# Complex Variables and Elliptic Equations

Publisher: Taylor & Francis

## Description

## Impact factor 0.65

- Hide impact factor historyImpact factorYear
- 5-year impact0.00
- Cited half-life4.00
- Immediacy index0.07
- Eigenfactor0.00
- Article influence0.00
- Other titlesComplex variables and elliptic equations (Online), Complex variables
- ISSN1747-6933
- OCLC63766506
- Material typeDocument, Periodical, Internet resource
- Document typeInternet Resource, Computer File, Journal / Magazine / Newspaper

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- STM: Science, Technology and Medicine
- SSH: Social Science and Humanities
- Publisher last contacted on 25/03/2014
- 'Taylor & Francis (Psychology Press)' is an imprint of 'Taylor & Francis'

- Classification green

## Publications in this journal

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**ABSTRACT:**Our aim in this paper is to deal with the boundedness of the Hardy–Littlewood maximal operator on Herz–Morrey spaces and to establish Sobolev’s inequalities for Riesz potentials of functions in Herz–Morrey spaces. Further, we discuss the associate spaces among Herz–Morrey spaces.Complex Variables and Elliptic Equations 02/2015; 60(2). - [Show abstract] [Hide abstract]

**ABSTRACT:**We characterize the boundedness and compactness of an integral-type operator introduced by S. Stević from a weighted-type space to F(p,q,s) space on the unit ball of n .Complex Variables and Elliptic Equations 02/2015; 60(2). -
##### Article: Generalized Beltrami equations

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**ABSTRACT:**We enlarge the class of Beltrami equations by developing a stability theory for the sheaf of solutions of an overdetermined elliptic system of first-order homogeneous partial differential equations with constant coefficients in .Complex Variables and Elliptic Equations 01/2015; 60(1). -
##### Article: q-Completeness of unbranched Riemann domains over complex spaces with isolated singularities

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**ABSTRACT:**We prove that if we consider to be an unbranched Riemann domain between two complex spaces with isolated singularities, is -complete and is a Stein morphism, then is -complete.Complex Variables and Elliptic Equations 01/2015; 60(1). - [Show abstract] [Hide abstract]

**ABSTRACT:**We start with an identity for a Nevanlinna class function :where is the usual Nevanlinna counting function, and are the numerator singular measure for and the denominator singular measure for . We study potential theoretic properties for the complete Nevanlinna counting function for . For example, is shown to be subharmonic in and the behaviour at the boundary point of is related to the singular measure and that at infinity to . When , meaning the nontangential boundary values a.e. , is shown to be a subharmonic extension of the Green’s function for with pole at , which is unique in an appropriate sense. This property of gives new descriptions for the Green’s function and harmonic measures for the Green domain , as well as a classification of boundary points of . Finally, in the case of covering map , has no numerator singular factor for any .Complex Variables and Elliptic Equations 01/2015; 60(1). - [Show abstract] [Hide abstract]

**ABSTRACT:**Pseudo-differential operators and -toroidal symbols generated by a non-local boundary value problem are investigated. A formula for compositions with pseudo-differential operators generated by a non-local boundary value problem is derived. In the Hilbert space concepts of the Fourier transform and convolution generated by a non-local boundary value problem are introduced.Complex Variables and Elliptic Equations 01/2015; 60(1). - [Show abstract] [Hide abstract]

**ABSTRACT:**A result on the existence of a bounded degenerated elliptic differential operator is proved and an a priori estimate in the space () is obtained.Complex Variables and Elliptic Equations 01/2015; 60(1). -
##### Article: Central difference regularization method for inverse source problem on the Poisson equation

Complex Variables and Elliptic Equations 12/2014; -
##### Article: Existence and multiplicity results for p-laplacian Dirichlet problem with combined nonlinearities

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**ABSTRACT:**A class of p-laplacian equations with combined nonlinearities is studied. First, when the nonlinear term is asymptotically linear at infinity, existence result of four non-trivial solutions is obtained by Ekeland variational principle and mountain pass theorem. Second, when the nonlinear term is superlinear at positive infinity but asymptotically linear at negative infinity, some existence results for non-trivial solution are established by mountain pass theorem and a variant version of mountain pass theorem.Complex Variables and Elliptic Equations 12/2014; 59(10). - [Show abstract] [Hide abstract]

**ABSTRACT:**It has been shown that the Carleman–Vekua differential equation with a singular point of pole-type may have a continuous solution w(z), if and only if w(z) tends to zero at the singular point z = 0 as [Inline formula]. Necessary and sufficient conditions of solvability of the generalized Riemann–Hilbert problem are obtained.Complex Variables and Elliptic Equations 12/2014; 59(10). - [Show abstract] [Hide abstract]

**ABSTRACT:**In this paper we introduce the hybrid class of the so-called [Inline formula]-hypoelliptic symbols, and consider the corresponding pseudo-differential operators. With any [Inline formula]-elliptic pseudo-differential operator with positive order, we associate the minimal and maximal operators on [Inline formula][Inline formula]. Further on, we prove that the minimal and maximal operators are equal and we compute their domains in terms of a family of suitable Sobolev spaces. In the last section, we show that an [Inline formula]-elliptic pseudo-differential operator is Fredholm. Moreover, we discuss the essential spectra of [Inline formula]-elliptic pseudo-differential operators with suitable orders.Complex Variables and Elliptic Equations 12/2014; - [Show abstract] [Hide abstract]

**ABSTRACT:**We define [Inline formula]. In this paper, we characterize composition operators [Inline formula] and their adjoints [Inline formula] which belong to [Inline formula], where the maps [Inline formula] are linear fractional selfmaps of the open unit disk [Inline formula] into itself. If [Inline formula] is an automorphism of [Inline formula] or [Inline formula], then the case for [Inline formula] is precisely when it is normal. When [Inline formula], we also prove that if [Inline formula], then either [Inline formula] or [Inline formula], which implies that the only binormal composition operators [Inline formula] with [Inline formula] and [Inline formula] are normal. Moreover, we show that if [Inline formula] and [Inline formula] is not normal, then [Inline formula] implies that [Inline formula] and [Inline formula] is neither real nor purely imaginary, while [Inline formula] ensures that [Inline formula] and [Inline formula] is real. Finally, we study composition operators [Inline formula] in [Inline formula] where [Inline formula] is an analytic selfmap into [Inline formula]. In particular, this operator has the single-valued extension property.Complex Variables and Elliptic Equations 12/2014; 59(12). - [Show abstract] [Hide abstract]

**ABSTRACT:**In this paper, an approximation approach is used to study existence of distributional solutions for degenerate quasilinear elliptic problems having multiple singularities in the whole space.Complex Variables and Elliptic Equations 12/2014; 59(12). -
##### Article: On p-Yosida functions

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**ABSTRACT:**Growth of the Nevanlinna characteristic [Inline formula] of [Inline formula]-Yosida functions of the first category, [Inline formula], is estimated from below and then this estimate is used to prove that such functions do not have Valiron deficient values.Complex Variables and Elliptic Equations 12/2014; 59(12). - [Show abstract] [Hide abstract]

**ABSTRACT:**We consider the Hilbert boundary value problem for the upper half-plane in the situation where its coefficients have countably many discontinuities of jump type and two-side curling at infinity. We obtain the general solution and describe completely its solvability in a special class of functions for the case where the index of the problem has power singularity of order lesser than 1.Complex Variables and Elliptic Equations 12/2014; 59(12).

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