Abstract and Applied Analysis

Nonlinear Analysis and Geometric Function Theory


Publishing date
13 Jun 2014
Status
Published
Submission deadline
24 Jan 2014

1Faculty of Mechanical Engineering, University of Belgrade, Belgrade, Serbia

2Department of Mathematics, Bar-Ilan University, Ramat Gan, Israel

3Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India

4Faculty of Natural Sciences and Mathematics, University of Montenegro, Podgorica, Montenegro

5Mathematical Institute SANU and Faculty of Organizational Sciences, University of Belgrade, Belgrade, Serbia


Nonlinear Analysis and Geometric Function Theory

Description

In the area of partial differential equations, geometric function theory has an important role. The most recent developments in the theory of planar and space quasiconformal mappings are related to PDEs and nonlinear analysis. Nonlinear analysis deals with solving nonlinear problems in many areas of theoretic disciplines and in industry. Fixed-point theory is an important branch of nonlinear analysis, to investigate the conditions under which single-valued or multivalued mappings have solutions. Fixed-point techniques have been applied in diverse fields such as physics, biology, chemistry, economics, engineering, and game theory.

We invite authors to submit original research and review articles that will stimulate the significant contributions to the theory and applications of quasiconformal mappings and the topics inextricably linked by the theory of quasiconformal mappings. Moreover, we invite the participants and researchers of the Conference on Geometric Function Theory (http://www.matf.bg.ac.rs/eng/vesti/376/-conference-on-geometric-function-theory-23-24-october-2013-belgrade/), which will be held in Belgrade by the Faculty of Mathematics at the University of Belgrade from October 23 to October 24, 2013, to contribute the extended versions of their papers to this special issue. We are interested in articles concerning important developments in fixed-point theory of mappings satisfying nonlinear deterministic, or nondeterministic conditions in various spaces. We are interested particularly in application of fixed-point techniques to partial differential equations and, generally, to complex analysis. Potential topics include, but are not limited to:

  • Modular spaces of Riemann surfaces and conformal dynamical systems
  • Teichmüller theory and applications to geometry, topology, and dynamics
  • Existence, regularity, and geometric properties of solutions to nonlinear systems in both elliptic and degenerate elliptic settings
  • Elliptic partial differential equations and quasiconformal mappings in the plane
  • Harmonic and quasiconformal mappings and generalizations
  • Conformal geometry and quasiregular mappings
  • Nonlinear potential theory of degenerate elliptic equations
  • Geometric function theory
  • Isoperimetric inequality
  • Fixed-point theory in various spaces

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/geof/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 656957
  • - Editorial

Nonlinear Analysis and Geometric Function Theory

Ljubomir B. Ćirić | Samuel Krushkal | ... | Vesna Manojlović
  • Special Issue
  • - Volume 2014
  • - Article ID 895074
  • - Research Article

Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces

Miodrag Mateljević
  • Special Issue
  • - Volume 2014
  • - Article ID 196751
  • - Research Article

Complete Self-Shrinking Solutions for Lagrangian Mean Curvature Flow in Pseudo-Euclidean Space

Ruiwei Xu | Linfen Cao
  • Special Issue
  • - Volume 2014
  • - Article ID 985080
  • - Research Article

The Generalized Weaker -Contractive Mappings and Related Fixed Point Results in Complete Generalized Metric Spaces

Maryam A. Alghamdi | Chi-Ming Chen | Erdal Karapınar
  • Special Issue
  • - Volume 2014
  • - Article ID 568718
  • - Research Article

Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations

Marwan Amin Kutbi | Nawab Hussain | ... | Vahid Parvaneh
  • Special Issue
  • - Volume 2014
  • - Article ID 363925
  • - Research Article

Generalized Common Fixed Point Results with Applications

Marwan Amin Kutbi | Muhammad Arshad | ... | Akbar Azam
  • Special Issue
  • - Volume 2014
  • - Article ID 213296
  • - Research Article

Convergence of Numerical Solution of Generalized Theodorsen’s Nonlinear Integral Equation

Mohamed M. S. Nasser
  • Special Issue
  • - Volume 2014
  • - Article ID 683295
  • - Research Article

Implicit Approximation Scheme for the Solution of -Positive Definite Operator Equation

Naseer Shahzad | Arif Rafiq | Habtu Zegeye
  • Special Issue
  • - Volume 2014
  • - Article ID 303484
  • - Research Article

Caristi Fixed Point Theorem in Metric Spaces with a Graph

M. R. Alfuraidan | M. A. Khamsi
  • Special Issue
  • - Volume 2014
  • - Article ID 634710
  • - Research Article

Applications of Differential Subordination for Argument Estimates of Multivalent Analytic Functions

Meng-Ting Lu | Ting Jia | ... | Jin-Lin Liu
Abstract and Applied Analysis
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Acceptance rate7%
Submission to final decision110 days
Acceptance to publication33 days
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