Complex Variables and Elliptic Equations

Article	Citations
Variable order nonlocal Choquard problem with variable exponents	24
Existence and multiplicity results forp(⋅)&q(⋅) fractional Choquard problems with variable order	17
Low perturbations of p-biharmonic equations with competing nonlinearities	16
Existence of radial solutions of the Kohn–Laplacian problem	15
Existence of solution for a singular fractional Laplacian problem with variable exponents and indefinite weights	14
Generalized uncertainty principles associated with the quaternionic offset linear canonical transform	14
Degenerate elliptic problem with a singular nonlinearity	12
Liouville theorems for fractional and higher-order Hénon–Hardy systems on ℝn	11
Radial solutions for a p-Laplace equation involving nonlinearity terms	11
Barrlund's distance function and quasiconformal maps	10
Half-plane differential-difference elliptic problems with general-kind nonlocal potentials	9
On solvability in the small of higher order elliptic equations in grand-Sobolev spaces	9
Triangular ratio metric in the unit disk	8
Fredholm property and essential spectrum of 3-D Dirac operators with regular and singular potentials	8
Lp boundedness for the Bergman projections over n-dimensional generalized Hartogs triangles	8
Harmonic Green and Neumann functions for domains bounded by two intersecting circular arcs	8
Existence results for an anisotropic nonlocal problem involving critical and discontinuous nonlinearities	8
Characterization of continuous endomorphisms of the space of entire functions of a given order	8
On compact classes of Beltrami solutions and Dirichlet problem	7
Improved Bohr inequalities for certain class of harmonic univalent functions	6
Non-rectifiable Riemann boundary value problem for bi-analytic functions	6
Toeplitz and Cesàro-type operators on homogeneous Siegel domains	6
On the comparison of the Fridman invariant and the squeezing function	6
The second Hankel determinant for starlike and convex functions of order alpha	6
Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity	6

The Nehari manifold approach for singular equations involving the p(x)-Laplace operator	6
A different modelling of complex Hasimoto map for pseudo-null curves via Bishop frame	5
On factorization of multivectors in Cl(3,0), Cl(1,2) and Cl(0,3), by exponentials and idempotents	5
Compact embeddings of weighted variable exponent Sobolev spaces and existence of solutions for weighted p (·)-Laplacian	5
An efficient method for singular integral equations of non-normal type with two convolution kernels	5
On some asymptotic representations of solutions to elliptic equations and their applications	5
Infinitely many solutions for a class of perturbed degenerate elliptic equations involving the Grushin operator	5
On the instability of standing waves for the nonlinear Schrödinger equation with inverse-square potential	5
Almansi-type theorems for slice-regular functions on Clifford algebras	5
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
An iterative real sequence based on and providing a plane parqueting and harmonic Green functions	4
On Poleckii-type modular inequalities	4
Existence of solutions for critical fractional p&q-Laplacian system	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
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
The Fekete and Szegö inequality for a class of holomorphic mappings on the unit polydisk in and its application	4
Nonexistence of solutions to higher order evolution inequalities with nonlocal source term on Riemannian manifolds	4
Weighted estimates for θ-type Calderón-Zygmund operator and its commutator on metric measure spaces	4
Correctness of the definition of the Laplace operator with delta-like potentials	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
On the local and boundary behaviour of mappings of factor spaces	4
Regularity results for degenerate parabolic equations with L m data	4
Semilinear fractional-order evolution equations of Sobolev type in the sectorial case	4
The sharp refined Bohr–Rogosinski inequalities for certain classes of harmonic mappings	4
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
Slice regular weighted composition operators	3
Bendlet transforms: a mathematical perspective	3
Holomorphic continuation of a formal series along analytic curves	3
Local continuity of singular anisotropic parabolic equations with variable growth	3
Symmetry and monotonicity of positive solutions for a system involving fractional p&q-Laplacian in a ball	3
Existence of entire solutions for critical Sobolev–Hardy problems involving magnetic fractional operator	3
Quaternionic slice regular functions with some sphere bundles	3
Some monotonicity results for the fractional Laplacian in unbounded domain	3
Commutators of the fractional maximal function in generalized Morrey spaces on Carnot groups	3
A generalization of the Bohr inequality and its applications	3
On the delay differential variational inequalities of parabolic–elliptic type	3
Homogenization of a boundary optimal control problem governed by Stokes equations	3
On a double phase problem with sublinear and superlinear nonlinearities	3
Solvability of nonlocal Dirichlet problem for generalized Helmholtz equation in a unit ball	3
Existence results for perturbed weighted p(x)-biharmonic problem with Navier boundary conditions	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
Pohozaev-type identities for a pseudo-relativistic Schrödinger operator and applications	3
d-balanced squeezing function	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
Smoothness of solutions to the mixed problem for elliptic differential-difference equation in cylinder	3
Toeplitz type operator and Gleason's problem on Hp,q,s(B) of Cn	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
Variational eigenvalues of the fractional g-Laplacian	3
Positive, negative and least energy nodal solutions for Kirchhoff equations in ℝN	3
Least energy sign-changing solutions of fractional Kirchhoff–Schrödinger–Poisson system with critical and logarithmic nonlinearity	3
The global Borel-Pompieu-type formula for quaternionic slice regular functions	3
Weighted holomorphic mixed norm spaces in the unit disc defined in terms of Fourier coefficients	3
Two-sided fractional Clifford–Fourier transformation	3
On dual transform of fractional Hankel transform	3
The Bohr-type operator on analytic functions and sections	3
Existence and multiplicity results for critical anisotropic Kirchhoff-type problems with nonlocal nonlinearities	3
Meromorphic mappings of a complete connected Kähler manifold into a projective space sharing hyperplanes	3
Approximation of monogenic functions by hypercomplex Ruscheweyh derivative bases	3
Moduli inequalities for W1n-1,loc-mappings with weighted bounded (q, p)-distortion	2
A class of modified nonlinear fourth-order elliptic equations with unbounded potential	2
Multiple nodal solutions of quadratic Choquard equations with perturbation	2
Complex symmetry of first-order differential operators on Hardy space	2
On mixed norm holomorphic grand and small spaces	2
Multiplicity of positive solutions to a critical fractional equation with Hardy potential and concave–convex nonlinearities	2
Distortion results for a certain subclass of biholomorphic mappings in ℂn	2
Solutions for nonhomogeneous singular fractional p-Laplacian equations via fixed point theorem	2
An existence result for singular nonlocal fractional Kirchhoff–Schrödinger–Poisson system	2
Entire function and its linear C-shift operator sharing a set of small functions CM	2
Nonexistence, existence and symmetry of normalized ground states to Choquard equations with a local perturbation	2
A Schwarz lemma for two families of domains and complex geometry	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
Complex symmetric Toeplitz operators on the weighted Bergman space	2
Existence of positive solution for the Choquard equation in exterior domain	2
Existence of solution for a supercritical nonlinear Schrödinger equation	2
Multidimensional singular integrals and integral equations in fractional spaces I	2
Homogenization of the parabolic equation with periodic coefficients at the edge of a spectral gap	2
On a nonlinear elliptic system involving the (p(x),q(x))-Laplacian operator with gradient dependence	2
Loaded differential equations and linear inverse problems for elliptic equations	2
Nehari manifold for singular fractionalp(x,.)-Laplacian problem	2
The local behaviour of open, light mappings satisfying generalized modular inequalities	2
Existence and multiplicity of solutions for a quasilinear double phase problem on the whole space	2
On a class of sublinear operators in variable exponent Morrey-type spaces	2
Koebe and Caratheódory type boundary behavior results for harmonic mappings	2
Slice quaternionic analysis in two variables	2
The sharp estimates of main coefficients for starlike mappings in ℂn	2
Two remarks on the Poincaré metric on a singular Riemann surface foliation	2
Plemelj formula of inframonogenic functions and their boundary value problems	2
Monotonicity of solutions for a class of uniformly elliptic nonlocal Bellman systems	2
Ground state solutions for a quasilinear elliptic equation with general critical nonlinearity	2
Joint Carleson measure for the difference of composition operators on the polydisks	2
On bicomplex third-order Jacobsthal numbers	2
Smooth approximation of quaternionic plurisubharmonic functions	2
Semi-stable holomorphic vector bundles over generalized Kähler manifolds	2
Topological properties of the solution sets for parametric nonlinear Dirichlet problems	2
The swallowtail integral in the highly oscillatory region III	2
Norm estimates of the partial derivatives and Schwarz lemma for α-harmonic functions	2
Complex coupled dispersionless equations in Minkowski 3-space	2
The Fourier type expansions on tubes	2
Symmetry of solutions for a class of nonlocal Monge–Ampère equations	2
MHD model of incompressible polymeric fluid. Linear instability of the resting state	2
Meromorphic solutions of one certain type of non-linear complex differential equation	2
Some refinements of the Fekete and Szegö inequalities in one and higher dimensions	2
Existence of three weak solutions for fourth-order Leray–Lions problem with indefinite weights	2
Existence and multiplicity of solutions to N-Kirchhoff equations with critical exponential growth and a perturbation term	2
Sliding method for fully nonlinear fractional order equations	2
Complex linear differential equations with solutions in the H2K spaces	1
Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems	1
The Taylor expansion of weighted monogenic functions	1
Zalcman–Pang's lemma in CN	1
Bohr's phenomenon for holomorphic and harmonic functions with lacunary series in complex Banach spaces	1
Existence and multiplicity of positive solutions for the fractional Laplacian under subcritical or critical growth	1
Bounded extremal problems in Bergman and Bergman-Vekua spaces	1
Composition operators on weighted Banach spaces of entire functions	1
The perturbation method for the skew-symmetric strongly elliptic systems of PDEs	1
Finite Lipschitzness of regular solutions to nonlinear Beltrami equation	1
Calderón–Zygmund estimate for asymptotically regular elliptic equations with Lp(x) -logarithmic growth	1
Sign-changing solutions for modified Schrödinger–Poisson system with general nonlinearity	1
Global bifurcation for N-dimensional p-Laplacian problem and its applications	1
Green's functions of some boundary value problems for the biharmonic equation	1
Difference of quaternionic weighted composition operators on slice regular Fock spaces	1
On the tangential gradient of the kernel of the double layer potential	1

Stability of the inverse problem for Dini continuous conductivities in the plane	1
Intersection properties for singular radial solutions of quasilinear elliptic equations with Hardy type potentials	1
Existence of solutions for a nonhomogeneous sublinear fractional Schrödinger equation	1
A remark on Kirchhoff-type equations in ℝ4 involving critical growth	1
Nonlinear concave-convex problems with indefinite weight	1
Positive solutions for a relativistic nonlinear Schrödinger equation with critical exponent and Hardy potential	1
Strongly nonlinear elliptic problem with measure data in Musielak-Orlicz spaces	1
Homoclinic orbits for first-order Hamiltonian system with local super-quadratic growth condition	1
Ground state solutions for Choquard equations with Hardy potentials and critical nonlinearity	1
Toeplitz operators on Bergman spaces with exponential weights	1
On sign-changing solutions for quasilinear Schrödinger-Poisson system with critical growth	1
Norm estimates for a class of operators related to the Bergman projection	1
A localized domain perturbation which splits the spectrum of the Laplacian	1
Inclusion properties of planar harmonic mappings associated with the Wright function	1
Convolutions of planar harmonic strip mappings	1
Anisotropic non-local problems: asymptotic behaviour and existence results	1
Nodal solution for Kirchhoff-type problems with concave-convex nonlinearities	1
Nonclassical stationary and nonstationary problems with weight Neumann conditions for singular equations with KPZ-nonlinearities	1
Embedding and Volterra integral operators from Dirichlet-Morrey spaces into general function spaces	1
Localization of Forelli's theorem	1
A general method for solving linear elliptic biquaternion equations	1
Positive solutions to superlinear semipositone problems on the exterior of a ball	1
Maximal ideals in a bicomplex algebra and bicomplex Gelfand–Mazur theorem	1
Lelong–Jensen formula, Demailly–Lelong numbers and weighted degree of positive supercurrents	1
Existence of least energy sign-changing solution for a class of fractional p & q -Laplacian problems with potentials vanishing at infi	1
Positive solution for a class of Choquard equations with Hardy–Littlewood–Sobolev critical exponent in exterior domains	1
A note on interface formation in singularly perturbed elliptic problems	1
On a left-α-ψ-hyperholomorphic Bergman space	1
Chirality notions and electromagnetic scattering: a mini review	1
The nodal solution for a problem involving the logarithmic and exponential nonlinearities	1
Mountain-pass type solutions for the Chern-Simons-Schrödinger equation with critical exponential growth	1
Existence and multiplicity of solutions for m-polyharmonic Kirchhoff problems without Ambrosetti–Rabinowitz conditions	1
Ground states solutions for a modified generalized Choquard fractional Schrödinger equation	1
Existence of solutions for fractional Kirchhoff–Schrödinger–Poisson equations via Morse theory	1
Clark measures and de Branges–Rovnyak spaces in several variables	1
The Paneitz operator on the anisotropic quaternionic Heisenberg group	1
Existence of a unique positive entropy solution to a singular fractional Laplacian	1
Hyponormality of the dilation of truncated Toeplitz operators	1
Dirichlet problem for higher-order equations in a ring domain	1
On a nonlinear elliptic fractional equation on higher dimensional domain	1
Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains	1
Riemann–Hilbert problem on a torus and a vortex patch in a wedge	1
Scalar elliptic equations with a singular drift	1
Surjectivity of the ̄∂-operator between weighted spaces of smooth vector-valued functions	1
Homogenization of Helmholtz equation in a periodic layer to study Faraday cage-like shielding effects	1
On factorisation of a class of Schrödinger operators	1
On parabolic convergence of positive solutions of the heat equation	1
Regularity of solutions to the Robin problem for differential-difference equations	1
Weighted composition operators and differences of composition operators between weighted Bergman spaces	1
Sign-changing solutions to a gauged nonlinear Schrödinger equation with critical exponential growth	1
Besov estimates for the weak solutions of a class of quasilinear elliptic equations	1
Explicit solutions of a characteristic Goursat problem without the generalized Levi's condition	1
A class of elliptic inclusion in fractional Orlicz–Sobolev spaces	1
The Bergman kernel and projection on the Fock–Bargmann–Hartogs domain	1
Complex and quaternionic Cauchy formulas in Koch snowflakes	1
Existence results for an anisotropic variable exponent Kirchhoff-type problem	1
A model of a boundary composed of the Helmholtz resonators	1
Existence of solution for quasilinear Schrödinger equations using a linking structure	1
Ground states for nonlinear Schrödinger equation with sign-changing and vanishing potential	1
Existence and multiplicity of solutions for resonant-superlinear problems	1
Composition operator between normal weight Dirichlet type space and Bloch type space	1
Three boundary value problems of the Cauchy–Riemann equation in the Eclipse domain	1
Global Green's function estimates for the convection–diffusion equation	1
Multiplicity results for nonlocal critical problems involving Hardy potential in the whole space	1
Bounded variation solution to 1-Laplacian Kirchhoff type problem in ℝN	1
Carleson embeddings with loss for Bergman–Orlicz spaces of the unit ball	1
Dirichlet-Morrey type spaces and Volterra integral operators	1
Quasilinear elliptic problem without Ambrosetti–Rabinowitz condition involving a potential in Musielak–Sobolev spaces setting	1
Hardy-complementary local Morrey spaces	1
Ground state solutions for fractional Schrödinger–Choquard–Kirchhoff type equations with critical growth	1
Toeplitz operators on the Hardy space with generalized pseudo-homogeneous symbols	1
On C*-algebras of singular integral operators with PQC coefficients and shifts with fixed points	1
Existence of solution for a system involving a singular-nonlocal operator, a singularity and a Radon measure	1
A uniqueness result for infinite semipositone p-Laplacian problems in a ball	1
Non-radial weights and polynomial approximation in spaces of analytic functions	1
Minimizers of the planar Schrödinger–Newton equations	1
Existence of solutions to Kirchhoff type equations involving the nonlocal p1& … &pm fractional Laplacian with critical Sobolev-Hardy exponent	1
Polynomial interpolation and residue currents	1
Localization operators associated with the windowed Opdam–Cherednik transform on modulation spaces	1
A generalized CR equation with isolated singularities	1
On the localization of the spectrum of some perturbations of a two-dimensional harmonic oscillator	1
A sufficient condition for Lp regularity of the Berezin transform	1
Infinitesimal bendings for classes of two-dimensional surfaces	1
Submanifolds of some Hartogs domain and the complex Euclidean space	1
Second main theorem for holomorphic maps from complex disks with moving hyperplanes	1
Nonexistence result of nontrivial solutions to the equation −Δu=f(u)	1
Patterns with prescribed numbers of critical points on topological tori	1
On boundary value problems of the Samarskii–Ionkin type for the Laplace operator in a ball	1
An overview of some works of S.L. Sobolev	1
Multiple solutions with compact support for a quasilinear Schrödinger equation with sign-changing potentials	1
Quaternionic inverse Fourier transforms on locally compact abelian groups	1
Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators	1
Multiple stationary solutions of parabolic problem with discontinuous nonlinearities and their stability	1
Closed-form solutions for several classes of singular integral equations with convolution and Cauchy operator	1
On normal families in Cn	1