Complex Variables and Elliptic Equations

Article	Citations
Existence and multiplicity results forp(⋅)&q(⋅) fractional Choquard problems with variable order	19
Generalized uncertainty principles associated with the quaternionic offset linear canonical transform	17
Existence of radial solutions of the Kohn–Laplacian problem	15
Degenerate elliptic problem with a singular nonlinearity	14
Radial solutions for a p-Laplace equation involving nonlinearity terms	12
Liouville theorems for fractional and higher-order Hénon–Hardy systems on ℝn	11
On solvability in the small of higher order elliptic equations in grand-Sobolev spaces	10
Harmonic Green and Neumann functions for domains bounded by two intersecting circular arcs	9
Half-plane differential-difference elliptic problems with general-kind nonlocal potentials	9
Lp boundedness for the Bergman projections over n-dimensional generalized Hartogs triangles	9
On compact classes of Beltrami solutions and Dirichlet problem	8
Fredholm property and essential spectrum of 3-D Dirac operators with regular and singular potentials	8
Triangular ratio metric in the unit disk	8
Characterization of continuous endomorphisms of the space of entire functions of a given order	8
The second Hankel determinant for starlike and convex functions of order alpha	7
On some asymptotic representations of solutions to elliptic equations and their applications	6
The Nehari manifold approach for singular equations involving the p(x)-Laplace operator	6
Improved Bohr inequalities for certain class of harmonic univalent functions	6
Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity	6
On the comparison of the Fridman invariant and the squeezing function	6
Toeplitz and Cesàro-type operators on homogeneous Siegel domains	6
Compact embeddings of weighted variable exponent Sobolev spaces and existence of solutions for weighted p (·)-Laplacian	6
Fractional Klein-Gordon equation with singular mass. II: hypoelliptic case	5
The Nehari manifold for fractionalp-Laplacian system involving concave–convex nonlinearities and sign-changing weight functions	5
Existence and concentration of ground state solutions for critical Kirchhoff-type equation with steep potential well	5

An efficient method for singular integral equations of non-normal type with two convolution kernels	5
On the local and boundary behaviour of mappings of factor spaces	5
The Fekete and Szegö inequality for a class of holomorphic mappings on the unit polydisk in and its application	5
Regularity results for degenerate parabolic equations with L m data	5
On Poleckii-type modular inequalities	5
On factorization of multivectors in Cl(3,0), Cl(1,2) and Cl(0,3), by exponentials and idempotents	5
Nonexistence of solutions to higher order evolution inequalities with nonlocal source term on Riemannian manifolds	5
On the instability of standing waves for the nonlinear Schrödinger equation with inverse-square potential	5
Correctness of the definition of the Laplace operator with delta-like potentials	5
A different modelling of complex Hasimoto map for pseudo-null curves via Bishop frame	5
The sharp refined Bohr–Rogosinski inequalities for certain classes of harmonic mappings	4
Approximation of monogenic functions by hypercomplex Ruscheweyh derivative bases	4
An iterative real sequence based on and providing a plane parqueting and harmonic Green functions	4
An existence result for singular nonlocal fractional Kirchhoff–Schrödinger–Poisson system	4
Computation of eigenvalues and eigenfunctions of a non-local boundary value problem with retarded argument	4
Semilinear fractional-order evolution equations of Sobolev type in the sectorial case	4
Nonexistence, existence and symmetry of normalized ground states to Choquard equations with a local perturbation	4
Existence of solutions for a class of quasilinear Schrödinger equation with a Kirchhoff-type	4
Geometric estimates on weighted p-fundamental tone and applications to the first eigenvalue of submanifolds with bounded mean curvature	4
Least energy sign-changing solutions of fractional Kirchhoff–Schrödinger–Poisson system with critical and logarithmic nonlinearity	4
Existence of entire solutions for critical Sobolev–Hardy problems involving magnetic fractional operator	4
Commutators of the fractional maximal function in generalized Morrey spaces on Carnot groups	4
Slice regular weighted composition operators	4
On the delay differential variational inequalities of parabolic–elliptic type	4
Liouville-type theorems for sub-elliptic systems involving Δλ-Laplacian	4
Infinitely many sign-changing solutions for modified Kirchhoff-type equations in ℝ3	4
Variational eigenvalues of the fractional g-Laplacian	4
Weighted estimates for θ-type Calderón-Zygmund operator and its commutator on metric measure spaces	4
Two-sided fractional Clifford–Fourier transformation	3
Quaternionic slice regular functions with some sphere bundles	3
Existence and multiplicity results for critical anisotropic Kirchhoff-type problems with nonlocal nonlinearities	3
Smoothness of solutions to the mixed problem for elliptic differential-difference equation in cylinder	3
Existence and multiplicity of solutions to N-Kirchhoff equations with critical exponential growth and a perturbation term	3
Koebe and Caratheódory type boundary behavior results for harmonic mappings	3
Infinitely many solutions for a doubly nonlocal fractional problem involving two critical nonlinearities	3
G-monogenic mappings in a three-dimensional noncommutative algebra	3
Bendlet transforms: a mathematical perspective	3
Solvability of some integro-differential equations with concentrated sources	3
Runge property and approximation by complete systems of solutions for strongly elliptic equations	3
Symmetry and monotonicity of positive solutions for a system involving fractional p&q-Laplacian in a ball	3
Pohozaev-type identities for a pseudo-relativistic Schrödinger operator and applications	3
Multi-peak solutions of a type of Kirchhoff equations with critical exponent	3
Nonlinear singular problems with indefinite potential and a superlinear perturbation	3
Solvability of nonlocal Dirichlet problem for generalized Helmholtz equation in a unit ball	3
Meromorphic mappings of a complete connected Kähler manifold into a projective space sharing hyperplanes	3
Homogenization of a boundary optimal control problem governed by Stokes equations	3
Existence and nonexistence results for anisotropicp-Laplace equation with singular nonlinearities	3
Symmetry and monotonicity of positive solutions for a Choquard equation with the fractional Laplacian	3
On a double phase problem with sublinear and superlinear nonlinearities	3
Local continuity of singular anisotropic parabolic equations with variable growth	3

Existence results for an anisotropic variable exponent Kirchhoff-type problem	3
d-balanced squeezing function	3
On dual transform of fractional Hankel transform	3
Positive, negative and least energy nodal solutions for Kirchhoff equations in ℝN	3
The Bohr-type operator on analytic functions and sections	3
Complex symmetric Toeplitz operators on the weighted Bergman space	3
Plemelj formula of inframonogenic functions and their boundary value problems	3
A generalization of the Bohr inequality and its applications	3
On mixed norm holomorphic grand and small spaces	3
Nehari manifold for singular fractionalp(x,.)-Laplacian problem	3
Holomorphic continuation of a formal series along analytic curves	3
Existence of solutions to Kirchhoff type equations involving the nonlocal p1& … &pm fractional Laplacian with critical Sobolev-Hardy exponent	3
Weighted holomorphic mixed norm spaces in the unit disc defined in terms of Fourier coefficients	3
Norm estimates of the partial derivatives and Schwarz lemma for α-harmonic functions	2
Complex coupled dispersionless equations in Minkowski 3-space	2
Infinitesimal bendings for classes of two-dimensional surfaces	2
Slice quaternionic analysis in two variables	2
Meromorphic solutions of one certain type of non-linear complex differential equation	2
Convolutions of planar harmonic strip mappings	2
MHD model of incompressible polymeric fluid. Linear instability of the resting state	2
A sufficient condition for Lp regularity of the Berezin transform	2
Existence of solution for a system involving a singular-nonlocal operator, a singularity and a Radon measure	2
Submanifolds of some Hartogs domain and the complex Euclidean space	2
On bicomplex third-order Jacobsthal numbers	2
Joint Carleson measure for the difference of composition operators on the polydisks	2
Semi-stable holomorphic vector bundles over generalized Kähler manifolds	2
The swallowtail integral in the highly oscillatory region III	2
The Fourier type expansions on tubes	2
Existence and multiplicity of solutions for a quasilinear double phase problem on the whole space	2
Clark measures and de Branges–Rovnyak spaces in several variables	2
Entire function and its linear C-shift operator sharing a set of small functions CM	2
Two remarks on the Poincaré metric on a singular Riemann surface foliation	2
A class of elliptic inclusion in fractional Orlicz–Sobolev spaces	2
The sharp estimates of main coefficients for starlike mappings in ℂn	2
Sliding method for fully nonlinear fractional order equations	2
Moduli inequalities for W1n-1,loc-mappings with weighted bounded (q, p)-distortion	2
Strongly nonlinear elliptic problem with measure data in Musielak-Orlicz spaces	2
Multiple nodal solutions of quadratic Choquard equations with perturbation	2
Smooth approximation of quaternionic plurisubharmonic functions	2
Loaded differential equations and linear inverse problems for elliptic equations	2
Distortion results for a certain subclass of biholomorphic mappings in ℂn	2
The local behaviour of open, light mappings satisfying generalized modular inequalities	2
On a class of sublinear operators in variable exponent Morrey-type spaces	2
Difference of quaternionic weighted composition operators on slice regular Fock spaces	2
Symmetry of solutions for a class of nonlocal Monge–Ampère equations	2
Existence of three weak solutions for fourth-order Leray–Lions problem with indefinite weights	2
Monotonicity of solutions for a class of uniformly elliptic nonlocal Bellman systems	2
Ingham-type theorems for the Dunkl Fourier transforms	2
Product-type operators on Banach spaces of analytic functions on the upper half-plane	2
Existence of solution for a supercritical nonlinear Schrödinger equation	2
On a nonlinear elliptic system involving the (p(x),q(x))-Laplacian operator with gradient dependence	2
Homogenization of the parabolic equation with periodic coefficients at the edge of a spectral gap	2
Existence of positive solution for the Choquard equation in exterior domain	2
Existence of least energy sign-changing solution for a class of fractional p & q -Laplacian problems with potentials vanishing at infi	2
Chirality notions and electromagnetic scattering: a mini review	1
Closed-form solutions for several classes of singular integral equations with convolution and Cauchy operator	1
Positive solutions for a relativistic nonlinear Schrödinger equation with critical exponent and Hardy potential	1
Schrödinger equations involving fractional p-Laplacian with supercritical exponent	1
Dirichlet series satisfying a Riemann type functional equation and sharing one set	1
Solutions for nonhomogeneous singular fractional p-Laplacian equations via fixed point theorem	1
A regularity result via fractional maximal operators for p-Laplace equations in weighted Lorentz spaces	1
Nonclassical stationary and nonstationary problems with weight Neumann conditions for singular equations with KPZ-nonlinearities	1
On parabolic convergence of positive solutions of the heat equation	1
On sign-changing solutions for quasilinear Schrödinger-Poisson system with critical growth	1
Hardy-complementary local Morrey spaces	1
Ground states for nonlinear Schrödinger equation with sign-changing and vanishing potential	1
On C*-algebras of singular integral operators with PQC coefficients and shifts with fixed points	1
Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators	1
Toeplitz operators on the Hardy space with generalized pseudo-homogeneous symbols	1
Inclusion properties of planar harmonic mappings associated with the Wright function	1
A localized domain perturbation which splits the spectrum of the Laplacian	1
On boundary value problems of the Samarskii–Ionkin type for the Laplace operator in a ball	1
A uniqueness result for infinite semipositone p-Laplacian problems in a ball	1
Positive solutions for Kirchhoff equation in exterior domains with small Sobolev critical perturbation	1
An overview of some works of S.L. Sobolev	1
Composition operator between normal weight Dirichlet type space and Bloch type space	1
Localization operators associated with the windowed Opdam–Cherednik transform on modulation spaces	1
Bounded variation solution to 1-Laplacian Kirchhoff type problem in ℝN	1
Nonlinear concave-convex problems with indefinite weight	1
Existence of solution for quasilinear Schrödinger equations using a linking structure	1

Three boundary value problems of the Cauchy–Riemann equation in the Eclipse domain	1
On distortion of harmonic measure under locally quasiconformal mappings	1
Non-radial weights and polynomial approximation in spaces of analytic functions	1
Ground states solutions for a modified generalized Choquard fractional Schrödinger equation	1
The weighted reproducing kernels of the Reinhardt domain	1
Homoclinic orbits for first-order Hamiltonian system with local super-quadratic growth condition	1
Quasilinear elliptic problem without Ambrosetti–Rabinowitz condition involving a potential in Musielak–Sobolev spaces setting	1
Embedding and Volterra integral operators from Dirichlet-Morrey spaces into general function spaces	1
Dirichlet problem for higher-order equations in a ring domain	1
Global Green's function estimates for the convection–diffusion equation	1
Minimizers of the planar Schrödinger–Newton equations	1
On a nonlinear elliptic fractional equation on higher dimensional domain	1
Carleson embeddings with loss for Bergman–Orlicz spaces of the unit ball	1
On the localization of the spectrum of some perturbations of a two-dimensional harmonic oscillator	1
Homogenization of Helmholtz equation in a periodic layer to study Faraday cage-like shielding effects	1
Multiple solutions with compact support for a quasilinear Schrödinger equation with sign-changing potentials	1
Finite Lipschitzness of regular solutions to nonlinear Beltrami equation	1
Multiplicity of positive solutions to a critical fractional equation with Hardy potential and concave–convex nonlinearities	1
The perturbation method for the skew-symmetric strongly elliptic systems of PDEs	1
Complex and quaternionic Cauchy formulas in Koch snowflakes	1
A generalized CR equation with isolated singularities	1
Sign-changing solutions to a gauged nonlinear Schrödinger equation with critical exponential growth	1
Sign-changing solutions for modified Schrödinger–Poisson system with general nonlinearity	1
Scalar elliptic equations with a singular drift	1
The nodal solution for a problem involving the logarithmic and exponential nonlinearities	1
Anisotropic non-local problems: asymptotic behaviour and existence results	1
Green's functions of some boundary value problems for the biharmonic equation	1
Positive solutions to superlinear semipositone problems on the exterior of a ball	1
Hyponormality of the dilation of truncated Toeplitz operators	1
Complex linear differential equations with solutions in the H2K spaces	1
Intersection properties for singular radial solutions of quasilinear elliptic equations with Hardy type potentials	1
On a left-α-ψ-hyperholomorphic Bergman space	1
Mixed local and nonlocal elliptic equation with singular and critical Choquard nonlinearity	1
Zalcman–Pang's lemma in CN	1
On factorisation of a class of Schrödinger operators	1
Composition operators on weighted Banach spaces of entire functions	1
Surjectivity of the ̄∂-operator between weighted spaces of smooth vector-valued functions	1
Multiplicity results for nonlocal critical problems involving Hardy potential in the whole space	1
Bohr's phenomenon for holomorphic and harmonic functions with lacunary series in complex Banach spaces	1
Weighted composition operators and differences of composition operators between weighted Bergman spaces	1
Dirichlet-Morrey type spaces and Volterra integral operators	1
Ground state solutions for fractional Schrödinger–Choquard–Kirchhoff type equations with critical growth	1
Patterns with prescribed numbers of critical points on topological tori	1
The Paneitz operator on the anisotropic quaternionic Heisenberg group	1
Maximal ideals in a bicomplex algebra and bicomplex Gelfand–Mazur theorem	1
Regularity of solutions to the Robin problem for differential-difference equations	1
Existence and multiplicity of positive solutions for the fractional Laplacian under subcritical or critical growth	1
A remark on Kirchhoff-type equations in ℝ4 involving critical growth	1
Polynomial interpolation and residue currents	1
Positive solution for a class of Choquard equations with Hardy–Littlewood–Sobolev critical exponent in exterior domains	1
Ground state solutions for Choquard equations with Hardy potentials and critical nonlinearity	1
An existence result for a fractional elliptic system involving (p,q)-Laplacian and critical exponent	1
Explicit solutions of a characteristic Goursat problem without the generalized Levi's condition	1
Besov estimates for the weak solutions of a class of quasilinear elliptic equations	1
Localization of Forelli's theorem	1
Existence and multiplicity of solutions for m-polyharmonic Kirchhoff problems without Ambrosetti–Rabinowitz conditions	1
Nonexistence result of nontrivial solutions to the equation −Δu=f(u)	1
Riemann–Hilbert problem on a torus and a vortex patch in a wedge	1
The Bergman kernel and projection on the Fock–Bargmann–Hartogs domain	1
Existence of solutions for fractional Kirchhoff–Schrödinger–Poisson equations via Morse theory	1
New multiplicity results for a class of nonlocal equation with steep potential well	1
Second main theorem for holomorphic maps from complex disks with moving hyperplanes	1
A concave–convex Kirchhoff type elliptic equation involving the fractionalp-Laplacian and steep well potential	1
The Taylor expansion of weighted monogenic functions	1
Small Hankel operators between Bergman-type spaces in the unit ball	1
Existence of solutions for a nonhomogeneous sublinear fractional Schrödinger equation	1
Lelong–Jensen formula, Demailly–Lelong numbers and weighted degree of positive supercurrents	1
Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains	1
Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems	1
Nodal solution for Kirchhoff-type problems with concave-convex nonlinearities	1
A note on interface formation in singularly perturbed elliptic problems	1
Norm estimates for a class of operators related to the Bergman projection	1
Mountain-pass type solutions for the Chern-Simons-Schrödinger equation with critical exponential growth	1
Toeplitz operators on Bergman spaces with exponential weights	1
Holomorphic maps from complex discs intersecting hypersurfaces of projective varieties	1
Calderón–Zygmund estimate for asymptotically regular elliptic equations with Lp(x) -logarithmic growth	1
Existence and multiplicity of solutions for resonant-superlinear problems	1
Bounded extremal problems in Bergman and Bergman-Vekua spaces	1
Global bifurcation for N-dimensional p-Laplacian problem and its applications	1
Quaternionic inverse Fourier transforms on locally compact abelian groups	1
On the tangential gradient of the kernel of the double layer potential	1
Asymptotics of eigenvalues for Toeplitz matrices with rational symbols that have a minimum of the 4th order	1
Weak solutions for a ( p ,  q )-Laplacian systems with two parameters on PCF-fractal domain	1
Stability of the inverse problem for Dini continuous conductivities in the plane	1