinger equation	4
Existence of solutions for a class of quasilinear Schrödinger equation with a Kirchhoff-type	4
On a double phase problem with sublinear and superlinear nonlinearities	4
Semilinear fractional-order evolution equations of Sobolev type in the sectorial case	4
Existence of three weak solutions for fourth-order Leray–Lions problem with indefinite weights	3
A sufficient condition for Lp regularity of the Berezin transform	3
Existence results for an anisotropic variable exponent Kirchhoff-type problem	3
On dual transform of fractional Hankel transform	3
Existence and multiplicity of solutions to N-Kirchhoff equations with critical exponential growth and a perturbation term	3
Existence of positive solution for the Choquard equation in exterior domain	3
Smoothness of solutions to the mixed problem for elliptic differential-difference equation in cylinder	3
Homogenization of the parabolic equation with periodic coefficients at the edge of a spectral gap	3
Homogenization of a boundary optimal control problem governed by Stokes equations	3
Bendlet transforms: a mathematical perspective	3
The Fourier type expansions on tubes	3
Finite Lipschitzness of regular solutions to nonlinear Beltrami equation	3
Existence of solutions to Kirchhoff type equations involving the nonlocal p1& … &pm fractional Laplacian with critical Sobolev-Hardy exponent	3
Pohozaev-type identities for a pseudo-relativistic Schrödinger operator and applications	3
d-balanced squeezing function	3
Existence and multiplicity results for critical anisotropic Kirchhoff-type problems with nonlocal nonlinearities	3
Competing Kohn–Spencer Laplacian systems with convection in non-isotropic Folland–Stein space	3
Quaternionic slice regular functions with some sphere bundles	3
A generalization of the Bohr inequality and its applications	3
On mixed norm holomorphic grand and small spaces	3
Infinitely many solutions for a doubly nonlocal fractional problem involving two critical nonlinearities	3
The local behaviour of open, light mappings satisfying generalized modular inequalities	3
Clark measures and de Branges–Rovnyak spaces in several variables	3
Entire function and its linear C-shift operator sharing a set of small functions CM	3
Weighted holomorphic mixed norm spaces in the unit disc defined in terms of Fourier coefficients	3
Runge property and approximation by complete systems of solutions for strongly elliptic equations	3
Two-sided fractional Clifford–Fourier transformation	3
Schrödinger equations involving fractional p-Laplacian with supercritical exponent	3
The Bohr-type operator on analytic functions and sections	3
Koebe and Caratheódory type boundary behavior results for harmonic mappings	3
Infinitely many solutions for problems involving -Laplacian and -biharmonic operators	3
Semi-stable holomorphic vector bundles over generalized Kähler manifolds	3

G-monogenic mappings in a three-dimensional noncommutative algebra	3
Norm estimates of the partial derivatives and Schwarz lemma for α -harmonic functions	3
Solvability of some integro-differential equations with concentrated sources	3
A generalized CR equation with isolated singularities	2
Meromorphic solutions of one certain type of non-linear complex differential equation	2
On a nonlinear elliptic system involving the (p(x),q(x))-Laplacian operator with gradient dependence	2
Two remarks on the Poincaré metric on a singular Riemann surface foliation	2
Strongly nonlinear elliptic problem with measure data in Musielak-Orlicz spaces	2
Sliding method for fully nonlinear fractional order equations	2
Chirality notions and electromagnetic scattering: a mini review	2
Positive solutions for Kirchhoff equation in exterior domains with small Sobolev critical perturbation	2
Existence of solution for a system involving a singular-nonlocal operator, a singularity and a Radon measure	2
Ground states of nonlinear Schrödinger systems with mixed couplings: the critical case	2
Complex linear differential equations with solutions in the H2K spaces	2
On a class of sublinear operators in variable exponent Morrey-type spaces	2
On sign-changing solutions for quasilinear Schrödinger-Poisson system with critical growth	2
High energy asymptotics for the perturbed anharmonic oscillator	2
Product-type operators on Banach spaces of analytic functions on the upper half-plane	2
Slice quaternionic analysis in two variables	2
Smooth approximation of quaternionic plurisubharmonic functions	2
Convolutions of planar harmonic strip mappings	2
Submanifolds of some Hartogs domain and the complex Euclidean space	2
Toeplitz operators on Bergman spaces with exponential weights	2
Positive solution for a class of Choquard equations with Hardy–Littlewood–Sobolev critical exponent in exterior domains	2
On the tangential gradient of the kernel of the double layer potential	2
Small Hankel operators between Bergman-type spaces in the unit ball	2
On a left-α-ψ-hyperholomorphic Bergman space	2
The swallowtail integral in the highly oscillatory region III	2
Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators	2
Distortion results for a certain subclass of biholomorphic mappings in ℂn	2
An overview of some works of S.L. Sobolev	2
Difference of quaternionic weighted composition operators on slice regular Fock spaces	2
Sign-changing solutions for modified Schrödinger–Poisson system with general nonlinearity	2
A class of elliptic inclusion in fractional Orlicz–Sobolev spaces	2
Norm estimates for a class of operators related to the Bergman projection	2
Monotonicity of solutions for a class of uniformly elliptic nonlocal Bellman systems	2
Joint Carleson measure for the difference of composition operators on the polydisks	2
Ingham-type theorems for the Dunkl Fourier transforms	2
Moduli inequalities for W1n-1,loc-mappings with weighted bounded (q, p)-distortion	2
Existence of least energy sign-changing solution for a class of fractional p & q -Laplacian problems with potentials vanishing at infi	2
On bicomplex third-order Jacobsthal numbers	2
Infinitesimal bendings for classes of two-dimensional surfaces	2
Existence and multiplicity of solutions for a quasilinear double phase problem on the whole space	2
Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains	1
Three boundary value problems of the Cauchy–Riemann equation in the Eclipse domain	1
Holomorphic maps from complex discs intersecting hypersurfaces of projective varieties	1
The perturbation method for the skew-symmetric strongly elliptic systems of PDEs	1
Bounded variation solution to 1-Laplacian Kirchhoff type problem in ℝN	1
Homoclinic orbits for first-order Hamiltonian system with local super-quadratic growth condition	1
Existence of solutions to a critical Kirchhoff equation with logarithmic perturbation	1
Riemann–Hilbert problem on a torus and a vortex patch in a wedge	1
Toeplitz operators on the Hardy space with generalized pseudo-homogeneous symbols	1
Polynomial interpolation and residue currents	1
Tikhonov regularisation for the Weierstrass transform associated with the Kontorovich–Lebedev transform	1
Nonlinear Riemann type problems associated to Hermitian Helmholtz equations	1
Solutions for nonhomogeneous singular fractional p-Laplacian equations via fixed point theorem	1
Existence of solutions for a nonhomogeneous sublinear fractional Schrödinger equation	1
Hardy-complementary local Morrey spaces	1
Multiplicity of positive solutions to a critical fractional equation with Hardy potential and concave–convex nonlinearities	1
Invariance and existence analysis of viscoelastic equations with nonlinear damping and source terms on corner singularity	1
On the localization of the spectrum of some perturbations of a two-dimensional harmonic oscillator	1
Existence and multiplicity of solutions for resonant-superlinear problems	1
Dirichlet problem for higher-order equations in a ring domain	1
Schwarz boundary value problem on Reuleaux triangle	1
Embedding and Volterra integral operators from Dirichlet-Morrey spaces into general function spaces	1
Complex and quaternionic Cauchy formulas in Koch snowflakes	1
Sign-changing solutions to a gauged nonlinear Schrödinger equation with critical exponential growth	1
Mountain pass solution to a perturbated Hardy–Sobolev equation involving p-Laplacian on compact Riemannian manifolds	1
Existence and multiplicity of solutions for m -polyharmonic Kirchhoff problems without Ambrosetti–Rabinowitz conditions	1
Ground states for nonlinear Schrödinger equation with sign-changing and vanishing potential	1
Complex coupled dispersionless equations in Minkowski 3-space	1
A regularity result via fractional maximal operators for p-Laplace equations in weighted Lorentz spaces	1
Positive solutions to superlinear semipositone problems on the exterior of a ball	1
Multiplicity results for nonlocal critical problems involving Hardy potential in the whole space	1
Green's functions of some boundary value problems for the biharmonic equation	1
Mountain-pass type solutions for the Chern-Simons-Schrödinger equation with critical exponential growth	1
Dirichlet-Morrey type spaces and Volterra integral operators	1
A uniqueness result for infinite semipositone p-Laplacian problems in a ball	1
Ground states solutions for a modified generalized Choquard fractional Schrödinger equation	1
Non-radial weights and polynomial approximation in spaces of analytic functions	1

Stability of the inverse problem for Dini continuous conductivities in the plane	1
Dirichlet series satisfying a Riemann type functional equation and sharing one set	1
Global Green's function estimates for the convection–diffusion equation	1
Positive solutions for a relativistic nonlinear Schrödinger equation with critical exponent and Hardy potential	1
The nodal solution for a problem involving the logarithmic and exponential nonlinearities	1
Existence of solution for magnetic Schrödinger equation with the Neumann boundary condition	1
Homogenization of Helmholtz equation in a periodic layer to study Faraday cage-like shielding effects	1
Closed range integral operators on Hardy, BMOA and Besov spaces	1
Localization of Forelli's theorem	1
Nonlinear concave-convex problems with indefinite weight	1
Ground state solutions for Choquard equations with Hardy potentials and critical nonlinearity	1
Integral representations in weighted Bergman spaces on tube domains	1
Patterns with prescribed numbers of critical points on topological tori	1
Regularity of solutions to the Robin problem for differential-difference equations	1
A concave–convex Kirchhoff type elliptic equation involving the fractionalp-Laplacian and steep well potential	1
Surjectivity of the ̄∂-operator between weighted spaces of smooth vector-valued functions	1
Indefinite Schrödinger equation with nonlinearity sublinear at zero	1
Closed-form solutions for several classes of singular integral equations with convolution and Cauchy operator	1
Anisotropic non-local problems: asymptotic behaviour and existence results	1
Finite zero-based invariant subspaces of the shift operator on reproducing kernel spaces	1
Riemann problem for bianalytic functions on h-summable curves	1
Composition operator between normal weight Dirichlet type space and Bloch type space	1
Existence of solutions for fractional Kirchhoff–Schrödinger–Poisson equations via Morse theory	1
Radial ground state solutions for Choquard equations with Hardy-Littlewood-Sobolev lower critical growth	1
Weak-type regularity of the Bergman projection on generalized Hartogs triangles in ℂ 3	1
Localization operators associated with the windowed Opdam–Cherednik transform on modulation spaces	1
Ground state solutions for fractional Schrödinger–Choquard–Kirchhoff type equations with critical growth	1
Dirichlet boundary value problem for linear polyanalytic equation in upper half plane	1
Intersection properties for singular radial solutions of quasilinear elliptic equations with Hardy type potentials	1
Bohr's phenomenon for holomorphic and harmonic functions with lacunary series in complex Banach spaces	1
Differential subordination of certain class of starlike functions	1
Boundary behavior of the squeezing function near a global extreme point	1
On C*-algebras of singular integral operators with PQC coefficients and shifts with fixed points	1
The Taylor expansion of weighted monogenic functions	1
Normalized solution for fractional Choquard equation with potential and general nonlinearity	1
Second main theorem for holomorphic maps from complex disks with moving hyperplanes	1
Existence of solutions to some quasilinear degenerate elliptic systems when the datum has an intermediate degree of integrability	1
An existence result for a fractional elliptic system involving (p,q)-Laplacian and critical exponent	1
The weighted reproducing kernels of the Reinhardt domain	1
Coefficient bounds for class of g -starlike mappings of complex order γ in	1
Weighted composition operators and differences of composition operators between weighted Bergman spaces	1
Multiple solutions with compact support for a quasilinear Schrödinger equation with sign-changing potentials	1
An eigenvalue problem for the Dirichlet ( p , q )-Laplacian	1
Mixed local and nonlocal elliptic equation with singular and critical Choquard nonlinearity	1
Explicit solutions of a characteristic Goursat problem without the generalized Levi's condition	1
Semiclassical solutions of generalized quasilinear Schrödinger equations with competing potentials	1
Maximal ideals in a bicomplex algebra and bicomplex Gelfand–Mazur theorem	1
An inverse scattering problem for eigenparameter-dependent discrete Dirac system with Levinson formula	1
Nonexistence result of nontrivial solutions to the equation −Δu=f(u)	1
A study of a critical hypoelliptic problem in a stratified Lie group	1
Asymptotics of eigenvalues for Toeplitz matrices with rational symbols that have a minimum of the 4th order	1
New multiplicity results for a class of nonlocal equation with steep potential well	1
Existence of solution for quasilinear Schrödinger equations using a linking structure	1
Integral representations for hyperbolic harmonic function in the clifford algebra Cln+1,0	0
On the total length of Gamma-lines for rational functions	0
Singular solutions of a characteristic Goursat problem with discontinuous data	0
Instability of algebraic standing waves for nonlinear Schrödinger equations with triple power nonlinearities	0
Nonexistence of anti-symmetric solutions for an elliptic system involving fractional Laplacian	0
Lipschitz type characterizations for Bergman-Orlicz spaces of eigenfunctions on hyperbolic space	0
Corona and Wolff theorems for the multiplier algebra of Besov–Morrey spaces	0
Multiple positive solutions for Kirchhoff-type equations involving critical-concave nonlinearities	0
The size of the set on which an entire function is large	0
Factorization of the Fock–Sobolev space	0
Boundary conjugation problem for piecewise analytic functions in Besov spaces	0
Sign-changing solitary waves for a quasilinear Schrödinger equation with general nonlinearity	0
Rayleigh–Faber–Krahn and Hong–Krahn–Szegö-type inequalities for the absolute value of the heat operator	0
The Cauchy integral formula for ( p , q )-monogenic functions with α -weight in superspace	0
An inverse problem for an elliptic equation in a spherical domain	0
A generalization of squeezing function	0
On the generalized Farwig problem for a polyharmonic equation	0
Existence of positive solutions to nonlinear integral equations on the Heisenberg group	0
Complex manifolds of Sobolev mappings and a Hartogs-type theorem in loop spaces	0
Existence and concentration of positive solutions for a fractional Schrödinger logarithmic equation	0
Nonexistence of positive solutions to a system of elliptic inequalities involving the Grushin operator	0
On a biharmonic choquard equation involving critical exponential growth	0
Polyanalytic Neumann-n problem in the unit disk	0
Families of homomorphic mappings in the polydisk	0
On Hölder continuity to a function class with nonstandard growth condition	0
Solutions for a nonlinear equation with competing operators and supercritical exponential growth	0
L -functions and meromorphic functions satisfying the same Riemann-type functional equation and sharing sets	0
Embedding model and de Branges-Rovnyak spaces in Dirichlet spaces	0
Sobolev's inequality in central Herz-Morrey-Musielak-Orlicz spaces over metric measure spaces	0
Characterizations of self-adjointness, normality of pseudo-differential operators on homogeneous space of compact groups	0
Cauchy problem in Gevrey spaces	0
The Dirichlet condition for the conformable fractional sub-elliptic equation on the Heisenberg group	0
A lower estimate for weak-type Fourier multipliers	0
Existence and nonexistence results of polyharmonic boundary value problems with supercritical growth	0
Multiple solutions for the fractional Schrödinger–Poisson system with concave–convex nonlinearities	0
The pointwise limit of holomorphic functions	0
Bound states for fractional Kirchhoff equations with critical growth	0
Multiplicity of solutions for the stationary quantum Zakharov system with combined nonlinearities	0
Elliptic equations involving supercritical Sobolev growth with mixed Dirichlet-Neumann boundary conditions	0
Landau's theorem for harmonic Bloch functions on simply connected domains	0
Critical fractional p -Kirchhoff type problem with a generalized Choquard nonlinearity and magnetic field	0
On Nirenberg's non-embeddable CR structure	0